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Research Papers: Heat and Mass Transfer

Entropy Generation Due to Heat and Mass Transfer in a Flow of Dissipative Elastic Fluid Through a Porous Medium

[+] Author and Article Information
M. I. Afridi

Department of Mathematics,
COMSATS University Islamabad (CUI),
Park Road, Tarlai Kalan,
Islamabad 455000, Pakistan

M. Qasim

Department of Mathematics,
COMSATS University Islamabad (CUI),
Park Road, Tarlai Kalan,
Islamabad 455000, Pakistan

O. D. Makinde

Faculty of Military Science,
Stellenbosch University,
Private Bag X2,
Saldanha 7395, South Africa

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 13, 2018; final manuscript received October 31, 2018; published online December 13, 2018. Assoc. Editor: Guihua Tang.

J. Heat Transfer 141(2), 022002 (Dec 13, 2018) (9 pages) Paper No: HT-18-1087; doi: 10.1115/1.4041951 History: Received February 13, 2018; Revised October 31, 2018

This study examines the effects of viscous and porous dissipation on entropy generation in the viscoelastic fluid flow induced by a linearly stretching surface. Analysis of mass transfer is also performed. Consideration of rheological characteristics of viscoelastic fluid in the energy conservation law and entropy generation number in terms of viscous dissipation makes a striking difference in the energy equation and entropy generation number for Newtonian and viscoelastic fluid. This important concern which is yet not properly attended is also be examined in the present study. The dimensional governing equations are reduced to a set of self-similar differential equations. The energy and concentration equations are solved exactly by employing the Laplace transform technique. The obtained exact solutions of reduced set of governing equations are utilized to compute the entropy generation number. To analyze the impacts of flow parameter on velocity profile, temperature distribution, concentration profile, and entropy generation number inside the boundary layer, graphs are plotted and discussed physically. The permeability and viscoelastic parameters have strong influence on the entropy generation in the vicinity of stretching surface.

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Figures

Grahic Jump Location
Fig. 1

Physical flow model and coordinate system

Grahic Jump Location
Fig. 6

(a) Effects of Sc on ϕ(ξ) and (b) effects of Sc on Ns

Grahic Jump Location
Fig. 7

(a) Effects of ΛT on Ns and (b) effects of ΛC on Ns

Grahic Jump Location
Fig. 2

(a) Effects of Vp on f′(ξ), (b) effects of Vp on θ(ξ), (c) effects of Vp on ϕ(ξ), and (d) effects of Vp on Ns

Grahic Jump Location
Fig. 3

(a) Effects of Ec on θ(ξ) and (b) effects of Ec on Ns

Grahic Jump Location
Fig. 4

(a) Effects of K on f′(ξ), (b) effects of K on θ(ξ), (c) effects of K on ϕ(ξ), and (d) effects of K on Ns

Grahic Jump Location
Fig. 5

(a) Effects of Pr on θ(ξ) and (b) effects of Pr on Ns

Tables

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