Technical Brief

Effects of Energy Dissipation and Variable Thermal Conductivity on Entropy Generation Rate in Mixed Convection Flow

[+] Author and Article Information
Muhammad Qasim

Department of Mathematics,
COMSATS Institute of Information Technology,
Park Road, Chak Shahzad,
Islamabad 44000, Pakistan
e-mail: mq_qau@yahoo.com

Muhammad Idrees Afridi

Department of Mathematics,
COMSATS Institute of Information Technology,
Park Road, Chak Shahzad,
Islamabad 44000, Pakistan

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received April 25, 2017; final manuscript received October 30, 2017; published online March 30, 2018. Assoc. Editor: Wei Li.

J. Thermal Sci. Eng. Appl 10(4), 044501 (Mar 30, 2018) (6 pages) Paper No: TSEA-17-1133; doi: 10.1115/1.4038703 History: Received April 25, 2017; Revised October 30, 2017

Analysis of entropy generation in mixed convection flow over a vertically stretching sheet has been carried out in the presence of variable thermal conductivity and energy dissipation. Governing equations are reduced to self-similar ordinary differential equations via similarity transformations and are solved numerically by applying shooting and fourth-order Runge–Kutta techniques. The expressions for entropy generation number and Bejan number are also obtained by using similarity transformations. The influence of embedding physical parameters on quantities of interest is discussed through graphical illustrations. The results reveal that entropy generation number increases significantly in the vicinity of stretching surface and gradually dies out as one move away from the sheet. Also, the entropy generation number decreases with an increase in temperature difference parameter. Moreover, entropy generation number enhances with an enhancement in the Eckert number, Prandtl number, and variable thermal conductivity parameter.

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Grahic Jump Location
Fig. 1

Physical flow model and coordinate system

Grahic Jump Location
Fig. 2

(a) Variation of Ns with λ and (b) variation of Be with λ

Grahic Jump Location
Fig. 3

(a) Variation of Ns with ε and (b) variation of Be with ε

Grahic Jump Location
Fig. 4

(a) Variation of Ns with Pr and (b) variation of Be with Pr

Grahic Jump Location
Fig. 5

(a) Variation of Ns with Ec and (b) variation of Be with Ec

Grahic Jump Location
Fig. 6

(a) Variation of Ns with Λ and (b) variation of Be with Λ



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