Effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source

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Abel, M.S. and Siddheshwar, P.G. and Mahesha, N. (2009) Effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source. International Journal of Non-Linear Mechanics, 44 (1). pp. 1-12. ISSN 00207462

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Effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source.pdf

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Official URL: https://doi.org/10.1016/j.ijnonlinmec.2008.08.002

Abstract

The paper considers the flow of a power-law fluid past a vertical stretching sheet. Effects of variable thermal conductivity and non-uniform heat source/sink on the heat transfer are addressed. The thermal conductivity is assumed to vary linearly with temperature. Similarity transformation is used to convert the governing partial differential equations into a set of coupled, non-linear ordinary differential equations. Two different types of boundary heating are considered, namely Prescribed power-law Surface Temperature (PST) and Prescribed power-law Heat Flux (PHF). Shooting method is used to obtain the numerical solution for the resulting boundary value problems. The effects of Chandrasekhar number, Grashof number, Prandtl number, non-uniform heat source/sink parameters, wall temperature parameter and variable thermal conductivity parameter on the dynamics are shown graphically in several plots. The skin friction and heat transfer coefficients are tabulated for a range of values of the parameters. Present study reveals that in a gravity affected flow buoyancy effect has a significant say in the control of flow and heat transfer. © 2008 Elsevier Ltd. All rights reserved.

Item Type: Article
Additional Information: cited By 35
Uncontrolled Keywords: Boundary value problems; Buoyancy; Differential equations; Friction; Grashof number; Heat exchangers; Heat transfer; Heating equipment; Initial value problems; Linear equations; Ordinary differential equations; Paper sheeting; Prandtl number; Thermal conductivity; Thermal insulating materials; Thermoanalysis; Thermodynamic properties; Thermoelectricity, Boundary heating; Boundary values; Buoyancy effects; Flow and heat transfers; Linear ordinary differential equations; MHD flows; Non uniforms; Non-uniform heat source; Numerical solutions; Power-law fluid; Shooting methods; Similarity transformations; Stretching sheet; Surface temperatures; Variable thermal conductivity; Vertical stretching sheets; Wall temperatures, Thermal conductivity of liquids
Subjects: Faculty of Science > Pure Sciences > Mathematics
Divisions: Jnana Bharathi / Central College Campus > Department of Mathematics
Depositing User: Mr. Kirana Kumar D
Date Deposited: 14 Mar 2016 05:57
Last Modified: 14 Mar 2016 05:57
URI: http://eprints-bangaloreuniversity.in/id/eprint/2025

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