This is a theoretical and numerical study of fully developed forced convection in various rectangular ducts. Each duct is filled with porous materials and the Brinkman model describes the laminar fluid flow inside this fully saturated porous passage. A Fourier series solution provides the exact solution for the velocity field. Also, a Fourier series solution can produce the temperature profile for a condition of constant energy input per unit length. This includes two different wall conditions: a uniform wall temperature at any axial location and a locally uniform heat flux over the boundary. The case of constant wall temperature over the entire passage is also accommodated using a special analytical/numerical solution.
Issue Section:
Porous Media
1.
Nield
, D. A.
, and Bejan
, A.
, 1999, Convection in Porous Media
, 2nd ed., Springer-Verlog
, New York.2.
Kaviany
, K.
, 1991, Principles of Heat Transfer in Porous Media
, Springer-Verlag
, New York.3.
Handbook of Porous Media
, 2000, K.
Vafai
, ed., Marcel Dekker
, New York.4.
Nield
, D. A.
, Kuznetsov
, A. V.
, and Xiong
, M.
, 2002, “Effect of Local Thermal Non-equilibrium on Thermally Developing Forced Convection in a Porous Medium
,” Int. J. Heat Mass Transfer
0017-9310 45
(25
), pp. 4949
–4955
.5.
Haji-Sheikh
, A.
, Minkowycz
, W. J.
, and Sparrow
, E. M.
, 2004, “Green’s Function Solution of Temperature Field for Flow in Porous Passages
,” Int. J. Heat Mass Transfer
0017-9310, 47
(22
), pp. 4685
–4695
.6.
Haji-Sheikh
, A.
, Minkowycz
, W. J.
, and Sparrow
, E. M.
, 2004, “A Numerical Study of the Heat Transfer to Fluid Flow through Circular Porous Passages
,” Numer. Heat Transfer, Part A
1040-7782, 46
(10
), pp. 929
–956
.7.
Haji-Sheikh
, A.
, Sparrow
, E. M.
, and Minkowycz
, W. J.
, 2005, “Heat Transfer to Flow Through Porous Passages Using Extended Weighted Residuals Method–A Green’s Function Solution
,” Int. J. Heat Mass Transfer
0017-9310, 48
(7
), pp. 1330
–1349
.8.
Nield
, D. A.
, Kuznetsov
, A. V.
, and Xiong
, M.
, 2003, “Thermally Developing Forced Convection in a Porous Medium: Parallel Plate Channel With Walls at Uniform Temperature, With Axial Conduction and Viscous Dissipation Effects
,” Int. J. Heat Mass Transfer
0017-9310 46
(4
), pp. 643
–651
.9.
Kuznetsov
, A. V.
, Nield
, D. A.
, and Xiong
, M.
, 2003, “Thermally Developing Forced Convection in a Porous Medium: Circular Ducts With Walls at Constant Temperature, With Longitudinal Conduction and Viscous Dissipation Effects
,” Transp. Porous Media
0169-3913, 53
(3
), pp. 331
–345
.10.
Sparrow
, E. M.
, and Siegel
, R.
, 1959, “A Variational Method for Fully Developed Laminar Heat Transfer in Ducts
,” J. Heat Transfer
0022-1481, 81
(2
), pp. 157
–167
.11.
Kays
, W. M.
, and Crawford
, M. E.
, 1993, Convective Heat and Mass Transfer
, McGraw-Hill
, New York.12.
Kays
, W. M.
, and Perkins
, H. C.
, 1973, “Forced Convection, Internal Flow in Ducts
,” Sec. 7, Handbook of Heat Transfer
, W. M.
Rohsenow
, and J. P.
Hartnett
, eds., McGraw-Hill
, New York.13.
Wolfram
, S.
, 1999, The Mathematica Book
, 4th ed., Cambridge University Press
, Cambridge, UK.Copyright © 2006
by American Society of Mechanical Engineers
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