Radnia, H., Solaimany Nazar, A. (2017). Temperature proﬁle of a power-law ﬂuid over a moving wall with arbitrary injection/suction and internal heat generation/absorption. Journal of Heat and Mass Transfer Research(JHMTR), 4(1), 53-64. doi: 10.22075/jhmtr.2017.519

Hamideh Radnia; Ali Reza Solaimany Nazar. "Temperature proﬁle of a power-law ﬂuid over a moving wall with arbitrary injection/suction and internal heat generation/absorption". Journal of Heat and Mass Transfer Research(JHMTR), 4, 1, 2017, 53-64. doi: 10.22075/jhmtr.2017.519

Radnia, H., Solaimany Nazar, A. (2017). 'Temperature proﬁle of a power-law ﬂuid over a moving wall with arbitrary injection/suction and internal heat generation/absorption', Journal of Heat and Mass Transfer Research(JHMTR), 4(1), pp. 53-64. doi: 10.22075/jhmtr.2017.519

Radnia, H., Solaimany Nazar, A. Temperature proﬁle of a power-law ﬂuid over a moving wall with arbitrary injection/suction and internal heat generation/absorption. Journal of Heat and Mass Transfer Research(JHMTR), 2017; 4(1): 53-64. doi: 10.22075/jhmtr.2017.519

Temperature proﬁle of a power-law ﬂuid over a moving wall with arbitrary injection/suction and internal heat generation/absorption

Receive Date: 15 April 2016,
Revise Date: 13 January 2017,
Accept Date: 14 January 2017

Abstract

The heat transfer for a non-Newtonian power-law fluid over a moving surface is investigated by applying a uniform suction/injection velocity proﬁle. The ﬂow is inﬂuenced by internal heat generation/absorption. The energy equation is solved at constant surface temperature condition. The Merk-Chao series is applied to obtain a set of ODEs instead of a complicated PDE. The converted ordinary differential equations are solved numerically, adopting the fourth order Runge–Kutta method coupled with the shooting technique. The effects of the fluid type, suction/injection and heat source/sink parameters on heat-transfer are discussed. It is observed that thermal boundary layers for pseudo plastic fluids are thicker than that of the dilatants. There exists a direct relation between dimensionless temperature and the injection parameter or the heat generation parameter rise. Injection of a ﬂuid to the surface generates more flow penetration into the fluid, which causes an increase in the thermal boundary layer and the temperature.

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