Title: An analysis approach for entropy generation in bounded solids subject to sudden heat flux

Authors: Mehmet Sunar; Amin A.M. Fadlalla; Guven Yucesan; Orcun Bicer

Addresses: Mechanical Engineering Department, Ankara Yildirim Beyazit University, Ankara 06010, Turkey ' Mechatronics Engineering Department, Mashreq University, Khartoum North 14419, Sudan ' Technology Development Manager, TrMotor, 06800 Cankaya/Ankara, Turkey ' Mechanical Engineering Department, Ankara Yildirim Beyazit University, Ankara 06010, Turkey

Abstract: This work addresses the problem of entropy generation rate due to conduction for a one-dimensional bounded solid onto which a sudden heat flux is applied from one of its surfaces and the other surface is insulated. A theoretical procedure is presented using the infinite series to solve for temperature distribution with different forms of the applied heat flux. The considered cases include, but not limited to, constant, ramp and sinusoidal types of heat fluxes. The theoretical temperature results are found to be closely matching with those available in literature for one case and with those obtained by the finite element approach for all the cases. Entropy generation rate due to thermal field is presented in all the three cases with the conclusion that an energy balance is attained at some depth below the surface.

Keywords: bounded solid; conduction; heat flux; entropy generation rate; EGR; theoretical; finite element method; FEM.

DOI: 10.1504/IJEX.2022.122078

International Journal of Exergy, 2022 Vol.37 No.4, pp.412 - 427

Received: 10 May 2021
Accepted: 28 Jun 2021
Published online: 08 Apr 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article