Title: Entropy generation minimisation in a moving porous pipe under magnetic field effect

Authors: Saima Ijaz; Muhammad Mushtaq; Sufian Munawar; Najma Saleem

Addresses: Department of Mathematics, University of Engineering and Technology, Lahore 54000, Pakistan ' Department of Mathematics, University of Engineering and Technology, Lahore 54000, Pakistan ' Department of Quantitative Methods, College of Business Administration, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 34212, Saudi Arabia ' Core Curriculum, College of Sciences and Human Studies, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

Abstract: The second-law aspect of an electrically conducting thermal boundary-layer flow inside a permeable pipe moving along its axis under Joule heating effect is considered here. The governing equations are normalised by suitable similarity transformations and solved analytically. An expression for average entropy number is obtained by integrating entropy number over the entire fluid volume for various cross-sections. Graphical illustrations of spatial distributions of total and average entropy of the system, the Bejan number, isotherms and heat transfer rate are imparted against different parameters of interest. The ranges of variables are reported for which entropy production is minimum. It is shown that the pipe moving with small Reynolds number needs small injection velocity to minimise entropy production in the system.

Keywords: viscous flow; permeable pipe; EGM; entropy generation minimisation; joule heating.

DOI: 10.1504/IJEX.2018.093187

International Journal of Exergy, 2018 Vol.26 No.4, pp.418 - 434

Received: 05 Aug 2017
Accepted: 27 Jan 2018
Published online: 13 Jul 2018 *

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