Numerical study of three-dimensional non-Darcy forced convection in a square porous duct. (English) Zbl 0964.76081
Using Brinkman-Forchheimer-extended Darcy model, the authors obtain a numerical solution of laminar forced convection in a three-dimensional square duct packed with isotropic granular material and saturated with a Newtonian fluid. It is shown that in the three-dimensional duct the thermal dispersion effects are considerably reduced in comparison with earlier reported results for two-dimensional channels. The authors also study effects of particle diameter, Reynolds number, Prandtl number and thermal conductivity ratio on the hydrodynamics and heat transfer in the porous duct.
Reviewer: Y.N.Gaur (Jaipur)
MSC:
| 76R05 | Forced convection |
| 76S05 | Flows in porous media; filtration; seepage |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
Keywords:
three-dimensional non-Darcy forced convection; square porous duct; parametric investigation; Brinkman-Forchheimer-extended Darcy model; granular material; Newtonian fluid; thermal dispersion; particle diameter; Reynolds number; Prandtl number; thermal conductivity ratio; heat transferReferences:
| [1] | DOI: 10.1016/0017-9310(94)90219-4 · doi:10.1016/0017-9310(94)90219-4 |
| [2] | DOI: 10.1615/JEnhHeatTransf.v3.i4.50 · doi:10.1615/JEnhHeatTransf.v3.i4.50 |
| [3] | DOI: 10.1002/aic.690080319 · doi:10.1002/aic.690080319 |
| [4] | Chandrasekhara, B.C. and Vortmeyer, D. (1979), ”Flow model for velocity distribution in fixed porous beds under isothermal conditions”,Thermal Fluid Dynamics, Vol. 12, pp. 105-11. · doi:10.1007/BF01002325 |
| [5] | DOI: 10.1115/1.3250597 · doi:10.1115/1.3250597 |
| [6] | DOI: 10.1016/0017-9310(92)90020-S · doi:10.1016/0017-9310(92)90020-S |
| [7] | Ergun, S. (1952), ”Fluid flow through packed columns”,Chemical Engineering Progresses, Vol. 48, pp. 89-94. |
| [8] | DOI: 10.1016/0017-9310(90)90015-M · Zbl 0703.76079 · doi:10.1016/0017-9310(90)90015-M |
| [9] | DOI: 10.1016/0017-9310(88)90013-0 · doi:10.1016/0017-9310(88)90013-0 |
| [10] | DOI: 10.1115/1.2911418 · doi:10.1115/1.2911418 |
| [11] | Hwang, G.J. and Wu, C.C. (1995), ”Drag and heat transfer measurement and analysis for porous channels”,ASME/JSME Thermal Engineering Conference, Vol. 3, pp. 347-53. |
| [12] | DOI: 10.1002/aic.690320407 · doi:10.1002/aic.690320407 |
| [13] | Kuzay, T.M., Collins, J.T. and Khounsary, A.M. (1991), ”Enhanced heat transfer with metal- wool-filled tubes”,ASME/JSME Thermal Engineering Proceedings, Vol. 5, pp. 451-9. |
| [14] | DOI: 10.1115/1.3248198 · doi:10.1115/1.3248198 |
| [15] | DOI: 10.1115/1.3250658 · doi:10.1115/1.3250658 |
| [16] | DOI: 10.1017/S002211208400207X · Zbl 0578.76099 · doi:10.1017/S002211208400207X |
| [17] | DOI: 10.1016/0017-9310(81)90027-2 · Zbl 0464.76073 · doi:10.1016/0017-9310(81)90027-2 |
| [18] | DOI: 10.1115/1.3247472 · doi:10.1115/1.3247472 |
| [19] | Zehner, P. and Schluender, E.U. (1970), ”Waermeleifahigkeit von schuettungen bei massingen temperaturen”,Chemical Engineering Technologies, Vol. 42, pp. 933-41. |
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