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Flow and heat transfer of non-Newtonian power-law fluids over a stretching surface with variable thermal conductivity

Flow and heat transfer of non-Newtonian power-law fluids over a stretching surface with variable... The purpose of this paper is to investigate the flow and heat transfer of power-law fluids over a non-linearly stretching sheet with non-Newtonian power-law stretching features.Design/methodology/approachThe governing non-linear partial differential equations are reduced to a series of ordinary differential equations by suitable similarity transformations and the numerical solutions are obtained by the shooting method.FindingsAs the temperature power-law index or the power-law number of the fluids increases, the dimensionless stream function, dimensionless velocity and dimensionless temperature decrease, while the velocity boundary layer and temperature boundary layer become thinner for other fixed physical parameters. The thermal diffusivity varying as a function of the temperature gradient can be used to present the characteristics of flow and heat transfer of non-Newtonian power-law fluids.Originality/valueUnlike classical works, the effect of power-law viscosity on the temperature field is considered by assuming that the temperature field is similar to the velocity field with modified Fourier’s law heat conduction for power-law fluid media. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Multidiscipline Modeling in Materials and Structures Emerald Publishing

Flow and heat transfer of non-Newtonian power-law fluids over a stretching surface with variable thermal conductivity

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References (45)

Publisher
Emerald Publishing
Copyright
© Emerald Publishing Limited
ISSN
1573-6105
DOI
10.1108/mmms-08-2018-0147
Publisher site
See Article on Publisher Site

Abstract

The purpose of this paper is to investigate the flow and heat transfer of power-law fluids over a non-linearly stretching sheet with non-Newtonian power-law stretching features.Design/methodology/approachThe governing non-linear partial differential equations are reduced to a series of ordinary differential equations by suitable similarity transformations and the numerical solutions are obtained by the shooting method.FindingsAs the temperature power-law index or the power-law number of the fluids increases, the dimensionless stream function, dimensionless velocity and dimensionless temperature decrease, while the velocity boundary layer and temperature boundary layer become thinner for other fixed physical parameters. The thermal diffusivity varying as a function of the temperature gradient can be used to present the characteristics of flow and heat transfer of non-Newtonian power-law fluids.Originality/valueUnlike classical works, the effect of power-law viscosity on the temperature field is considered by assuming that the temperature field is similar to the velocity field with modified Fourier’s law heat conduction for power-law fluid media.

Journal

Multidiscipline Modeling in Materials and Structures – Emerald Publishing

Published: Jun 14, 2019

Keywords: Non-Newtonian fluid; Power-law fluid; Stretching surface; Variable thermal conductivity; Numerical solution; Heat transfer

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