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传热学

DOI: 10.1615/HeatTransRes.2016008318
pages 9-22

FREE CONVECTION IN NON-NEWTONIAN POWER-LAW FLUIDS ALONG A VERTICAL PLATE WITH VARIABLE VISCOSITY AND THERMAL STRATIFICATION IN THE PRESENCE OF INTERNAL HEAT GENERATION

M. B. K. Moorthy
Department of Mathematics, Institute of Road and Transport Technology, Erode − 638316, Tamil Nadu, India
Kannan Thangavelu
SASTRA University
K. Senthilvadivu
Department of Mathematics, K. S. Rangasamy College of Technology, T. Gode − 637215, Tamil Nadu, India

ABSTRACT

An investigation has been carried out to discuss the effects of variable viscosity and thermal stratification in the presence of internal heat generation on free convection flow along a nonisothermal vertical plate. The plate is semi-infinite and embedded in a porous medium which is saturated with a non-Newtonian power-law fluid. The governing equations of continuity, momentum, and energy are transformed into nonlinear ordinary differential equations using similarity transformations. The Runge−Kutta−Gill method and shooting technique are employed to solve the resulting equations. For the nonisothermal plate, the heat transfer rate increases as θc → 0 for liquids, whereas it decreases for gases as θc → 0 due to the thermal stratification in the presence of internal heat generation. The velocity decreases near the plate and increases away from the plate as θc → 0 for gases. In the case of liquids, the result is reversed. The obtained results are depicted graphically for different parameters involved.


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