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Research Papers: Forced Convection

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,
Allahabad 211004, India

Ch. RamReddy

Department of Mathematics,
National Institute of Technology Warangal,
Warangal 506004, India

P. V. S. N. Murthy

Department of Mathematics,
Indian Institute of Technology Kharagpur,
Kharagpur 721302, India

Rama Subba Reddy Gorla

Department of Mechanical and Civil Engineering,
Purdue University Northwest,
Westville, IN 46391
e-mail: rgorla@pnw.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 6, 2016; final manuscript received March 2, 2017; published online May 2, 2017. Assoc. Editor: Peter Vadasz.

J. Heat Transfer 139(9), 091701 (May 02, 2017) (10 pages) Paper No: HT-16-1492; doi: 10.1115/1.4036332 History: Received August 06, 2016; Revised March 02, 2017

This article emphasizes the significance of entropy generation analysis and nonlinear temperature density relation on thermally stratified viscous fluid flow over a vertical plate embedded in a porous medium with a 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 nondimensional partial differential equations. Then the local similarity and nonsimilarity procedures are applied to transform the set of nondimensional 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.

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Figures

Grahic Jump Location
Fig. 1

(a) Schematic diagram and coordinate geometry and (b) entropy generation analysis for an infinitesimal element dxdy in convective heat transfer. (Reproduced with permission from Murthy [3]. Copyright 2000 by ASME.)

Grahic Jump Location
Fig. 2

Effect of the Biot number on (a) velocity, (b) temperature, (c) entropy generation against stratification parameter ξ, (d) heat transfer rate against stratification parameter ξ, (e) entropy generation rate against thermal dispersion parameter Peγ, (f) heat transfer rate against thermal dispersion parameter Peγ, (g) entropy generation rate against mixed convection parameter λ, and (h) heat transfer rate against mixed convection parameter λ

Grahic Jump Location
Fig. 3

Effect of nonlinear convection parameter on (a) velocity, (b) temperature, (c) entropy generation against ξ, (d) heat transfer rate against ξ, (e) entropy generation rate against Peγ, (f) heat transfer rate against Peγ, (g) entropy generation rate against λ, and (h) heat transfer rate against λ

Grahic Jump Location
Fig. 4

Effect of thermal dispersion parameter on (a) velocity, (b) temperature, (c) entropy generation against ξ, (d) heat transfer rate against ξ, (e) entropy generation rate against λ, and (f) heat transfer rate against λ

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