Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids

J. C. Umavathi; I. C. Liu; J. Prathap Kumar; D. Shaik Meera

doi:10.3879/j.issn.1000-0887.2010.12.003

Volume 31 Issue 12

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J. C. Umavathi, I. C. Liu, J. Prathap Kumar, D. Shaik Meera. Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids[J]. Applied Mathematics and Mechanics, 2010, 31(12): 1415-1434. doi: 10.3879/j.issn.1000-0887.2010.12.003

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Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids

doi: 10.3879/j.issn.1000-0887.2010.12.003

1.
Department of Mathematics, Gulbarga University, Gulbarga-585 106 Karnaktaka, India;

Received Date: 1900-01-01
Rev Recd Date: 2010-10-23
Publish Date: 2010-12-15

Abstract

Abstract

The problem of unsteady oscillatory flow and heat transfer of porousmedia sandwiched between viscous fluids through a horizontal channel with isothermal wall temperatures was considered.The flow in the porous medium was modeled using Brinkm an equation.The governing partial differential equations were transformed to ordinary differential equations by collecting the non-periodic and periodic terms and closed-formsolutions for each region were found after applying the boundary and interface conditions.The influence of physical parameters such as porous parameter,frequency parameter,periodic frequency parameter,viscosity ratios,conductivity ratios and Prandtl number on the velocity and tem perature fields were computed numerically and presented graphically.In addition,the numerical values of the heat transfer rate at the top and bottom walls are derived and were tabulated.
- unsteady,
- porous medium,
- mimiscible fluids,
- horizontal channel,
- analytical solutions

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References(19)

References

[1]	Ostrach S. Low-gravity fluid flows[J]. Ann Rev Fluid Mech, 1982,14: 313-345. doi: 10.1146/annurev.fl.14.010182.001525
[2]	Langlois W E. Buoyancy-driven flows in crystal-growth melts[J]. Ann Rev Fluid Mech, 1985, 17: 191-215. doi: 10.1146/annurev.fl.17.010185.001203
[3]	Schwabe D. Surface-tension-driven flow in crystal growth metals[J]. Crystal, 1986,11: 848-852.
[4]	Sparrow E M, Azevedo L F A, Prata A T. Two-fluid and single-fluid natural convection heat transfer in an enclosure[J]. ASME J Heat Transfer, 1986,108(4): 848-852. doi: 10.1115/1.3247022
[5]	Kimura T, Heya N, Takeuchi M, Isomi H. Natural convection heat transfer phenomena in an enclosure filled with two stratified fluids[J]. JSME,B, 1986,52: 617-625. doi: 10.1299/kikaib.52.617
[6]	Bethancourt L A M, Hashiguchi M, Kuwahara K, Hyun J M. Natural convection of a two-layer fluid in a side-heated cavity[J]. Int J Heat Mass Transfer, 1999,42(13): 2427-2437. doi: 10.1016/S0017-9310(98)00311-1
[7]	Alazmi B, Vafai K. Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer[J]. Int J Heat Mass Transfer, 2001, 44 (9): 1735-1749. doi: 10.1016/S0017-9310(00)00217-9
[8]	Kuznetsov A V. Analytical studies of forced convection in partly porous configurations[C] Vafai K. Handbook of Porous Media. New York: Marcel Dekker, 2000: 269-312.
[9]	Vafai K, Kim S J. Fluid Mechanics of the interface region between a porous medium and a fluid layer: an exact solution[J]. Int J Heat Fluid Flow, 1990,11(3):254-256. doi: 10.1016/0142-727X(90)90045-D
[10]	Kuznetsov A V, Vafai K. Development and investigation of three-phase model of the mushy zone for analysis of porosity formation in solidifying castings[J]. Int J Heat Mass Transfer, 1995, 38(14): 2557-2567. doi: 10.1016/0017-9310(95)00012-X
[11]	Muralidhar K, Suzuki K. Analysis of flow and heat transfer in a regenerator mesh using a non-Darcy thermally non-equilibrium model[J]. Int J Heat Mass Transfer, 2001, 44(13): 2493-2504. doi: 10.1016/S0017-9310(00)00285-4
[12]	Kelin H, Eigenberger G. Approximate solutions for metallic regenerative heat exchangers[J]. Int J Heat Mass Transfer, 2001, 44 (18): 3553-3563. doi: 10.1016/S0017-9310(01)00010-2
[13]	Umavathi J C, Palaniappan D. Oscillatory flow of unsteady Oberbeck convection in an infinite vertical porous medium[J]. AMSE, 2000, 69: 35-60.
[14]	Malashetty M S, Umavathi J C, Kumar J Prathap. Convective flow and heat transfer in a composite medium[J]. J Porous Media, 2001, 4: 15-22.
[15]	Malashetty M S, Umavathi J C, Kumar J Prathap. Two fluid flow and heat transfer in an inclined channel containing porous and fluid layer[J]. Heat Mass Transfer, 2004, 40(11): 871-876. doi: 10.1007/s00231-003-0492-2
[16]	Malashetty M S, Umavathi J C, Kumar J Prathap. Flow and heat transfer in an inclined channel containing a fluid layer sandwiched between two porous layers[J]. J Porous Media, 2005, 8(5):443-453. doi: 10.1615/JPorMedia.v8.i5.30
[17]	Malashetty M S, Umavathi J C, Kumar J Prathap. Flow and heat transfer in an inclined channel containing a porous layer sandwiched between two fluid layers[J]. AMSE, 2005, 74: 19-35.
[18]	Umavathi J C, Mateen Abdul, Chamkha A J, Al-Mudhaf A. Oscillatory flow and heat transfer in a horizontal composite porous medium[J]. Int J Heat Technology, 2006, 24: 75-86.
[19]	Lohrasbi J, Sahai V. Magnetohydrodynamic heat transfer in two phase flow between parallel plates[J]. Appl Sci Res, 1987, 45 (1): 53-66.