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

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...

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Main Authors: Muhammad Bilal, Samia Ashbar
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://link.springer.com/article/10.1186/s42787-020-00103-6
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author Muhammad Bilal
Samia Ashbar
author_facet Muhammad Bilal
Samia Ashbar
author_sort Muhammad Bilal
collection DOAJ
description 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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spelling doaj.art-a23e0072801f4dae9a65f75ec31b987e2022-12-22T01:36:05ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282020-08-0128111610.1186/s42787-020-00103-6Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convectionMuhammad Bilal0Samia Ashbar1Department of Mathematics and Statistics, The University of Lahore, Gujrat CampusDepartment of Mathematics and Statistics, The University of Lahore, Gujrat CampusAbstract 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.http://link.springer.com/article/10.1186/s42787-020-00103-6Heat transferThermal stratificationMixed convectionEyring-Powell fluidHeat generation
spellingShingle Muhammad Bilal
Samia Ashbar
Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection
Journal of the Egyptian Mathematical Society
Heat transfer
Thermal stratification
Mixed convection
Eyring-Powell fluid
Heat generation
title Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection
title_full Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection
title_fullStr Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection
title_full_unstemmed Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection
title_short Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection
title_sort flow and heat transfer analysis of eyring powell fluid over stratified sheet with mixed convection
topic Heat transfer
Thermal stratification
Mixed convection
Eyring-Powell fluid
Heat generation
url http://link.springer.com/article/10.1186/s42787-020-00103-6
work_keys_str_mv AT muhammadbilal flowandheattransferanalysisofeyringpowellfluidoverstratifiedsheetwithmixedconvection
AT samiaashbar flowandheattransferanalysisofeyringpowellfluidoverstratifiedsheetwithmixedconvection