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research-article

Coupling effects of viscous sheet and ambient fluid on boundary layer flow and heat transfer in power-law fluids

[+] Author and Article Information
Xiaochuan Liu

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
liuxiaochuan0126@163.com

Liancun Zheng

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
liancunzheng@163.com

Goong Chen

Department of Mathematics and Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA
gchen@math.tamu.edu

Lianxi Ma

Department of Physics, Blinn College, Bryan, Texas 77805, USA
malianxi@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4042774 History: Received January 27, 2018; Revised January 26, 2019

Abstract

This paper investigates the flow and heat transfer of power-law fluids over a stretching sheet where the coupling dynamics influence of viscous sheet and ambient fluid are taken into account via the stress balance. A modified Fourier's law is introduced where the thermal conductivity is assumed to be shear-dependent on the velocity gradient. The conditions for both velocity and thermal boundary layers admitting similarity solutions are found, and numerical solutions are computed by a Bvp4c program. Results show that the viscous sheet and rheological properties of ambient fluids have significantly influences on both velocity and temperature fields characteristics. The formation of sheet varies with the viscosity of fluid and draw ratio, which then strongly affects the relations of the local skin friction coefficient, the local Nusselt number and the generalized Reynolds number. Moreover, for specified parameters, the flow and heat transfer behaviors are discussed in detail.

Copyright (c) 2019 by ASME
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