Validation of the Thermal Equilibrium Assumption in Periodic Natural Convection in Porous Domains |
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Authors: | A. F. Khadrawi M. S. Tahat M. A. Al-Nimr |
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Affiliation: | (1) Mechanical Engineering Department, Al-Balqa’ Applied University, Al-Salt, Jordan;(2) Mechanical Engineering Department, Jordan University of Science and Technology, P. O. Box 3030, Irbid, 22110, Jordan |
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Abstract: | The validity of the local thermal equilibrium assumption in the periodic free convection channel flow is investigated analytically.
Two cases are considered where in the first case transverse conduction in the solid domain is included while in the second
case transverse conduction in the fluid domain is included. The periodic disturbance in the free convection flow is due to
a periodic thermal disturbance imposed on the channel walls. The Darcy–Brinkman model is used to model the flow inside the
porous domain. It is found that four dimensionless parameters control the local thermal equilibrium assumption in the first
case and five parameters control the local equilibrium assumption in the second case. The criteria that secure the validity
of the local thermal equilibrium assumption are derived. |
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Keywords: | Darcy– Brinkman model periodic natural convection porous domain thermal equilibrium assumption validation criteria |
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