Copyrighted to Semnan University Press
Journal of Heat and Mass Transfer Research(JHMTR)
2345-508X
2383-3068
3
2
2016
10
01
Instabilities of Thin Viscous Liquid Film Flowing down a Uniformly Heated Inclined Plane
77
87
EN
Anandamoy
Mukhopadhyay
Vivekananda Mahavidyalaya, Burdwan, W.B., India.
ananda235@email.com
Sanghasri
Mukhopadhyay
South Asian University, Akbar Bhavan, Chanakyapuri, New Delhi-110021, India.
sanghasri@mail.com
Asim
Mukhopadhyay
Vivekananda Mahavidyalaya, Burdwan,West Bengal, India
as1m_m@yahoo.co.in
10.22075/jhmtr.2015.345
Instabilities of a thin viscous film flowing down a uniformly heated plane are investigated in this study. The heating generates a surface tension gradient that induces thermocapillary stresses on the free surface. Thus, the film is not only influenced by gravity and mean surface tension but also the thermocapillary force is acting on the free surface. Moreover, the heat transfer at the free surface plays a crucial role in the evolution of the film. The main objective of this study is to scrutinize the impact of Biot number Bi which describes heat transfer at the free surface on instability mechanism. Using the long wave expansion method, a generalized non-linear evolution equation of Benney type, including the above mentioned effects, is derived for the development of the free surface. A normal mode approach and the method of multiple scales are used to obtain the linear and weakly nonlinear stability solution for the film flow. The linear stability analysis of the evolution equation shows that the Biot number plays a double role; for Bi < 1 it gives destabilizing effect but for Bi > 1 it produces stabilization. At Bi = 1, the instability is maximum. The weakly nonlinear study reveals that the impact of Marangoni number Mr is very strong on the bifurcation scenario even for its slight variation. This behaviour of the Biot number is the consequence of the fact that the interfacialtemperature is held close to the plane temperature for Bi > 1, thus weakening the Marangoni eﬀect. The weakly nonlinearstudy reveals that the impact of Marangoni number Mr is very strong on the bifurcation scenario even for its slight variation.
Thin ﬁlm,Marangoni instability,Biot number
http://jhmtr.journals.semnan.ac.ir/article_345.html
http://jhmtr.journals.semnan.ac.ir/article_345_a2ad910ba873709bec799c2f994b4f59.pdf
Copyrighted to Semnan University Press
Journal of Heat and Mass Transfer Research(JHMTR)
2345-508X
2383-3068
3
2
2016
10
01
Numerical Study of Entropy Generation for Natural Convection in Cylindrical Cavities
89
99
EN
Abdollah
Rezvani
Enter affiliation
rezvani_61@yahoo.com
Mohammad Sadegh
Valipour
Faculty of mechanical engineering
msvalipour@semnan.ac.ir
Mojtaba
Biglari
Faculty of mechanical engineering
mbiglari@semnan.ac.ir
10.22075/jhmtr.2015.347
In this paper, an enhanced computational code was developed using finite-volume method for solving the incompressible natural convection flow within the cylindrical cavities. Grids were generated by an easy method with a view to computer program providing. An explicit integration algorithm was applied to find the steady state condition. Also instead of the conventional algorithms of SIMPLE, SIMPLEM and SIMPLEC, an artificial compressibility technique is applied for coupling the continuity to the momentum equations. The entropy generation, which is a representation of the irreversibility and efficiency loss in engineering heat transfer processes, has been analyzed in detail. The discretization of the diffusion terms were very simplified using the enhanced scheme similar to the flux averaging in the convective term. Additionally an analysis of the entropy generation in a cylindrical enclosure was performed. In order to show the validation of this study, the code was reproduced to solve similar problem of cited paper. Finally, the solutions were extended for the new cases.
Artificial compressibility,Entropy,Explicit finite-volume method,Natural convection,Nuselt number
http://jhmtr.journals.semnan.ac.ir/article_347.html
http://jhmtr.journals.semnan.ac.ir/article_347_b838405c650959af774c65fd8360cdf0.pdf
Copyrighted to Semnan University Press
Journal of Heat and Mass Transfer Research(JHMTR)
2345-508X
2383-3068
3
2
2016
10
01
Flow field and heat transfer in a channel with a permeable wall filled with Al2O3-Cu/water micropolar hybrid nanofluid, effects of chemical reaction and magnetic field
101
114
EN
Mahdi
Mollamahdi
University of kashan
mahdimollamahdi@gmail.com
Mahmoud
Abbaszadeh
university of kashan
abbaszadeh.mahmoud@gmail.com
Ghanbar Ali
Sheikhzadeh
University of kashan
sheikhz@kashanu.ac.ir
10.22075/jhmtr.2016.447
In this study, flow field and heat transfer of Al2O3-Cu/water micropolar hybrid nanofluid is investigated in a permeable channel using the least square method. The channel is encountered to chemical reaction, and a constant magnetic field is also applied. The bottom wall is hot and coolant fluid is injected into the channel from the top wall. The effects of different parameters such as the Reynolds number, the Hartmann number, microrotation factor and nanoparticles concentration on flow field and heat transfer are examined. The results show that with increasing the Hartmann number and the Reynolds number, the Nusselt and Sherwood numbers increase. Furthermore, when the hybrid nanofluid is applied rather than pure nanofluid, the heat transfer coefficient will increase significantly. It is also observed that in the case of generative chemical reaction, the fluid concentration is more than the case of destructive chemical reaction. Moreover, the Nusselt number and Sherwood number when the micropolar model is used, is less than when it is not considered.
Micropolar hybrid nanofluid,Magnetic field,Chemical reaction,Channel with a permeable wall,Least square method
http://jhmtr.journals.semnan.ac.ir/article_447.html
http://jhmtr.journals.semnan.ac.ir/article_447_e03c5697c1adcf4ec938f270ede758f3.pdf
Copyrighted to Semnan University Press
Journal of Heat and Mass Transfer Research(JHMTR)
2345-508X
2383-3068
3
2
2016
10
01
A Comparative Solution of Natural Convection in an Open Cavity using Different Boundary Conditions via Lattice Boltzmann Method
115
129
EN
Mohsen-Shahrood
Nazari
Mechanical Engineering Dept., Shahrood university
nazari_me@yahoo.com
MH
Kayhani
University of Shahrood
h_kayhani@shahroodut.ac.ir
10.22075/jhmtr.2016.363
A Lattice Boltzmann method is applied to demonstrate the comparison results of simulating natural convection in an open end cavity using different hydrodynamic and thermal boundary conditions. The Prandtl number in the present simulation is 0.71, Rayleigh numbers are 104,105 and 106 and viscosities are selected 0.02 and 0.05. On-Grid bounce-back method with first-order accuracy and non-slip method with second-order accuracy are employed for implementation of hydrodynamic boundary conditions. Moreover, two different thermal boundary conditions (with first and second order of accuracy) are also presented for thermal modelling. The results showed that first and second order boundary conditions (thermal/hydrodynamic) are the same for a two-dimensional, single phase, convective heat transfer problem including geometry with straight walls. The obtained results for different hydrodynamic and thermal boundary conditions are useful for the researchers in the field of lattice Boltzmann method in order to implement accurate condition on the boundaries, in different physics.
lattice Boltzmann method,open cavity,hydrodynamic/Thermal boundary conditions,order of accuracy
http://jhmtr.journals.semnan.ac.ir/article_363.html
http://jhmtr.journals.semnan.ac.ir/article_363_45df0d64050eae976a1bfe44dba77d5c.pdf
Copyrighted to Semnan University Press
Journal of Heat and Mass Transfer Research(JHMTR)
2345-508X
2383-3068
3
2
2016
10
01
Development of a phase change model for volume-of-fluid method in OpenFOAM
131
143
EN
Mohammad
Bahreini
Faculty of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
m.bahreini1990@gmail.com
Abbas
Ramiar
Faculty of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
aramiar@nit.ac.ir
Ali Akbar
Ranjbar
Faculty of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
ranjbar@nit.ac.ir
10.22075/jhmtr.2016.467
In this present study, volume of fluid method in OpenFOAM open source CFD package will be extended to consider phase change phenomena with modified model due to condensation and boiling processes. This model is suitable for the case in which both unsaturated phase and saturated phase are present and for beginning boiling and condensation process needn't initial interface. Both phases (liquid-vapor) are incompressible and immiscible. Interface between two phases is tracked with color function volume of fluid (CF-VOF) method. Surface Tension is taken into consideration by Continuous Surface Force (CSF) model. Pressure-Velocity coupling will be solved with PISO algorithm in the collocated grid. The accuracy of this phase-change model is verified by two evaporation problems (a one-dimensional Stefan problem and a two-dimensional film boiling problem) and two condensation problem (a one-dimensional Stefan problem and Filmwise condensation). The simulation results of this model show good agreement with the classical analytical or numerical results, proving its accuracy and feasibility.
Phase change model,Volume-of-fluid,Boiling,Condensation,OpenFOAM
http://jhmtr.journals.semnan.ac.ir/article_467.html
http://jhmtr.journals.semnan.ac.ir/article_467_ca58231ab595fe0109fcded9075bdaa4.pdf
Copyrighted to Semnan University Press
Journal of Heat and Mass Transfer Research(JHMTR)
2345-508X
2383-3068
3
2
2016
10
01
A study of a Stefan problem governed with space–time fractional derivatives
145
151
EN
Rajeev
.
Indian Institute of Technology(BHU)
rajeev.apm@itbhu.ac.in
M.
S.
Kushwaha
IIT (BHU), Varanasi
kushwahamohansingh76@gmail.com
Abhishek
Kumar
Singh
IIT (BHU), VARANASI
aksingh.iitbhu@gmail.com
10.22075/jhmtr.2016.384
This paper presents a fractional mathematical model of a one-dimensional phase-change problem (Stefan problem) with a variable latent-heat (a power function of position). This model includes space–time fractional derivatives in the Caputo sense and time-dependent surface-heat flux. An approximate solution of this model is obtained by using the optimal homotopy asymptotic method to find the solutions of temperature distribution in the domain 0 ≤x≤s(t) and interface’s tracking or location. The results thus obtained are compared with existing exact solutions for the case of the integer order derivative at some particular values of the governing parameters. The dependency of movement of the interface on certain parameters is also studied.
Optimal homotopy asymptotic method,Stefan problem,moving interface,fractional derivatives
http://jhmtr.journals.semnan.ac.ir/article_384.html
http://jhmtr.journals.semnan.ac.ir/article_384_b95d483f4316662b9bc21735e9582622.pdf
Copyrighted to Semnan University Press
Journal of Heat and Mass Transfer Research(JHMTR)
2345-508X
2383-3068
3
2
2016
10
01
Analytical and Numerical Studies on Hydromagnetic Flow of Boungiorno Model Nanofluid over a Vertical Plate
153
164
EN
A.K. Abdul
Hakeem
Assistant Professor
Department of Mathematics
Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamil Nadu
abdulhakeem6@gmail.com
B.
Ganga
Department of Mathematics,Providence College for Women, Coonoor - 643 104, INDIA
gangabhose@gmail.com
S. Mohamed
Yusuff Ansari
Department of Mathematics, Jamal Mohamed College, Trichy - 6420 020, INDIA
yusuffsaitu@yahoo.in
N.Vishnu
Ganesh
of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts & Science, Coimbatore - 641 020, INDIA.
nvishnuganeshmath@gmail.com
10.22075/jhmtr.2016.362
MHD boundary layer flow of two phase model nanofluid over a vertical plate is investigated both analytically and numerically. A system of governing nonlinear partial differential equations is converted into a set of nonlinear ordinary differential equations by suitable similarity transformations and then solved analytically using homotopy analysis method and numerically by the fourth order Runge-Kutta method along with shooting iteration technique. The effects of magnetic parameter, Prandtl number, Lewis number, buoyancy-ratio parameter, Brownian motion parameter and thermophoresis parameter on the velocity profile, temperature profile and concentration profile of the nanofluid are discussed graphically. The values of reduced local Nusselt number and reduced local sherwood number are tabulated and discussed. It is noted that the Brownian motion and thermophoresis parameters enhance the velocity distribution and the temperature distribution, but it suppress the concentration distribution. Furthermore, comparisons have been made with bench mark solutions for a special case and obtained a very good agreement..
Homotopy Analysis Method,MHD,Nanofluid,Runge-Kutta method,Vertical plate
http://jhmtr.journals.semnan.ac.ir/article_362.html
http://jhmtr.journals.semnan.ac.ir/article_362_007c90f492d49e570d06968a5e09a8d9.pdf