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Journal of Porous Media
EFFECTS OF INTERNAL HEAT GENERATION AND PARTIAL HEATING ON TRANSIENT NATURAL CONVECTION IN AN INCLINED POROUS CAVITY USING LTNE MODEL
Ammar I. Alsabery
Refrigeration and Air-Conditioning Technical Engineering Department, College of Technical
Engineering, The Islamic University, Najaf, Iraq;
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti
Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn
Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia
J. H. Al-Smail
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals,
P.O. Box 5046, Dhahran 31261, Saudi Arabia
School of Mathematical Sciences & Solar Energy Research Institute, Faculty of Science
& Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi, Selangor DE, Malaysia
The aim of the present study is to analyze the effects of internal heat generation and partial heating on transient natural convection in an inclined porous cavity using a local thermal non-equilibrium (LTNE) model. An isothermal heater is placed on the bottom horizontal wall with length d, while the remainder of the wall is adiabatic. The left and right vertical walls are maintained at constant cold temperature Tc and the top horizontal wall is adiabatic. The Darcy law is used along with the Boussinesq approximation for the flow. The dimensionless governing equations subject to the selective boundary conditions are solved numerically using the finite difference method. The governing parameters of this study are the Darcy-Rayleigh number, heat source length, cavity inclination angle, heat generation parameter, modified conductivity ratio, and dimensionless time. The developed computational code is validated comprehensively using the grid independency test and numerical and experimental data of other studies. The obtained results reveal that the nonequilibrium effects are very strong at the cold walls and at the center of the cavity. In addition, increasing the inclination angle has the effect of reducing the heat transfer rate.
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