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Numerical study on effect of corrugated diathermal partition on natural convection in a square porous cavity

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Abstract

Partitions in porous enclosure have been observed to offer a key solution for reduction of heat transfer rate across it. However, very little is known about the effect of its shape, position and orientation within the porous enclosure, which seems to be an important consideration for thermal designers. The present numerical investigation reports the effect of a corrugated diathermal partition within a fluid saturated porous enclosure. The objective is to comprehend the effect of the amplitude of the corrugated partition (0.05 ≤ A ≤ 0.25) and position of the partition (0.2 ≤ D ≤ 0.8) for various values of Darcy-modified Rayleigh number (10 ≤ Ra ≤ 1000) on natural convection fluid flow and heat transfer. An overall II-order finite difference method has been used to solve the Darcy model for porous media using successive accelerated replacement scheme. It is found that value of amplitude for which the least value of Nusselt number is obtained shifts to a lower side as value of modified Rayleigh number increases i.e., amplitude decreases from 0.16 to 0.025 as Ra changes from 100 to 1000. For higher values of Rayleigh number, the reduction in Nusselt number is about 61% with respect to porous enclosure without partition, which is very substantial.

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Correspondence to Jayesh Subhash Chordiya.

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Recommended by Associate Editor Jaeseon Lee

Jayesh Subhash Chordiya is a Research Scholar at Department of Mechanical Engineering, National Institute of Technology, Jamshedpur. He received his B.E. from Pune University and M. Tech. from NIT Jamshedpur. He is pursuing his Ph.D. at NIT, Jamshedpur.

Ram Vinoy Sharma is a Professor at Department of Mechanical Engineering, National Institute of Technology, Jamshedpur. He received his Ph.D. from IIT Kharagpur.

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Chordiya, J.S., Sharma, R.V. Numerical study on effect of corrugated diathermal partition on natural convection in a square porous cavity. J Mech Sci Technol 33, 2481–2491 (2019). https://doi.org/10.1007/s12206-019-0445-4

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  • DOI: https://doi.org/10.1007/s12206-019-0445-4

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