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research-article

Entropy Generation Analysis in Nonlinear Convection Flow of Thermally Stratified Fluid in Saturated Porous Medium with Convective Boundary Condition

[+] Author and Article Information
B Vasu

Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211004, India
bvsmaths@gmail.com

Chetteti RamReddy

Department of Mathematics, National Institute of Technology, Warangal-506004, India
chittetiram@gmail.com

P V S N Murthy

Department of Mathematics, Indian Institute of Technology, Kharagpur-721302, India
pvsnm@maths.iitkgp.ernet.in

Rama Gorla

Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA
r.gorla@yahoo.com

1Corresponding author.

ASME doi:10.1115/1.4036332 History: Received August 06, 2016; Revised March 02, 2017

Abstract

This article emphasizes the significance of entropy generation analysis and non-linear temperature density relation on thermally stratified viscous fluid flow over a vertical plate embedded in a porous medium with thermal dispersion effect. In addition, the convective surface boundary condition is taken into an account. By using the suitable transformations the governing flow equations in dimensional form are converted into set of non-dimensional partial differential equations. Then the local similarity and non-similarity procedure is applied to transform the set of non-dimensional partial differential equations into set of ordinary differential equations and then the resulting system of equations are solved by Chebyshev spectral collocation method along with the successive linearization. The effect of pertinent parameters namely, Biot number, mixed convection parameter and thermal dispersion on velocity, temperature, entropy generation rate and heat transfer rate are displayed graphically and the salient features are explored in detail.

Copyright (c) 2017 by ASME
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