Effect of Time Periodic Boundary Conditions on Convective Flows in a Porous Square Enclosure with Non-Uniform Internal Heating |
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Authors: | H Saleh I Hashim N Saeid |
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Institution: | (1) Department of Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh;(2) Department of Mechanical Engineering, University of Bath, Bath, BA2 7AY, UK |
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Abstract: | The problem of unsteady natural convection in a square region filled with a fluid-saturated porous medium having non-uniform
internal heating and heated laterally is considered. The heated wall surface temperature varies sinusoidally with the time
about fixed mean temperature. The opposite cold wall is maintained at a constant temperature. The top and bottom horizontal
walls are kept adiabatic. The flow field is modelled with the Darcy model and is solved numerically using a finite difference
method. The transient solutions obtained are all periodic in time. The effect of Rayleigh number, internal heating parameters,
heating amplitude and oscillating frequency on the flow and temperature field as well as the total heat generated within the
convective region are presented. It was found that strong internal heating can generate significant maximum fluid temperatures
above the heated wall. The location of the maximum fluid temperature moves with time according to the periodically changing
heated wall temperature. The augmentation of the space-averaged temperature in the cavity strongly depends on the heating
amplitude and rather insensitive to the oscillating frequency. |
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Keywords: | |
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