Numerical study on the effects of multiple internal diathermal obstructions on natural convection in a fluid-saturated porous enclosure

• Autorzy: Chordiya J. S. , Sharma R. V.

Identyfikatory

DOI

10.24425/ame.2018.125442

• Języki publikacji: EN

Abstrakty

EN

The present work aims at studying the effects of orientation, size, position, and the combination of multiple internal diathermal obstructions in a fluid-saturated square porous enclosure, generally encountered in thermal insulations. The overall objective is to suppress the natural convection fluid flow and heat transfer across a differentially heated porous enclosure. To serve this purpose, multiple diathermal obstructions are employed to mechanically protrude into a porous medium. It is sought to estimate the effect of various types of orientation, clustering and alternate positioning of obstructions by considering number of obstructions (Np), length of obstructions (λ), modified Rayleigh number (Ra*) on local and average Nusselt number (Nu). The Darcy model for porous media is solved using Finite difference method along with Successive Accelerated Replacement scheme. One of the findings is that the value of the Nusselt number decreases by increasing both, the number of obstructions as well as the length of obstructions irrespective of its orientation and positioning. The reduction in Nusselt number is significant with obstructions attached on lower half of the hot wall and/or on upper half of cold wall. In addition, the overall reduction in Nusselt number is slightly greater with obstructions attached explicitly to the cold wall.

Słowa kluczowe

EN

thermal insulation; natural convection; internal obstructions; porous enclosure; Darcy's law

PL

izolacja termiczna; konwekcja naturalna; przeszkody wewnętrzne; obudowa porowata; prawo Darcy'ego

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. LXV, nr 4
• Strony: 553--578
• Opis fizyczny: Bibliogr. 22 poz., rys., tab.

Twórcy

autor

Chordiya J. S.

• National Institute of Technology, Jamshedpur

autor

Sharma R. V.

• National Institute of Technology, Jamshedpur

Bibliografia

• [1] D.A.S. Rees. Nonlinear convection in a partitioned porous layer. Fluids, 1(3):24, 2016. doi: 10.3390/fluids1030024.
• [2] 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):437–448, 2014. doi: 10.1007/s11242-014-0310-y.
• [3] 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 for Engineering Sciences, 2(2):50–69, 2017.
• [4] 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):031008, 2013. doi: 10.1115/1.4023603.
• [5] 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):421, 2011. doi: 10.1007/s11242-011-9778-x.
• [6] Y. Varol, H.F. Oztop, and I. Pop. Natural convection in a diagonally divided square cavity filled with a porous medium. International Journal of Thermal Sciences, 48(7):1405–1415, 2009. doi: 10.1016/j.ijthermalsci.2008.12.015.
• [7] Y. Varol and H.F. 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):558–566, 2009. doi: 10.1016/j.applthermaleng.2008.03.018.
• [8] Y. Varol, H.F. Oztop, and A. Varol. Effects of thin fin on natural convection in porous triangular enclosures. International Journal of Thermal Sciences, 46(10):1033–1045, 2007. doi: 10.1016/j.ijthermalsci.2006.11.001.
• [9] S.W. Hsiao and C.K. Chen. Natural convection heat transfer from a corrugated plate embedded in an enclosed porous medium. Numerical Heat Transfer, Part A: Applications, 25(3):331–345, 1994. doi: 10.1080/10407789408955952.
• [10] P. Vasseur and C.H. Wang. Natural convection heat transfer in a porous layer with multiple partitions. Chemical Engineering Communications, 114(1):145–167, 1992. doi: 10.1080/00986449208936020.
• [11] A. Bejan and R. Anderson. Heat transfer across a vertical impermeable partition imbedded porous medium. International Journal of Heat and Mass Transfer, 24(7):1237–1245, 1981.
• [12] Sangita, 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):321–335, 2013. doi: 10.1007/s11242-013-0218-y.
• [13] Sangita, M.K. Sinha, and R. V. Sharma. Numerical study of natural convection in a spherical porous annulus. Journal of Porous Media, 19(3):277–286, 2016. doi: 10.1615/JPorMedia.v19.i3.70.
• [14] 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):1033–1043, 2016. doi: 0.1615/JPorMedia.v19.i12.20.
• [15] K.L. Walker and G.M. Homsy. Convection in a porous cavity. Journal of Fluid Mechanics, 87(3):449–474, 1978. doi: 10.1017/S0022112078001718.
• [16] A. Bejan. On the boundary layer regime in a vertical enclosure filled with a porous medium. Letters in Heat and Mass Transfer, 6:93–102, 1979.
• [17] C. Beckermann, R. Viskanta, and S. Ramadhyani. A numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium. Numerical Heat Transfer, 10(6):557–570, 1986. doi: 10.1080/10407788608913535.
• [18] 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. In: Proceedings of 8th International Heat Transfer Conference, San Francisco, CA, USA,1986.
• [19] D.M. Manole and J.L. Lage. Numerical benchmark results for natural convection in a porous medium cavity. In: Heat and Mass Transfer in Porous Media, ASME Conference 1992, volume 216, pages 55–60, 1992.
• [20] S.L. Moya, E. Ramos, and M. Sen. Numerical study of natural convection in a tilted rectangular porous material. International Journal of Heat and Mass Transfer, 30(4):741–756, 1987. doi: 10.1016/0017-9310(87)90204-3.
• [21] A.C. Baytas and I. Pop. Free convection in oblique enclosures filled with a porous medium. International Journal of Heat and Mass Transfer, 42(6):1047–1057, 1999. doi: 10.1016/S0017-9310(98)00208-7.
• [22] O.V. Trevisan and A. Bejan. Natural convection with combined heat and mass transfer buoyancy effects in a porous medium. International Journal of Heat and Mass Ttransfer, 28(8):1597–1611, 1985. doi: 10.1016/0017-9310(85)90261-3.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).