ORIGINAL_ARTICLE
Separation of methacrylic acid from aqueous phase using quaternary amine
The feasibility of extractive reaction of methacrylic acid from aqueous solution using a quaternary amine, tri–octyl methyl ammonium chloride (TOMAC) as an extractant, was studied. The diluents chosen in the present work belong to different chemical classes, n–butyl acetate, carbon tetrachloride, isoamyl alcohol, methyl isobutyl ketone, and toluene. The effect of initial acid concentration in the aqueous phase, and initial extractant concentration in the organic phase were studied. The performances of physical and reactive extraction of individual diluents were reported in terms of overall distribution coefficient, overall loading ratios, and stoichiometric loading ratios. Maximum extractability was observed in case of methyl isobutyl ketone, while minimum with carbon tetrachloride. The remarkable feature of linear solvation energy relationship (LSER) modeling is that it takes into account physical interactions. To check the accuracy of the experimental observations, they were correlated with the LSER modeling parameters, and fairly good agreement was observed between them.
http://jhmtr.journals.semnan.ac.ir/article_361_8bcbdb50ac13db48ef21a484bfde7e08.pdf
2016-04-01T11:23:20
2018-03-22T11:23:20
1
7
10.22075/jhmtr.2016.361
Methacrylic acid
extractant
diluent
distribution coefficient
Modeling
Akanksha
Swarnkar
akanksha.swarnkar@yahoo.com
true
1
National Institute of Technology, RAIPUR.
National Institute of Technology, RAIPUR.
National Institute of Technology, RAIPUR.
LEAD_AUTHOR
Amit
Keshav
dr.amitkeshav@gmail.com
true
2
National Institute of Technology
National Institute of Technology
National Institute of Technology
AUTHOR
Anupam Bala
Soni
absoni.chem@nitrr.ac.in
true
3
National Institute of Technology
National Institute of Technology
National Institute of Technology
AUTHOR
[1]. S.H. Pyo, T. Dishisha, S. Dayankac, J. Gerelsaikhan, S. Lundmark, N. Rehnberg, R. Hatti-Kaul, A new route for the synthesis of methacrylic acid from 2-methyl-1,3-propanediol by integrating biotransformation and catalytic dehydration, Green Chemistry, 14,1942–1948, (2012).
1
[2]. P. Rajagopalan, M. Kuhnle, M. Polyakov, K. Muller, W. Arlt, D. Kruse, A. Bruckner&U. Bentrup U, Methacrylic acid by carboxylation of propene with CO2 over POM catalysts—Reality or wishful thinking?,Catalysis Communications, 48, 19–23, (2014).
2
[3]. S.T. Yang, S.A. White, S.T. Hsu, Extraction of carboxylic acids with tertiary and quaternary amines: effect of pH, Industrial & Engineering Chemistry Research, 30, 1335–1342, (1991).
3
[4]. N. Pehlivanoglu, H. Uslu, S.I. Kirbaslar, Separation of Oxoethanoic Acid from Aqueous Solution by N-Methyl-N,N-dioctyloctan-1-ammonium Chloride, Journal of Chemical & Engineering Data, 59,936–941, (2014).
4
[5]. K.L. Wasewar, D. Shende, A. Keshav, Reactive Extraction of Itaconic Acid Using Quaternary Amine Aliquat 336 in Ethyl Acetate, Toluene, Hexane, and Kerosene, Industrial & Engineering Chemistry Research, 50, 1003–1011, (2011).
5
[6]. A. Keshav, S. Chand, K.L. Wasewar, Recovery of propionic acid from aqueous phase by reactive extraction using quarternary amine (Aliquat 336) in various diluents, Chemical Engineering Journal, 152,95–102, (2009).
6
[7]. www.microkat.gr/msdspd90-99/Methacrylic acid.htm, accessed on 25th August, 2015.
7
[8]. J.C. Rydberg, M. Cox, C. Musikas, G.R. Choppin, Solvent Extraction: Principles and Practice, second ed., Marcel Decker, New York, 20, (2004).
8
[9]. J.M. Wardell, C.J. King, Solvent Equilibria for Extraction of Carboxylic Acids from Water, Journal of Chemical & Engineering Data, 23(2), 144–148, (1979).
9
[10]. M.J. Kamlet, M. Abboud, M.H. Abraham, R.W. Taft, Linear Solvation Energy Relationships. 23. A Comprehensive Collection of the Solvatochromic Parameters, π*, α, and β, and Some Methods for Simplifying the Generalized Solvatochromic Equation, The Journal of Organic Chemistry, 48, 2877–2887, (1983).
10
[11]. I. Inci, Y.S. Asci, H. Uslu, LSER modeling of extraction of succinic acid by tridodecylamine dissolved in 2-octanone and 1-octanol, Journal of Industrial and Engineering Chemistry 18,152–159, (2012).
11
[12]. H. Uslu, Separation of Picric Acid with Trioctyl Amine (TOA)Extractant in Diluents, Separation Science and Technology 46, 1178–1183, (2011).
12
[13]. A. Keshav, K. L. Wasewar, S. Chand, H. Uslu, Reactive Extraction of Propionic Acid Using Aliquat-336 in 2-Octanol:Linear Solvation Energy Relationship (LSER) Modeling and Kinetics Study, Chemical & Biochemical EngineeringQuarterly24(1), 67–73 (2010).
13
[14]. A. Keshav, K. L. Wasewar, S. Chand, Reactive extraction of propionic acid using Aliquat 336 in MIBK: Linear solvation energy relationship (LSER) modeling and kinetics study, Journal of Scientific & Industrial Research 68, 708–713 (2009).
14
[15]. H. Uslu, Reactive Extraction of Levulinic Acid Using TPA in Toluene Solution: LSER Modeling, Kinetic and Equilibrium Studies,Separation Science & Technology 43(6), 1535–1548, (2008).
15
[16]. H. Uslu, Extracion of citric acid in 2-octanol and 2-propanol solutions containing tomac: an equilibria and a LSER model, Brazilian Journal of Chemical Engineering 25(3), 553–561, (2008).
16
[17]. H. Uslu, Linear Solvation Energy Relationship (LSER) Modeling and Kinetic Studies on Propionic Acid Reactive Extraction Using Alamine 336 in a Toluene Solution, Industrial & Engineering Chemistry Research 45, 5788–5795, (2006).
17
ORIGINAL_ARTICLE
Analysis of Radiation Heat Transfer of a Micropolar Fluid with Variable Properties over a Stretching Sheet in the Presence of Magnetic Field
The present study deals with the analysis of the effects of radiative heat transfer of micropolar fluid flow over a porous and stretching sheet in the presence of magnetic field. The dynamic viscosity and thermal conductivity coefficient have formulated by temperature-dependent relations to obtain more exact results. The flow is supposed two-dimensional, incompressible, steady and laminar and the applied magnetic field is assumed uniform. On the other hand, the velocity of the isothermal stretching sheet varies linearly with the distance from a fixed point on the sheet. The governing equations have extracted using the theory of micropolar fluid and the boundary layer approximation. Then they have been solved by similarity solution relationships, shooting method and fourth-order Runge-Kutta method. The results express that the presence and increase of variable thermal conductivity parameter, magnetism, radiation and variable viscosity parameter cause to decrease of heat transfer from the sheet, while increase of material parameter, Prandtl number and suction parameter increase the rate of heat transfer from the sheet. Also the values of dimensionless velocity are enhanced by increase of variable thermal conductivity parameter, material parameter and radiation parameter. On the other hand, the values of dimensionless angular velocity are completely influenced by the values of the velocity gradient.
http://jhmtr.journals.semnan.ac.ir/article_403_47db1aa2fb48112697023ca40e1ffaeb.pdf
2016-04-01T11:23:20
2018-03-22T11:23:20
9
19
10.22075/jhmtr.2016.403
Micropolar fluid
Radiation
magnetic field
Viscosity
thermal conductivity
Reza
Keimanesh
rkeimanesh@mail.kntu.ac.ir
true
1
M.Sc. of Mechanical Engineering, K. N. Toosi University of Technology,Tehran, Iran
M.Sc. of Mechanical Engineering, K. N. Toosi University of Technology,Tehran, Iran
M.Sc. of Mechanical Engineering, K. N. Toosi University of Technology,Tehran, Iran
LEAD_AUTHOR
Cyrus
Aghanajafi
aghanajafi@kntu.ac.ir
true
2
Faculty of Mechanical Engineering, K. N. Toosi University of Technology,Tehran, Iran
Faculty of Mechanical Engineering, K. N. Toosi University of Technology,Tehran, Iran
Faculty of Mechanical Engineering, K. N. Toosi University of Technology,Tehran, Iran
AUTHOR
[1]. A.C.Eringen, Simple microfluids, International Journal of Engineering Science, 2, 205-217, (1964).
1
[2]. M.W.Heruska, L.T.Watson, K.K. Sankara, Micropolar flow past a porous stretching sheet, Computers and Fluids, 14, 117-129,(1986).
2
[3]. I.A.Hassanien, A.A.Abdullah, R.S.R.Gorla, Numerical solutions for heat transfer in a micropolar fluid over a stretching sheet, Applied Mechanics and Engineering, 3, 377-391,(1998).
3
[4]. S.N.Odda, A.M.Farhan, Chebyshev finite difference method for the effects of variable viscosity and variable thermal conductivity on heat transfer to a micro-polar fluid from a non-isothermal stretching sheet with suction and blowing, Chaos, Solitons & Fractals, 30, 851-858,(2006).
4
[5]. N.A.Yacob, A.Ishak, I.Pop, Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet in a micropolar fluid, Computers & Fluids, 47, 16-21,(2011).
5
[6]. M.M.Rahman, M.A.Rahman, M.A.Samad, M.S.Alam, Heat transfer in a micropolar fluid along a non-linear stretching sheet with a temperature-dependent viscosity and variable surface temperature, International Journal of Thermophysics, 30, 1649–1670,(2009).
6
[7]. N.A.Yacob, A.Ishak, Micropolar fluid flow over a shrinking sheet, Maccanica, 47, 293-299,(2012).
7
[8]. A.Ishak, Y.Y.Lok, I.Pop, Stagnation-Point flow over a shrinking sheet in a micropolar fluid, Chemical Engineering Communications, 197, 1417-1427,(2010).
8
[9]. S.Nadeem, S.Abbasbandy, M.Hussain, Series solutions of boundary layer flow of a micropolar fluid near the stagnation point towards a shrinking sheet, Zeitschrift für Naturforschung A, 64, 575-582,(2009).
9
[10]. M.M.Rahman, Convective flows of micropolar fluids from radiate isothermal porous surfaces with viscous dissipation and Joule heating, Communications in Nonlinear Science and Numerical Simulation, 14, 3018-3030,(2009).
10
[11]. A.Ishak, Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect, Meccanica, 45, 367-373,(2010).
11
[12]. M.M.Rashidi, S.A.Mohimanian pour, S.Abbasbandy, Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation, Communications in Nonlinear Science and Numerical Simulation, 16, 1874-1889,(2011).
12
[13]. K.Bhattacharyya, S.Mukhopadhyay, G.C.Layek, I.Pop, Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet, International Journal of Heat and Mass Transfer, 55, 2945-2952,(2012).
13
[14]. M.A.A.Mahmoud, S.E.Waheed, Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity, Applied Mathematics and Mechanics, 33, 663-678,(2012).
14
[15]. M.Hussain, M.Ashraf, S.Nadeem, M.Khan, Radiation effects on the thermal boundary layer flow of a micropolar fluid towards a permeable stretching sheet, Journal of the Franklin Institute, 350, 194-210,(2013).
15
[16]. E.M.A.Elbashbeshy, Radiation effect on heat transfer over a stretching surface, Canadian Journal of Physics, 78, 1107-1112,(2000).
16
[17]. M.A.A.Mahmoud, S.E.Waheed, MHD flow and heat transfer of a micropolar fluid over a nonlinear stretching surface with variable surface heat flux and heat generation,the Canadian journal of chemical engineering, 89, 1408-1415,(2011).
17
[18]. M.A.A.Mahmoud, Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity, Physica A, Statistical Mechanics and its Applications, 375, 401-410,(2007).
18
[19]. K.Das, Influence of thermophoresis and chemical reaction on MHD micropolar fluid flow with variable fluid properties, International Journal of Heat and Mass Transfer, 55, 7166-7174,(2012).
19
[20]. H.Kummerer, Similar laminar boundary layers in incompressible micropolar fluids, Rheologica Acta, 16, 261-265,(1977).
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[21]. M.A.Hossain, M.K.Chowdhury, Mixed convection flow of micropolar fluid over an isothermal plate with variable spin gradient viscosity, Acta Mechanica, 131, 139-151,(1998).
21
[22]. K.K.Sankara, L.T.Watson, Micropolar flow past a stretching sheet, Journal of Applied Mathematics and Physics, 36, 845-853,(1985).
22
[23]. T.Y.Na, I.Pop, Boundary layer flow of a micropolar fluid due to a stretching wall, Archive of Applied Mechanics, 67, 229-236,(1997).
23
[24]. D.Philip, P.Chandra, Flow of Eringen fluid (simple microfluid) through an artery with mild stenosis, International journal of engineering science, 34, 87-99,(1996).
24
[25]. A.C.Eringen, Theory of micropolar fluids, Journal of Mathematics and Mechanics, 16, 1-18,(1965).
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[26]. M.Q.Brewster, Thermal Radiative Transfer and properties, John Wiley and Sons, (1972).
26
[27]. J.Chen, C.Lian,J.D.Lee, Theory and simulation of micropolar fluid dynamics, Proceedings of the Institution of Mechanical Engineers, Part N, Journal of Nanoengineering and Nanosystems, 224, 31-39,(2010).
27
[28]. S.K.Jena, M.N.Mathur, Similarity solutions for laminar free convection flow of a thermomicropolar fluid past a non-isothermal vertical flat plate, International Journal of Engineering Science, 19, 1431-1439,(1981).
28
[29]. G.S.Guram, A.C.Smith, Stagnation flow of micropolar fluids with strong and weak interactions, Computers & Mathematics with Applications, 6, 213-233,(1980).
29
[30]. G.Ahmadi, Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate, International Journal of Engineering Science, 14, 639-646,(1976).
30
[31]. J.Peddieson, An application of themicropolar fluid model to the calculation of turbulent shear flow, International Journal of Engineering Science, 10, 23-32,(1972).
31
[32]. G.Bugliarello, J.Sevilla, Velocity distribution and other characteristics of steady and pulsatile blood flow in fine glass tubes, Biorheology, 7, 85-107, (1970).
32
[33]. W.M.Kays, Convective heat and mass transfer,McGraw-Hill, New York, (1966).
33
[34]. M.Arunachalam, N.R.Rajappa, Thermal boundary layer in liquid metals with variable thermal conductivity, Applied Scientific Research, 34, 179-187,(1978).
34
[35]. D.Knezevic, V.Savic, Mathematical modeling of changing of dynamical viscosity, as a function of temperature and pressure, of mineral oils for hydraulic systems, Facta Universitatis (Series: Mechanical Engineering), 4, 27-34,(2006).
35
[36]. M.Yurusoy, M.Pakdemirli, Approximate analytical solutions for the flow of a third-grade fluid in pipe, International Journal of Non-Linear Mechanics, 37, 187-95,(2002).
36
[37]. J.X.Ling, A.Dybbs, Forced convection over a flat plate submersed in a porous medium: variable viscosity case, ASME, Paper 87-WA/HT-23, ASME winter annual meeting, Boston, Massachusetts, 13-18,(1987).
37
[38]. F.C.Lai, F.A.Kulacki, The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium, International Journal of Heat and Mass Transfer, 33, 1028-1031,(1990).
38
[39]. K.V.Prasad, K.Vajravelu, P.S.Datti, The effects of variable fluid properties on the hydro-magnetic flow and heat transfer over a non-linearly stretching sheet, International Journal of Thermal Sciences, 49, 603-610,(2010).
39
[40]. L.J.Grubka, K.M.Bobba, Heat transfer characteristics of a continuous, stretching surface with variable temperature, ASME Journal of Heat Transfer, 107, 248-250, (1985).
40
[41]. M.E.Ali, Heat transfer characteristics of a continuous stretching surface, Heat and Mass Transfer, 29, 227-234,(1994).
41
C.H.Chen, Laminar mixed convection adjacent to vertical, continuously stretching sheets, Heat and Mass Transfer, 33, 471-476, (1998).
42
ORIGINAL_ARTICLE
Slip flow of an optically thin radiating non-Gray couple stress fluid past a stretching sheet
This paper addresses the combined effects of couple stresses, thermal radiation, viscous dissipation and slip condition on a free convective flow of a couple stress fluid induced by a vertical stretching sheet. The Cogley- Vincenti-Gilles equilibrium model is employed to include the effects of thermal radiation in the study. The governing boundary layer equations are transformed into a system of nonlinear differential equations, and solved numerically using the Runge-Kutta fourth order method with shooting technique. Numerical results are obtained for the fluid velocity, temperature as well as the shear stress and rate of heat transfer. The effects of the pertinent parameters on these quantities are examined. It is found that both the fluid velocity and temperature reduce in the presence of thermal radiation. Increasing values of the couple stress parameter thicken the momentum boundary layer. The slip parameter greatly influences the fluid flow and shear stress on the surface of the stretching sheet.
http://jhmtr.journals.semnan.ac.ir/article_405_e62dcca96469642dddc90bc6b8e76e91.pdf
2016-04-01T11:23:20
2018-03-22T11:23:20
21
30
10.22075/jhmtr.2016.405
Slip flow
couple stress fluid
stretching sheet
thermal radiation
viscous dissipation
Sanatan
Das
tutusanasd@yahoo.co.in
true
1
University of Gour Banga, Malda 732 103, WB, India
University of Gour Banga, Malda 732 103, WB, India
University of Gour Banga, Malda 732 103, WB, India
LEAD_AUTHOR
Akram
Ali
akramaliugb@gmail.com
true
2
University of Gour Banga, Malda 732 103, India
University of Gour Banga, Malda 732 103, India
University of Gour Banga, Malda 732 103, India
AUTHOR
Rabindra Nath Jana
Jana
jana261171@yahoo.co.in
true
3
Vidyasagar University, Midnapore 721 102, India
Vidyasagar University, Midnapore 721 102, India
Vidyasagar University, Midnapore 721 102, India
AUTHOR
[1]. Stokes, V. K. (1966). Couple stresses in fluid. The Physics of Fluids 9(9), 1709-1715 .
1
[2]. Stokes, V. K. (1984). Theories of Fluids with Microstructure: An Introduction, Springer Verlag, New York.
2
[3]. Fischer, E.G. (1976). Extrusion of plastics. Wiley, New York, 1976.
3
[4]. Sakiadis, B.C.(1961). Boundary layer behaviour on continuous solid surfaces: I boundary layer on a continuous flat surface. AICHE J. 7, 221–5.
4
[5]. Crane, L.(1970). Flow past a stretching plate. Z. Angew. Math. Phys. 21, 645-7.
5
[6]. Gupta, P.S., Gupta, A.S. (1977). Heat and mass transfer on a stretching sheet with suction or blowing. Canad. J. Chem. Engg. 55, 744-746.
6
[7]. Rajagopal, K.R., Na, T.Y., Gupta, A.S.(1984). Flow of viscoelastic fluid due to a stretching sheet. Rheol. Acta. 23, 213-215.
7
[8]. Siddappa, B., Abel, M. S.(1985). Non- Newtonian flow past a stretching surface, Z. Angew. Math. Phys. 36, 890-892.
8
[9]. Andersson, H.I.(1992). MHD flow of a viscoelastic fluid past a stretching surface. Acta Mech. 95, 227-230.
9
[10]. Kumaran, V., Ramanaiah, G.(1996) A note on the flow over a stretching sheet. Acta Mech. 116, 229- 233.
10
[11]. Wang, C.Y. (2002). Flow due to a stretching boundary with partial slip. An exact solution of the Navier–Stokes equations. Chem. Eng. Sci. 57, 3745–7.
11
[12]. Cortell, R. (2007). Viscous flow and heat transfer over a nonlinearly stretching sheet. Appl. Math. Comput. 184 (2), 864-873.
12
[13]. Ariel, P.D., Hayat, T., Asghar, S. (2006). The flow of an elastico-viscous fluid past a stretching sheet with slip. Acta Mech. 187, 29–36.
13
[14]. Akyildiz, F.T., Bellout, H., Vajravelu, K.(2006). Diffusion of chemically reactive species in a porous medium over a stretching sheet. J. Math. Anal, Appl. 320, 322–39.
14
[15]. Wang, C.Y.(2009). Analysis of viscous flow due to a stretching sheet with surface slip and suction. Nonlinear Anal Real World Appl. 10, 375–80.
15
[16]. Fang, T., Zhang, J., Yao, S. (2009). Slip MHD viscous flow over a stretching sheet- An exact solution. Comm. Nonlinear Num. Simu. 14, 3731-3737.
16
[17]. Fang, T., Zhang, J., Yao, S. (2010). Slip MHD viscous flow over a permeable shrinking sheet. Chinese Phys. Lett. 27, 124702.
17
[18]. Fang, T.G., Zhang, J.(2010). Thermal boundary layers over a shrinking sheet: an analytical solution. Acta Mech. 209, 325–43.
18
[19]. Arnold, J.C., Asir, A.A.,Somasundaram, S., Christopher, T. (2010). Heat transfer in a visco-elastic boundary layer flow over a stretching sheet. Int. J. Heat Mass Transfer 53, 1112–8.
19
[20]. Shantha, G., Shanker, B. (2010). Free convection flow of a conducting couple stress fluid in a porous medium. Int. J. Numer. Methods Heat Fluid Flow 20, 250-264.
20
[21]. Srinivasacharya, D., Kaladhar, K. (2012). Mixed convection flow of couple stress fluid in a non-darcy porous medium with Soret and Dufour effects. J. Appl. Sci. Eng 15, 415 -422.
21
[22]. Nandeppanavar, M.M., Vajravelu, K., Abel, M.S., Siddalingappa, M. N.(2012). Second order slip flow and heat transfer over a stretching sheet with non-linear Navier boundary condition. Int. J. Therm. Sci. 58, 143–50.
22
[23]. Singh, G., Makinde, O.D. (2013). MHD slip flow of viscous fluid over an isothermal reactive stretching sheet. ANNALS of Faculty Engineering Hunedoara – Int. J. Engn. Tome XI, 41-46.
23
[24]. Hayat, T., Mustafa, M., Iqbal, Z., Alsaedi, A. (2013). Stagnation-point flow of couple stress fluid with melting heat transfer. Appl. Math. Mech.-Eng. Ed 34, 167-176.
24
[25]. Turkyilmazoglu, M. (2014). Exact solutions for two-dimensional laminar flow over a continuously stretching or shrinking sheet in an electrically conducting quiescent couple stress fluid. Int.J. Heat Mass Transfer 72, 1-8.
25
[26]. Siddheshwar, P.G., Sekhar, G.N., A. S. Chethan, A.S. (2014). MHD Flow and heat transfer of an exponential stretching sheet in a Boussinesq-Stokes suspension. J. Appl. Fluid Mech. 7(1), 169-176.
26
[27]. Salem, A. M., Ismail, G. Fathy, R. (2014). Hydromagnetic flow of Cu- water nanofluid past a moving wedge with viscous dissipation. Chin. Phys. B 23(4), 044402.
27
[28]. Zhu, J., Zheng, L., Zheng, L., Zhang, X. (2015). Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction. Appl. Math. Mech. - Engl. Ed., 36(9), 1131-1146.
28
[29]. Sheikholeslami, M., Rashidi, M.M. , Ganji, D.D. (2015). Numerical investigation of magnetic nanofluid forced convective heat transfer in existence of variable magnetic field using two phase model. J. Molecular Liquids 212, 117-126.
29
[30]. Sheikholeslami, M., Rashidi, M.M., Ganji, D.D. (2015). Effect of non-uniform magnetic field on forced convection heat transfer of Fe3O4- water nanofluid. Comput. Methods Appl. Mech. Engrg. 294, 299-312
30
[31]. Kandelousi, M. S. (2014). Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition. The European Phys. J. Plus, 129- 248.
31
[32]. Sheikholeslami, M., Ganji, D.D.(2015). Nanofluid flow and heat transfer between parallel plates considering Brownian motion using DTM. Comput. Methods Appl. Mech. Eng. 283, 651-663.
32
[33]. Sheikholeslamia, M., Ganji, D. D., Javed, M. Y., Ellahi, R. (2015). Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model. J. Magnetism and Magnetic Materials 374, 36-43.
33
[34]. Sheikholeslami, M., Vajravelu, K., Rashidi, M. M. (2016). Forced convection heat transfer in a semi annulus under the influence of a variable magnetic field. Int. J. Heat and Mass Transfer 92, 339-348
34
[35]. A.C. Cogley, W.C. Vincentine, S.E. Gilles, A differential approximation for radiative transfer in a non-gray gas near equilibrium, AIAA Journal 6 (1968) 551-555.
35
[36]. R. Grief, I. S. Habib, J. C. Lin, Laminar convection of a radiating gas in a vertical channel, J. Fluid Mech. 46 (1970) 513-520.
36
[37]. T. Y. Na, Computational Method in Engineering Boundary Value Problems. Academic Press, New York, 197
37
ORIGINAL_ARTICLE
Effects of Some Thermo-Physical Parameters on Free Convective Heat and Mass Transfer over Vertical Stretching Surface at Absolute Zero
Effects of some thermo-physical parameters on free convective heat and mass transfer over a vertical stretching surface at lowest level of heat energy in the presence of suction is investigated. The viscosity of the fluid is assumed to vary as a linear function of temperature and thermal conductivity is assumed constant. A similarity transformation is applied to reduce the governing equations into a coupled ordinary differential equations corresponding to the momentum, energy and concentration equations. These equations along with the boundary conditions were also solved numerically using shooting method along with Runge-Kutta Gill method. The effects of thermo-physical parameters on the velocity, temperature and concentration profiles are shown graphically. It is found that with an increase in the value of temperature-dependent fluid viscosity parameter, the velocity increases while the temperature and concentration decreases across the flow region. Dufour, Soret, Frank-Kamenetskii, Prandtl and Schmidt number activation energy also have effect. Numerical data for the local skin-friction coefficient, the local Nusselt number and the local Sherwood number have been tabulated for various values of certain parameter conditions.
http://jhmtr.journals.semnan.ac.ir/article_424_4852f8e544094cd3696d1ac8b902e088.pdf
2016-04-01T11:23:20
2018-03-22T11:23:20
31
46
10.22075/jhmtr.2016.424
Free convection
Newtonian Fluid
Variable fluid viscosity
Surface at Absolute zero
Dufour and Soret
Koriko
Olubode
okkoriko@futa.edu.ng
true
1
Federal University Of Technology, Akure, Ondo State, Nigeria.
Federal University Of Technology, Akure, Ondo State, Nigeria.
Federal University Of Technology, Akure, Ondo State, Nigeria.
AUTHOR
Omowaye
John
ajomowaye@futa.edu.ng
true
2
Federal University of Technology, Akure, Ondo State, Nigeria.
Federal University of Technology, Akure, Ondo State, Nigeria.
Federal University of Technology, Akure, Ondo State, Nigeria.
AUTHOR
Animasaun
Lare
anizakph2007@gmail.com
true
3
Federal University of Technology, Akure, Ondo State, Nigeria.
Federal University of Technology, Akure, Ondo State, Nigeria.
Federal University of Technology, Akure, Ondo State, Nigeria.
LEAD_AUTHOR
[1]. H. Blasius, “Grenzschichten in Fl ssigkeiten mit kleiner Reibung,” Z.Math.Phys, 56, (1908) pp. 1-37.
1
[2]. P. Loganathan and P. P. Arasu, “Lie Group Analysis for the Effects of Variable Fluid Viscosity and Thermal Radiation on Free Convective Heat and Mass Transfer with Variable Stream Condition,” Scientific Research Journal, 2, (2010) pp. 625-634.
2
[3]. B.C. Sakiadis, “Boundary Layer Behavior on Continuous Solid Surfaces. I:Boundary Layer Equations for two-dimensional and Axisymmetric flow,” AIChE Journal, 7, (1961) pp. 26–28.
3
[4]. B.C. Sakiadis, “Boundary layer Behaviour on Continuous Solid Surfaces. II:Boundary Layer Behaviour on continuous flat surfaces,” AIChE Journal, 7, (1961) pp. 221–225.
4
[5]. L.J. Crane, “Flow Past a Stretching Plate,” Journal of Applied Mathematics and Physics, 21, 4, (1970) pp. 645–647.
5
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14
[15]. I.L. Animasaun, “Casson Fluid Flow of Variable Viscosity and Thermal Conductivity alongExponentially Stretching Sheet Embedded in a Thermally Stratified Mediumwith Exponentially Heat Generation”, Journal of Heat and Mass Transfer Research, 2 (2015)pp. 63-78.
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[21]. I. L. Animasaun, “Double diffusive unsteady convective micropolar flow past a vertical porous plate moving through binary mixture using modified Boussinesq approximation”, Ain Shams Engineering Journal, 7 (2016) pp. 755 – 765. doi: 10.1016/j.asej.2015.06.010
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[28]. N. Sandeep, O. K. Koriko, I. L. Animasaun, “Modified kinematic viscosity model for 3D-Cassonfluidflow withinboundary layer formed on a surface at absolute zero,” Journal of Molecular Liquids, 221, (2016) pp. 1197 – 1206.
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[29]. I. L. Animasaun, “Melting heat and mass transfer in stagnation point micropolar fluid flow of temperature dependent fluid viscosity and thermal conductivity at constant vortex viscosity,” Journal of the Egyptian Mathematical Society, in-press. (2016) 1–7. http://dx.doi.org/10.1016/j.joems.2016.06.007
29
A. J. Omowaye and I. L. Animasaun, “Upper-Convected Maxwell Fluid Flow with VariableThermo-Physical Properties over a Melting SurfaceSituated in Hot Environment Subject to ThermalStratification,” Journal of Applied Fluid Mechanics, 9(4) (2016) pp. 1777-1790
30
ORIGINAL_ARTICLE
Non-Fourier heat conduction equation in a sphere; comparison of variational method and inverse Laplace transformation with exact solution
Small scale thermal devices, such as micro heater, have led researchers to consider more accurate models of heat in thermal systems. Moreover, biological applications of heat transfer such as simulation of temperature field in laser surgery is another pathway which urges us to re-examine thermal systems with modern ones. Non-Fourier heat transfer overcomes some shortcomings of Fourier heat transfer, when small scale systems as considered or non-homogeneous materials are under study. In this paper, the hyperbolic heat conduction problem in a sphere is solved by three approaches.1. Finding the exact solution by using the method of separation of variables2. Finding two approximate solutions by using the Laplace transformation and thena. applying the variational method for finding the Laplace inverseb. finding the solution of the problem in Laplace domain and using an asymptotic series to evaluate the solution for small values of timesVarious orders for the variational method are considered and compared against analytical solution. Since the two latter methods can be used in nonlinear problems such as those include radiation heat loss, the approximate solutions can be useful addition in the field of thermal analysis of non-Fourier problems.
http://jhmtr.journals.semnan.ac.ir/article_344_1ad1fd82e91578307309adfbef3d5f10.pdf
2016-04-01T11:23:20
2018-03-22T11:23:20
47
55
10.22075/jhmtr.2016.344
Non-Fourier heat conduction
variational formulation
Laplace transformation
separation of variables
spherical coordinate
Mohammad Sadegh
Motaghedi Barforoush
ms.motaghedi@yahoo.com
true
1
Semnan University
Semnan University
Semnan University
LEAD_AUTHOR
Syfolah
Saedodin
s_sadodin@semnan.ac.ir
true
2
Faculty of Mechanical Engineering, Semnan University, Iran
Faculty of Mechanical Engineering, Semnan University, Iran
Faculty of Mechanical Engineering, Semnan University, Iran
AUTHOR
[1] Bergman TL, Lavine AS, Incropera FP, DeWitt DP. Introduction to Heat Transfer. 6th ed. John Wiley and Sons, Inc.; 2011.
1
[2] Torabi M, Zhang K. Multi-dimensional dual-phase-lag heat conduction in cylindrical coordinates: Analytical and numerical solutions. Int J Heat Mass Transf 2014;78:960–6.
2
[3] Tzou DY. Macro- to Microscale Heat Transfer: The Lagging Behavior. Washington, DC: Taylor and Francis; 1997.
3
[4] Shirmohammadi R, Moosaie A. Non-Fourier heat conduction in a hollow sphere with periodic surface heat flux. Int Commun Heat Mass Transf 2009;36:827–33.
4
[5] C. Cattaneo. Sur une forme de l’equation de la chaleur eliminant le paradoxe d’une propagation instantanée (in French). Comptes Rendus l’Académie Des Sci 1958;247:431–3.
5
[6] P. Vernotte. Les paradoxes de la théorie continue de l’equation de la chaleur (in French). Comptes Rendus l’Académie Des Sci 1958;246:3154–5.
6
[7] Liu H, Bussmann M, Mostaghimi J. A comparison of hyperbolic and parabolic models of phase change of a pure metal. Int J Heat Mass Transf 2009;52:1177–84.
7
[8] Mitra K, Kumar S, Vedavarz A, Moallemi MK. Experimental evidence of hyperbolic heat conduction in processed meat. J Heat Transfer 1995;117:568–73.
8
[9] Kaminski W. Hyperbolic heat conduction equation for materials with a nonhomogeneous inner structure. J Heat Transfer 1995;112:555–60.
9
[10] Yilbas BS, Al-Dweik AY, Bin Mansour S. Analytical solution of hyperbolic heat conduction equation in relation to laser short-pulse heating. Phys B Condens Matter 2011;406:1550–5.
10
[11] Lam TT, Fong E. Application of solution structure theorems to Cattaneo–Vernotte heat conduction equation with non-homogeneous boundary conditions. Heat Mass Transf 2012;49:509–19.
11
[12] Lee H-L, Chang W-J, Wu S-C, Yang Y-C. An inverse problem in estimating the base heat flux of an annular fin based on the hyperbolic model of heat conduction. Int Commun Heat Mass Transf 2013;44:31–7.
12
[13] Kundu B, Lee K-S. A non-Fourier analysis for transmitting heat in fins with internal heat generation. Int J Heat Mass Transf 2013;64:1153–62.
13
[14] Torabi M, Saedodin S. Analytical and numerical solutions of hyperbolic heat conduction in cylindrical coordinates. J Thermophys Heat Transf 2011;25:239–53.
14
[15] Quintanilla R. Some solutions for a family of exact phase-lag heat conduction problems. Mech Res Commun 2011;38:355–60.
15
[16] Saedodin S, Yaghoobi H, Torabi M. Application of the variational iteration method to nonlinear non-Fourier conduction heat transfer equation with variable coefficient. Heat Transf - Asian Res 2011;40:513–23.
16
[17] Torabi M, Yaghoobi H, Saedodin S. Assessment of homotopy perturbation method in nonlinear convective-radiative non-Fourier conduction heat transfer equation with variable coefficient. Therm Sci 2011;15:263–74.
17
[18] Saleh A, Al-Nimr MA. Variational formulation of hyperbolic heat conduction problems applying Laplace transform technique. Int Commun Heat Mass Transf 2008;35:204–14.
18
[19] He J-H. Variational approach for nonlinear oscillators. Chaos, Solitons & Fractals 2007;34:1430–9.
19
[20] Arpaci VS, Vest CM. Variational formulation of transformed diffusion problems. ASME-AIChE Transf. Conf. Exhib., Seattle, Washington: 1967.
20
[21] Hahn DW, Özişik MN. Heat Conduction. 3rd ed. Hoboken, New Jersey: John Wiley & Sons, Inc.; 2012.
21
[22] Kreyszig E. Advanced Engineering Mathematics. 10th editi. Wiley; 2011.
22
ORIGINAL_ARTICLE
An experimental investigation of performance of a 3-D solar conical collector at different flow rates
The shape of a solar collector is an important factor in solar-to-thermal energy conversion. Conical shape is one of the stationary and symmetric shapes that can be employed as a solar water heater. Flow rate of working fluid on the solar collector has an important effect on the efficiency of the collector. The present study is an experimentally investigated of the performance of the solar conical collector with 1m2 of absorber area at different volumetric flow rates. Water was used as the working fluid with the volumetric flow rate between 0.35-2.8 lit/min and the experiment was held in the ASHRAE standard conditions. The results demonstrated that the efficiency of the conical collector is increased by increasing the flow rate of the working fluid; in addition, the difference between inlet and outlet temperatures is decreased. The maximum recorded outlet-temperature of the collector during the experimental tests was 77.1 0 C and the maximum value of thermal efficiency was about 60%.
http://jhmtr.journals.semnan.ac.ir/article_477_bb4f7727aa9f7f7732ce68529b9e79d9.pdf
2016-04-01T11:23:20
2018-03-22T11:23:20
57
66
10.22075/jhmtr.2016.477
solar conical collector
symmetric collector
different flow rate
collector efficiency
experimental investigation
Aminreza
Noghrehabadi
noghrehabadi@scu.ac.ir
true
1
Shahid Chamran University of Ahvaz, Faculty of Engineering, Department of Mechanical Engineering
Shahid Chamran University of Ahvaz, Faculty of Engineering, Department of Mechanical Engineering
Shahid Chamran University of Ahvaz, Faculty of Engineering, Department of Mechanical Engineering
LEAD_AUTHOR
Ebrahim
Hajidavalloo
hajidae@scu.ac.ir
true
2
Shahid Chamran University of Ahvaz, Faculty of Engineering, Department of Mechanical Engineering
Shahid Chamran University of Ahvaz, Faculty of Engineering, Department of Mechanical Engineering
Shahid Chamran University of Ahvaz, Faculty of Engineering, Department of Mechanical Engineering
AUTHOR
Mojtaba
Moravej
moravej60@gmail.com
true
3
Azad Street . No#35 Behbahan, Iran
Azad Street . No#35 Behbahan, Iran
Azad Street . No#35 Behbahan, Iran
AUTHOR
[1]. M. Esen, H. Esen, “Experimental investigation of a two-phase closed thermo syphon solar water heater”, Solar Energy, 79 (2005) 459-468.
1
[2]. T. Yousefi, E. Shojaeizadeh, F. Veysi, S. Zinadini, “An experimental investigation on the effect of Al2O3-H2O nanofluid on the efficiency of flat plate solar collector”, Renewable Energy, 39 (2012) 293-298.
2
[3]. Z. Chen, S. Furbo, B. Perers, J. Fan, J., Andersen, “Efficiencies of flat plate solar collectors at different flow rates”, Energy Procedia, 30 (2012) 65-72.
3
[4]. S. Kalogirou, “Prediction of flat plate collector performance parameters using artificial neural networks”, Solar Energy, 80 (2006) 248-259.
4
[5]. S. Kalogirou, “Solar thermal collectors and applications”, Progress in energy and combustion science, 30 (2004) 231-295.
5
[6]. Y. Tian, C. Y. Zhao, “A review of solar collectors and thermal energy storage in solar thermal applications”, Applied Energy, 104 (2013) 538-553.
6
[7]. W.F. Bogaerts, C.M. Lampert, “Materials for photo thermal solar-energy conversion”, Journal of Materials Science, 18 (1983) 2847-2875.
7
[8]. Y. Tripanagnostopouios, M. Souliotis, T. Nousia, “Solar collectors with colored”, Solar Energy, 68 (2000) 343-5.
8
[9]. Z. Orel, M. Gunde, M. Hutchinc, “Spectrally selective solar absorbers in different Non-black colours”, Solar Energy Materials and Solar Cells, 85 (2005) 41-50.
9
[10]. D. J. Close, “Solar air heaters for low and moderate temperature applications”, Solar Energy, 7 (1963) 117-24.
10
[11]. B. Parker, M. Lindley, D. Colliver, W. Murphy, “Thermal performance of three solar air heaters”, Solar Energy, 51 (1993) 467-79.
11
[12]. R. Bertocchi, J. Karni, A. Kribus, ‘‘Experimental evaluation of a non-isothermal high temperature solar particle receiver’’, Energy, 29 (2004) 687-700.
12
[13]. M.S. Bohn, K.Y. Wang, “Experiments and analysis on the molten Salt direct absorption receiver concept”, Journal of solar energy engineering, 110 (1988) 45-51.
13
[14]. T. Fend, R. Pitz-paal, O. Reutter, J. Bauer, B. Hoffschmid, “Two novel high-porosity materials as volumetric receivers for concentrated solar radiation”, Solar Energy Materials and Solar Cells, 84 (2004) 291-304.
14
[15]. S.A. Zamzamian, M. KeyanpourRad, M. KianiNeyestani, M.T. Jamal-Abad, “An experimental study on the effect of Cu-synthesized/EG nanofluid on the efficiency of flat-plate solar collectors”, Renewable Energy, 71 (2014) 658-664.
15
[16]. M.T. Jamal-Abad, A. Zamzamian, E. Imani, M. Mansouri, “Experimental study of the performance of a flat-plate collector using Cu–water nanofluids”, Journal of Thermophysics and Heat Transfer, 27 (2013) 756-760.
16
[17]. H. Mousazaeh, “A review of principal and sun-tracking methods for maximizing solar systems output”, Renewable and sustainable energy reviews, 13 (2009) 1800-1818.
17
[18]. B. Samanta, K. R. AI Balushi., “Estimation of incident radiation on a novel spherical solar collector”, Renewable Energy, 14 (1998) 241-247.
18
[19]. I. Pelece, I. Ziemelis, U. Iljins, “Surface temperature distribution and energy gain from semi-spherical solar collector”, Proceeding of World Renewable Energy Congress, Linkoping, Sweden, (2011) 3913-3920.
19
[20]. N. Kumar, T. Chavda, H.N. Mistry, “A truncated pyramid non tracking type multipurpose solar cooker/hot water system”, Applied Energy, 87 (2010) 471-477.
20
[21]. I. Pelece, I. Ziemelis, ‘‘Water heating effectiveness of semi-spherical solar collector’’, Proceeding of the International Scientific Conference of Renewable Energy and Energy Efficiency, Jelgava, Latvia, 2012.
21
[22]. K. Goudarzi, S.K. Asadi Yousef-abad, E. Shojaeizadeh, A. Hajipour, “Experimental investigation of thermal performance in an advanced solar collector with spiral tube”, International Journal of Engineering-Transactions A: Basics, 27 (2013) 1149.
22
[23]. S.F. Ranjbar, M.H. Seyyedvalilu, “The effect of Geometrical parameters on heat transfer coefficient in helical double tube exchangers”, Journal of Heat and Mass Transfer Research (JHMTR), 1 (2014) 75-82.
23
[24]. A.M. Do Ango, M. Medale, C. Abid, “Optimization of the design of a polymer flat plate solar collector”, Solar Energy, 87 (2013) 64-75.
24
[25]. C. Cristofari, G. Notton, P. Poggi, A. Louche, “Modelling and performance of a copolymer solar water heating collector”, Solar Energy, 72 (2002) 99-112.
25
[26]. ASHRAE Standard 93-86, Methods of testing and determine the thermal performance of solar collectors, ASHRAE, Atlanta, 2003.
26
[27]. J.A. Duffie, W.A. Beckman, “Solar Engineering of Thermal Processes”, fourth ed., Wiley, New York, 2013.
27
[28]. D. Rojas, J. Beermann, S.A. Klein, D.T. Reindl, “Thermal performance testing of flat plate collectors”, Solar Energy, 82 (2008) 746-757.
28
[29]. F.M. White, ‘‘Fluid Mechanics’’, fifth ed., McGrow-Hill Book Company, Boston, 2003.
29
[30]. M. Kahani, S. Zeinali Heris, S. M. Mousavi, ‘‘Effects of curvature ratio and coil pitch spacing on heat transfer performance of Al2O3/water nanofluid laminar flow through helical coils’’, Journal of Dispersion Science and Technology, 34 (2013) 1704-1712.
30
[31]. M.A. Alim, Z. Abdin, R. Saidur, A. Hepbasli, M.A. Khairul, N.A. Rahim, “Analyses of entropy generation and pressure drop for a conventional flat plate solar collector using different types of metal oxide nanofluids”, Energy and Building, 66 (2013) 289-296.
31
[32]. R. B. Abernethy, R. P. Benedict, R. B. Dowdell, “ASME measurement uncertainty”, ASME paper,1983, 83-WA/FM-3.
32
[33]. J. Ma, W. Sun, J. Ji, Y. Zhang, A. Zhang, W. Fan, “Experimental and theoretical study of the efficiency of a dual-function solar collector”, Applied Thermal Engineering, 31 (2011) 1751-1756.
33
[34]. S.S. Meibodi, A. Kianifar, H. Niazmand, O. Mahian, S. Wongwises, “Experimental investigation on the thermal efficiency and performance characteristics of a flat plate solar collector using SiO 2/EG–water nanofluids”, International Communications in Heat and Mass Transfer, 65 (2015) 71-75.
34
[35]. H.K. Gupta, G.D. Agrawal, J. Mathur, “Investigation for effect of Al2O3-H2O nanofluid flow rate on the efficiency of direct absorption solar collector”, Solar Energy, 118 (2015) 390-396.
35
[36]. G.H. Ko, K. Heo, K. Lee, D.S. Kim, C. Kim, Y. Sohn, M. Choi, “An experimental study on the pressure drop of nanofluids containing carbon nanotubes in a horizontal tube”, International Journal of Heat and Mass Transfer, 50 (2007) 4749-4753.
36
ORIGINAL_ARTICLE
Thermal-Economic Optimization of Shell and Tube Heat Exchanger by using a new Multi-Objective optimization method
Many studies are performed by researchers about Shell and Tube Heat Exchanger but the Multi-Objective Big Bang-Big Crunch algorithm (MOBBA) technique has never been used in such studies. This paper presents application of Thermal-Economic Multi-Objective Optimization of Shell and Tube Heat Exchanger Using MOBBA. For optimal design of a shell and tube heat exchanger, it was first thermally modeled using e-NTU method while Bell-Delaware procedure was applied to estimate its shell side heat transfer coefficient and pressure drop. MOBBA method was applied to obtain the maximum effectiveness (heat recovery) and the minimum total cost as two objective functions. The results of optimal designs were a set of multiple optimum solutions, called ‘Pareto optimal solutions'. In order to show the accuracy of the algorithm, a comparison is made with the non-dominated sorting genetic algorithm (NSGA-II) and MOBBA which are developed for the same problem.
http://jhmtr.journals.semnan.ac.ir/article_421_e345330f12e7932c64bd4874365477a8.pdf
2016-04-01T11:23:20
2018-03-22T11:23:20
67
76
10.22075/jhmtr.2016.421
Shell and Tube Heat Exchanger
Multi-Objective Big Bang-Big Crunch algorithm (MOBBA)
Non-Dominated Sorting Genetic Algorithm (NSGA-II)
Effectiveness
Total cost
Mohammad Sadegh
Valipour
msvalipour@semnan.ac.ir
true
1
Faculty of Mechanical Engineering, Semnan University, P.O. Box 35131-19111, Semnan, Iran
Faculty of Mechanical Engineering, Semnan University, P.O. Box 35131-19111, Semnan, Iran
Faculty of Mechanical Engineering, Semnan University, P.O. Box 35131-19111, Semnan, Iran
AUTHOR
Mojtaba
Biglari
mbiglar@semnan.ac.ir
true
2
Faculty of Mechanical Engineering, Semnan University, P.O. Box 35131-19111, Semnan, Iran
Faculty of Mechanical Engineering, Semnan University, P.O. Box 35131-19111, Semnan, Iran
Faculty of Mechanical Engineering, Semnan University, P.O. Box 35131-19111, Semnan, Iran
AUTHOR
Ehsanolah
Assareh
ehsanolah.assareh@gmail.com
true
3
Faculty of Mechanical Engineering, Semnan University, P.O. Box 35131-19111, Semnan, Iran.
Faculty of Mechanical Engineering, Semnan University, P.O. Box 35131-19111, Semnan, Iran.
Faculty of Mechanical Engineering, Semnan University, P.O. Box 35131-19111, Semnan, Iran.
LEAD_AUTHOR
[1] G.F.Hewitt, editor. Heat exchanger design handbook. New York: Begell House; (1998).
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[2] R.K. Shah, Bell KJ. The CRC handbook of thermal engineering. CRC Press; (2000).
2
[3] V. Rao, V. Patel, Multi-objective optimization of heat exchangers using a modified teaching-learning-based optimization algorithm, Applied Mathematical Modeling, 37(3), 1147-1162, (2013).
3
[4] Min Zhao , Yanzhong Li,An effective layer pattern optimization model for multi-stream plate-fin heat exchanger using genetic algorithm, International Journal of Heat and Mass Transfer, 60, 480–489, (2013).
4
[5] Suxin Qian, Long Huang, Vikrant Aute, Yunho Hwang, ReinhardRadermacher, Applicability of entransy dissipation based thermal resistance for design optimization of two-phase heat exchangers. Applied Thermal Engineering, 55, (1), 140–148, (2013).
5
[6] KhaledSaleh, Omar Abdelaziz, Vikrant Aute, ReinhardRadermacher, ShapourAzarm, Approximation assisted optimization of headers for new generation of air-cooled heat exchangers. Applied Thermal Engineering, 61(2), 817–824, (2013).
6
[7] Amin Hadidi, Ali Nazari, Design and economic optimization of shell-and-tube heat exchangers using biogeography-based (BBO) algorithm. Applied Thermal Engineering, 51(1), 1263–1272, (2013).
7
[8] Salim Fettaka, Jules Thibault, Yash Gupta. Design of shell-and-tube heat exchangers using multiobjective optimization. International Journal of Heat and Mass Transfer, 60, 343–354, (2013).
8
[9] Bhargava Krishna Sreepathi, G.P. Rangaiah, Improved heat exchanger network retrofitting using exchanger reassignment strategies and multi-objective optimization. Energy Available online 24 February 2014 In Press, Corrected Proof.
9
[10] Viviani C. Onishi, Mauro A.S.S. Ravagnani, José A. Caballero, Mathematical programming model for heat exchanger design through optimization of partial objectives, Energy Conversion and Management, 74, 60–69, (2013)
10
[11] JiangfengGuo, XiulanHuai , Xunfeng Li, Jun Cai, Yongwei Wang. Multi-objective optimization of heat exchanger based on entransy dissipation theory in an irreversible Brayton cycle system. Energy, 63, 95–102, (2013).
11
[12] R. VenkataRao ,Vivek Patel, Multi-objective optimization of heat exchangers using a modified teaching-learning-based optimization algorithm. Applied Mathematical Modelling, 37(3), 1147–1162, (2013).
12
[13] Ming Pan, Igor Bulatov, Robin Smith, Jin-Kuk Kim, Optimisation for the retrofit of large scale heat exchanger networks with different intensified heat transfer techniques. Applied Thermal Engineering, 53( 2) , 373–386, (2013).
13
[14] Juan I. Manassaldi , Nicolás J. Scenna, Sergio F. Mussati, Optimization mathematical model for the detailed design of air cooled heat exchangers. Energy, 64, 734–746, (2014)
14
[15] Vivek Patel, Vimal Savsani, Optimization of a plate-fin heat exchanger design through an improved multi-objective teaching-learning based optimization (MO-ITLBO) algorithm. Chemical Engineering Research and Design, Available online 11 February 2014 In Press, Accepted Manuscript.
15
[16] L.H. Costa, M. Queiroz, Design optimization of shell-and-tube heat exchangers, Applied Thermal Engineering, 28, 1798-1805,(2008).
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[17] A. Caputo, P. Pelagagge, P. Salini, Heat exchanger design based on economic optimization, Applied Thermal Engineering, 28(10), 1151–1159, (2008).
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[18] M. Fesanghary, E. Damangir, I. Soleimani, Design optimization of shell and tube heat exchangers using global sensitivity analysis and harmony search algorithm, Applied Thermal Engineering, 29, 1026–1031, (2009).
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[19] R. Hilbert, G. Janiga, R. Baron, D.Venin, Multi-objective shape optimization of a heat exchanger using parallel genetic algorithms, International Journal of Heat and Mass Transfer,49(15–16), 2567–2577, (2006).
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[20] S. Sanaye, H. Hajabdollahi, Multi-objective optimization of shell and tube heat exchangers, Applied Thermal Engineering, 30(14–15), 1937–1945,(2010).
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[21] J. Ponce-Ortega, M. Serna-González, A. Jiménez-Gutiérrez, Use of genetic algorithms for the optimal design of shell-and-tube heat exchangers, Applied Thermal Engineering, 29(2–3), 203–209,(2009).
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[22] Jie Yang, Sun-Ryung Oh, Wei Liu,Optimization of shell-and-tube heat exchangers using a general design approach motivated by constructal theory.International Journal of Heat and Mass Transfer,Volume 77, October 2014, Pages 1144–1154.
22
[23] DaniëlWalraven, Ben Laenen, William D’haeseleer,Optimum configuration of shell-and-tube heat exchangers for the use in low-temperature organic Rankine cycles.Energy Conversion and Management. Volume 83, July 2014, Pages 177–187.
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[24] Jie Yang, Aiwu Fan, Wei Liu, Anthony M. Jacobi.Optimization of shell-and-tube heat exchangers conforming to TEMA standards with designs motivated by constructal theory.Energy Conversion and Management.Volume 78, February 2014, Pages 468–476.
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[25] Mohsen Amini, MajidBazargan.Two objective optimization in shell-and-tube heat exchangers using genetic algorithm.Applied Thermal Engineering.Volume 69, Issues 1–2, August 2014, Pages 278–285.
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