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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Z. M. Al-Makhyoul, Study the effect of non-darcy flow on natural convection inside rectangular cavity filled with saturated porous medium heated from below using two adiabatic partitions, Al-Qadisiyah Journal Engineering Sciences, 2 (2) (2009) 50–69.
D. A. S. Rees, Nonlinear convection in a partitioned porous layer, Fluids, 1 (3) (2016) 1–15.
D. A. S. Rees, A. P. Bassom and G. Genç, Weakly nonlinear convection in a porous layer with multiple horizontal partitions, Transport in Porous Media, 103 (3) (2014) 437–448.
Z. M. Al-Makhyoul, Study the effect of non-Darcy flow on natural convection inside rectangular cavity filled with saturated porous medium heated from below using two adiabatic partitions, AIP Conf. Proc., 1614 (2014) 886–890.
S. H. Tasnim, S. Mahmud and A. Dutta, Energy streamlines analyses on natural convection within porous square enclosure with internal obstructions, Journal of Thermal Science and Engineering Applications, 5 (3) (2013) 031008.
M. Sathiyamoorthy and S. Narasimman, Control of flow and heat transfer in a porous enclosure due to an adiabatic thin fin on the hot wall, Transport in Porous Media, 89 (3) (2011) 421–440.
Y. Varol, H. Oztop and I. Pop, Natural convection in a diagonally divided square cavity illed with a porous medium, International Journal of Thermal Sciences, 48 (7) (2009) 1405–1415.
Y. Varol and H. Oztop, Control of buoyancy-induced temperature and flow fields with an embedded adiabatic thin plate in porous triangular cavities, Applied Thermal Engineering, 29 (2–3) (2009) 558–566.
Y. Varol, H. Oztop and A. Varol, Effects of thin in on natural convection in porous triangular enclosures, International Journal of Thermal Sciences, 46 (10) (2007) 1033–1045.
S. W. Hsiao and W. Chen, Natural convection heat transfer from a corrugated plate embedded in an enclosed porous medium, Numerical Heat Transfer, Part A: Applications, 25 (3) (1994) 331–345.
P. Vasseur and C. H. Wang, Natural convection heat transfer in a porous layer with multiple partitions, Chemical Engineering Communications, 114 (1) (1992) 145–167.
A. Bejan and R. Anderson, Heat transfer across a vertical impermeable partition imbedded in porous medium, Int. J. Heat Mass Transfer, 24 (7) (1981) 1237–1245.
D. A. Nield and A. Bejan, Convection in Porous Media, 5th Edition, Springer (2017).
M. K. Sinha and R. V. Sharma, Natural convection in a spherical porous annulus: The brinkman extended Darcy flow model, Transport in Porous Media, 100 (2) (2013) 321–335.
M. K. Sinha and R. V. Sharma, Numerical study of natural convection in a spherical porous annulus, Journal of Porous Media, 19 (3) (2016) 277–286.
A. K. Mishra, S. Kumar and R. V. Sharma, Non-Darcy effects on three-dimensional natural convection in a rectangular box containing a heat generating porous medium, Journal of Porous Media, 19 (12) (2016) 1033–1043.
J. S. Chordiya and R. V. Sharma, Conjugate natural convection in a fluid-saturated porous enclosure with two solid vertical partitions, Heat Transfer Asian Research, 47 (8) (2018) 1031–1047.
J. S. Chordiya and R. V. Sharma, Natural convection in inclined rectangular porous enclosure with diathermal partition wall, Carbon: Science and Technology, 10 (1) (2018) 13–18.
K. L. Walker and G. M. Homsy, Convection in a porous cavity, Journal of Fluid Mechanics, 87 (3) (1978) 449–474.
A. Bejan, On the boundary layer regime in a vertical enclosure filled with a porous medium, Int. J. Heat Mass Transfer, 6 (2) (1979) 93–102.
C. Beckermann, R. Viskanta and S. Ramadhyani, A numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium, Num. Heat Transfer, 10 (6) (1986) 557–570.
R. J. Gross, M. R. Bear and C. E. Hickox, The application of flux corrected transport (FCT) to high Rayleigh number natural convection in a porous medium, Proc. 8th Int. Heat Transfer Conf., San Francisco, CA (1986).
D. M. Manole and J. L. Lage, Numerical benchmark results for natural convection in a porous medium cavity, Heat and Mass Transfer in Porous Media, ASME Conf., 216 (1993) 55–60.
S. L. Moya, E. Ramos and M. Sen, Numerical study of natural convection in a tilted rectangular porous material, Int. J. Heat Mass Transfer, 30 (4) (1987) 741–756.
A. C. Baytas and I. Pop, Free convection in oblique enclosures filled with a porous medium, Int. J. Heat Mass Transfer, 42 (6) (1999) 1047–1057.
O. V. Trevisan and A. Bejan, Natural convection with combined heat and mass transfer buoyancy effects in a porous medium, Int. J. Heat Mass Transfer, 28 (8) (1985) 1597–161.
J. Y. Jang and C. N. Chen, Natural convection in an inclined porous enclosure with an off-centre diathermal partition, Warme-und Stoffubertragung, 24 (2) (1989) 117–123.
P. H. Holst and K. Aziz, A theoretical and experimental Study of natural convection in a confined porous medium, The Canadian Journal of Chemical Engineering, 50 (2) (1972) 232–241.
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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