Finite Element Analysis of Heater Length in a Porous Annulus - Part A

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The focus of present study is to investigate the influence of discrete heating by an isothermal heater placed at the inner radius of a vertical annular cylinder containing porous medium between its inner and the outer radius. Finite element method is used to solve the governing partial differential equations by employing 3 noded triangular elements. Darcy model is used to represent the flow behavior inside the porous medium. It is assumed that the thermal non-equilibrium condition exists between the fluid and solid phases of the porous medium. The study is conducted for different lengths of heater corresponding to 20%, 35% and 50% of the total height of the cylinder. It is found that the Nusselt number for fluid, solid phases as well as total Nusselt number initially decreases and the increases along the length of heater.

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193-198

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August 2015

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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[1] V. Prasad, F. A Kulacki, Natural convection in a vertical porous annulus, Int. J. Heat Mass Transfer. 27 (1984) 207-219.

DOI: 10.1016/0017-9310(84)90212-6

Google Scholar

[2] R. C Rajamani, C. Srinivas, P. Nithiarasu, K.N. Seetharamu, Convective Heat-Transfer in Axisymmetrical Porous Bodies, Int. J of Numer Methods Heat Fluid Flow. 5(9) (1995) 829-837.

DOI: 10.1108/eum0000000004126

Google Scholar

[3] I.A. Badruddin, A.A.A.A. Abdullah, N. J. S. Ahmed, S. Kamangar, Investigation of heat transfer in square porous-annulus, Int. J Heat Mass Transfer.  55 (7-8) (2012) 2184-2192.

DOI: 10.1016/j.ijheatmasstransfer.2011.12.023

Google Scholar

[4] N.J.S. Ahmed, I.A. Badruddin, Z.A. Zainal, H.M.T. Khaleed, J. Kanesan, Heat transfer in a conical cylinder with porous medium, Int. J. Heat Mass Transfer. 52(13-14)   (2009) 3070-3078.

DOI: 10.1016/j.ijheatmasstransfer.2008.12.030

Google Scholar

[5] I.A. Badruddin, Z.A. Zainal, P.A. Narayana, K.N. Seetharamu, L.W. Siew, Free convection and radiation for a vertical wall with varying temperature embedded in a porous medium, Int. J. Therm. Sci. 45(5) (2006) 487-493.

DOI: 10.1016/j.ijthermalsci.2005.05.008

Google Scholar

[6] I.A. Badruddin, Z.A. Zainal, P.A. Narayana, K.N. Seetharamu, Heat transfer in porous cavity under the influence of radiation and viscous dissipation, Int. commun. Heat Mass Transfer. 33(4) (2006) 491-499.

DOI: 10.1016/j.icheatmasstransfer.2006.01.015

Google Scholar

[7] I.A. Badruddin, Z.A. Zainal, Z. A Khan, Z. Mallick, Effect of viscous dissipation and radiation on natural convection in a porous medium embedded within vertical annulus, Int. J. Therm. Sci.  46 (3) (2007) 221-227.

DOI: 10.1016/j.ijthermalsci.2006.05.005

Google Scholar

[8] A. Raptis, Radiation and free convection flow through a porous medium, Int. Commun. Heat Mass Transfer. 25(2) (1998) 289-295.

DOI: 10.1016/s0735-1933(98)00016-5

Google Scholar

[9] I.A. Badruddin, Z.A. Zainal, P.A. Narayana, K.N. Seetharamu, Heat transfer by radiation and natural convection through a vertical annulus embedded in porous medium, Int. Commun. Heat Mass Transfer. 33(4) (2006) 500-507.

DOI: 10.1016/j.icheatmasstransfer.2006.01.008

Google Scholar

[10] N.J.S. Ahmed, S. Kamangar, I.A. Badruddin, A.A.A.A. Al-Rashed, G.A. Quadir, H.M.T. Khaleed, T.M.Y. Khan, Conjugate heat transfer in porous annulus, J. Porous Media. 17(12) (2014) 1109-1119.

DOI: 10.1615/jpormedia.v17.i12.70

Google Scholar

[11] N.H. Saeid, Analysis of free convection about a horizontal cylinder in a porous media using a thermal non-equilibrium model, Int. Commun. Heat Mass Transfer. 33(2) (2006) 158-165.

DOI: 10.1016/j.icheatmasstransfer.2005.09.009

Google Scholar

[12] T.W. Ting, Y.M. Hung, N. Guo, Entropy generation of viscous dissipative nanofluid flow in thermal non-equilibrium porous media embedded in microchannels, Int. J. Heat Mass Transfer. 81, (2015) 862-877.

DOI: 10.1016/j.ijheatmasstransfer.2014.11.006

Google Scholar

[13] Y. Mahmoudi, Effect of thermal radiation on temperature differential in a porous medium under local thermal non-equilibrium condition, Int. J. Heat Mass Transfer. 76 (2014) 105-121.

DOI: 10.1016/j.ijheatmasstransfer.2014.04.024

Google Scholar

[14] I.A. Badruddin, Z. A Zainal, P.A. Narayana, K.N. Seetharamu, Thermal non-equilibrium modeling of heat transfer through vertical annulus embedded with porous medium, Int. J. Heat Mass Transfer. 49(25-26) (2006) 4955-4965.

DOI: 10.1016/j.ijheatmasstransfer.2006.05.043

Google Scholar

[15] N.J.S. Ahmed, I.A. Badruddin, J. Kanesan, Z.A. Zainal, K.S.N. Ahamed, Study of mixed convection in an annular vertical cylinder filled with saturated porous medium, using thermal non-equilibrium model, Int. J. Heat Mass Transfer. 54(17-18) (2011).

DOI: 10.1016/j.ijheatmasstransfer.2011.05.001

Google Scholar

[16] I.A. Badruddin, Z.A. Zainal, P.A. Narayana, K.N. Seetharamu, Numerical analysis of convection conduction and radiation using a non-equilibrium model in a square porous cavity, Int. J. Therm. Sci.  46(1) (2007) 20-29.

DOI: 10.1016/j.ijthermalsci.2006.03.006

Google Scholar

[17] P. Bera, S. Pippal, A.K. Sharma, A thermal non-equilibrium approach on double-diffusive natural convection in a square porous-medium cavity, Int. J. Heat Mass Transfer. 78 (2014) 1080-1094.

DOI: 10.1016/j.ijheatmasstransfer.2014.07.041

Google Scholar

[18] I.A. Badruddin, A.A.A.A. Al-Rashed, N.J.S. Ahmed, S. Kamangar, K. Jeevan, Natural convection in a square porous annulus, Int. J. Heat Mass Transfer. 55(23–24) ( 2012) 7175-7187.

DOI: 10.1016/j.ijheatmasstransfer.2012.07.034

Google Scholar

[19] U. Akdag, Numerical investigation of pulsating flow around a discrete heater in a channel, Int. Commun. Heat Mass Transfer. 37(7) (2010) 881-889.

DOI: 10.1016/j.icheatmasstransfer.2010.04.001

Google Scholar

[20] E. Bilgen, and A. Muftuoglu, Conjugate heat transfer in open cavities with a discrete heater at its optimized position, Int. J. Heat Mass Transfer. 51(3-4) (2008) 779-788.

DOI: 10.1016/j.ijheatmasstransfer.2007.04.017

Google Scholar

[21] F.Y. Zhao, D. Liu, G.F. Tang, Resonant response of fluid flow subjected to discrete heating elements, Energy Convers. Manage. 48(9) (2007) 2461–2472.

DOI: 10.1016/j.enconman.2007.04.008

Google Scholar

[22] N.H. Saeid, and I. Pop, Maximum density effects on natural convection from a discrete heater in a cavity filled with a porous medium, Acta Mech. 171(3-4) (2004) 203-212.

DOI: 10.1007/s00707-004-0142-x

Google Scholar

[23] G. Saha, Finite element simulation of magnetoconvection inside a sinusoidal corrugated enclosure with discrete isoflux heating from below, Int. Commun. Heat Mass Transfer. 37(4) (2010) 393-400.

DOI: 10.1016/j.icheatmasstransfer.2009.12.001

Google Scholar

[24] M. Sankar, and Y. Do, Numerical simulation of free convection heat transfer in a vertical annular cavity with discrete heating, Int. Commun. Heat Mass Transfer. 37(6) (2010) 600-606.

DOI: 10.1016/j.icheatmasstransfer.2010.02.009

Google Scholar

[25] G.F. Tang, F.Y. Zhao, D. Liu, Natural convection in a porous enclosure with a partial heating and salting element, Int. J. Therm. Sci. 47(5) (2008) 569-583.

DOI: 10.1016/j.ijthermalsci.2007.04.006

Google Scholar

[26] S.K.W. Tou, and X.F. Zhang, Three-dimensional numerical simulation of natural convection in an inclined liquid-filled enclosure with an array of discrete heaters, Int. J. Heat Mass Transfer. 46(1) (2003) 127-138.

DOI: 10.1016/s0017-9310(02)00253-3

Google Scholar

[27] W.M. Yan, and T.F. Lin, Natural convection heat transfer in vertical open channel flows with discrete heating, Int. Commun. Heat Mass Transfer. 14(2) (1987) 187-200.

DOI: 10.1016/s0735-1933(87)81009-6

Google Scholar