Unsteady conjugate natural convective heat transfer and entropy generation in a porous semicircular cavity

[+] Author and Article Information
Dr. Ali J. Chamkha

Mechanical Engineering Department, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates

Igor Miroshnichenko

Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634050 Tomsk, Russia

Mikhail A. Sheremet

Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634050 Tomsk, Russia; Department of Nuclear and Thermal Power Plants, Tomsk Polytechnic University, 634050 Tomsk, Russia

1Corresponding author.

ASME doi:10.1115/1.4038842 History: Received August 12, 2016; Revised December 04, 2017


The problem of unsteady conjugate natural convection and entropy generation within a semi-circular porous cavity bounded by solid wall of finite thickness and conductivity has been investigated numerically. The governing partial differential equations with the corresponding initial and boundary conditions have been solved by the finite difference method using the dimensionless stream function, vorticity and temperature formulation. Numerical results for the isolines of the stream function, temperature, and the local entropy generation due to heat transfer and fluid friction as well as the average Nusselt and Bejan numbers, and the average total entropy generation and fluid flow rate have been analyzed for different values of the Rayleigh number, Darcy number, thermal conductivity ratio and the dimensionless time.

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