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Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection
Journal of the Egyptian Mathematical Society Pub Date : 2020-08-12 , DOI: 10.1186/s42787-020-00103-6
Muhammad Bilal , Samia Ashbar

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.

中文翻译:

Eyring-Powell流体在混合对流分层片上的流动和传热分析

本文介绍了在 Eyring-Powell 流体在分层拉伸片上的混合对流影响下的传热研究。还讨论了热量产生/吸收的影响。流体被认为是粘性的、不可压缩的、二维的和层流的。基于相似性变量的变换用于将建模的控制偏微分方程 (PDE) 更改为常微分方程 (ODE)。引入射击方法来完成控制方程的数学求解。四阶 Runge-Kutta 方法用于积分目的,Newton 方法有助于改进初始猜测。所有的编程都是在MATLAB上完成的。通过图表讨论了新出现的参数对温度和速度剖面的影响。流动的相关物理特性,即表皮摩擦系数和努塞尔数以图形方式描述各种参数。Nusselt 数和皮肤摩擦系数的数值列于各种参数的表格中。值得注意的是,热分层参数产率的增加在流体的速度和温度上都下降,并且对于发热参数观察到相反的关系。
更新日期:2020-08-12
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