Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection

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Department of Mathematics and Statistics, The University of Lahore, Gujrat Campus, Gujrat, Pakistan

https://doi.org/10.1186/s42787-020-00103-6

Abstract

This article presents the study of heat transfer under the influence of mixed convective
flow of Eyring-Powell fluid over a stratified stretching sheet. The impact of heat
generation/absorption is also discussed. The fluid is considered to be a viscous,
incompressible, two dimensional, and laminar. Transformation, based on the similarity
variables, is used for the alteration of modeled governing partial differential equations
(PDEs) into ordinary differential equations (ODEs). The shooting approach is introduced
to accomplish the mathematical solution of governing equations. Runge-Kutta method
of order four is used for the integration purpose and Newton’s method helps to refine
initial guesses. All the programming is done on MATLAB. The effects of emerging
parameters on temperature and velocity profiles are discussed through graphs. The
related physical properties of flow, i.e., the skin friction coefficient and Nusselt number
are described graphically for various parameters. Numerical values for the Nusselt
number and skin friction coefficient are tabulated for the various parameters. It is noted
that increment in thermal stratification parameter yields fall in both velocity and
temperature of fluid and a reverse relation is observed for the heat generation
parameter.

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