Experimental Study on Oscillatory Natural Convection in a Hele-Shaw Cell due to Unstably Heated Side |
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| Authors: | A H Abdelkareem S Kimura T Kiwata N Komatsu |
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| Institution: | (1) Department of Mechanical Power Engineering, El-Minia University, El-Minia, Egypt;(2) Department of Mechanical Systems Engineering, Kanazawa University, Kanazawa, Japan |
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| Abstract: | The oscillatory motion of natural convection in a porous medium has been investigated experimentally using a Hele-Shaw cell
technique. The cell has been heated on the lower half and cooled on the upper half along the same vertical sidewall. Flows
have been visualized using the pH indicator method. Photographs of natural convection patterns as well as average Nusselt
number data have been presented for different Rayleigh numbers. Oscillatory motion of natural convection has been observed
for large enough Rayleigh numbers and the critical Rayleigh number has been estimated to be between 120 and 450. Scaling analysis
has been conducted to understand the heat transfer and the oscillating mechanism. According to the scaling analysis, it has
been found that the average Nusselt number is proportional to the square root of the Rayleigh number, and that the oscillation
frequency is proportional to the Rayleigh number. Obtained experimental data support the scaling analysis. |
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| Keywords: | Natural convection Porous media Geothermal energy Hele-Shaw cell Oscillatory convection |
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