Laminar Dissipative Flow in a Porous Channel Bounded by Isothermal Parallel Plates

Kamel Hooman; Mofid Gorji-Bandpy

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(5): 541-546

Kamel Hooman, Mofid Gorji-Bandpy. Laminar Dissipative Flow in a Porous Channel Bounded by Isothermal Parallel Plates[J]. Applied Mathematics and Mechanics, 2005, 26(5): 541-546.

Citation:

Kamel Hooman, Mofid Gorji-Bandpy. Laminar Dissipative Flow in a Porous Channel Bounded by Isothermal Parallel Plates[J]. Applied Mathematics and Mechanics, 2005, 26(5): 541-546.

Citation:

Kamel Hooman, Mofid Gorji-Bandpy. Laminar Dissipative Flow in a Porous Channel Bounded by Isothermal Parallel Plates[J]. Applied Mathematics and Mechanics, 2005, 26(5): 541-546.

PDF( 265 KB)

Laminar Dissipative Flow in a Porous Channel Bounded by Isothermal Parallel Plates

Mechanical Engineering Department, Mazandaran University, Po box 484, Babol, Iran

Received Date: 2003-10-10
Rev Recd Date: 2005-02-02
Publish Date: 2005-05-15

Abstract

Abstract

The effects of viscous dissipation on thermal entrance heat transfer in a parallel plate channel filled with a saturated porous medium, is investigated analytically on the basis of a Darcy model. The case of isothermal boundary is treated. The local and the bulk temperature distribution along with the Nusselt number in the thermal entrance region were found. The fully developed Nusselt number, independent of the Brinkman number, is found to be 6. It is observed that neglecting the effects of viscous dissipation would lead to the wellknown case of internal flows, with Nusselt number equal to 4.93. A finite difference numerical solution is also utilized. It is seen that the results of these two methods-analytical and numerical are in good agreement.
- heat transfer,
- Nusselt number,
- forced convection,
- porous media,
- viscous dissipation

FullText(HTML)

References(11)

References

[1]	Nield D A,Bejan A.Convection in Porous Media[M].2nd ed.New York:Springer,1999.
[2]	Nield D A,Kuznetsov A V,Xiong M.Thermally developing forced convection in a porous medium:parallel plate channel or circular tube with walls at constant temperature[J].J Prous Media,2004,7(1):19—27. doi: 10.1615/JPorMedia.v7.i1.30
[3]	Nield D A,Kuznetsov A V,Xiong M.Thermally developing forced convection in a porous medium:parallel plate channel or circular tube with walls at constant heat flux[J].J Porous Media,2003,6(3):203—212. doi: 10.1615/JPorMedia.v6.i3.50
[4]	Nield D A,Kuznetsov A V,Xiong M.Effect of local thermal non-equilibrium on thermally developing forced convection in a porous medium[J].Int J Heat Mass Transfer,2002,45(25):4949—4955. doi: 10.1016/S0017-9310(02)00203-X
[5]	Lahjomri J,Oubarra A,Alemany A.Heat trasfer by laminar Hartmann flow in thermal entrance region with a step change in wall temperature:the Graetz problem extended[J].Int J Heat Mass Transfer,2002,45(5):1127—1148. doi: 10.1016/S0017-9310(01)00205-8
[6]	Lahjomri J,Oubarra A.Analytical solution of the Graetz problem with axial conduction[J].ASME J Heat Transfer,1999,121(4):1078—1083. doi: 10.1115/1.2826060
[7]	Narasimhan A,Lage J L.Modified Hazen-Dupuit-Darcy model for forced convection of a fluid with temperature dependent viscosity[J].ASME J Heat Transfer,2001,123(1):31—38. doi: 10.1115/1.1332778
[8]	Kreyszig E.Advanced Engineering Mathematics[M].4th Ed.New York:John Wiley & Sons,1979.
[9]	Shah R K,London A L.Laminar Flow Forced Convection in Ducts(Advances in Heat Transfer,Supplement 1)[M].New York:Academic Press,1978.
[10]	Tannehill J C,Anderson D A,Pletcher R H.Computational Fluid Mechanics and Heat Transfer[M].2nd Ed.Bristol:Taylor & Francis,Inc,1997.
[11]	Nield D A,Kuznetsov A V.Effect of heterorgeneity in forced convection in a porous medium:parallel plate channel or circular duct[J].Int J Heat Mass Transfer,2000,43(22):4119—4134. doi: 10.1016/S0017-9310(00)00025-9