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Abstrakty
The present article considers a numerical study of the thermal dispersion effect on the non-Darcy natural convection over a vertical flat plate in a fluid saturated porous medium. The Forchheimer extension is considered in the flow equations. The coefficient of thermal diffusivity has been assumed to be the sum of the molecular diffusivity and dispersion thermal diffusivity due to mechanical dispersion. The non-dimensional governing equations are solved by the finite element method (FEM). The resulting non-linear integral equations are linearized and solved by the Newton-Raphson iteration. The finite element implementations are prepared by using the Matlab software packages. Numerical results for the details of the stream function, velocity and temperature contours and profiles as well as heat transfer rate in terms of the Nusselt number, which are shown on graphs, have been presented.
Rocznik
Tom
Strony
615--632
Opis fizyczny
Bibliogr. 10 poz., tab., wykr.
Twórcy
autor
autor
- Mathematics Department, Faculty of Science Sohag University 82524 Sohag, EGYPT, ibrahim.abbas@sci.sohag.edu.eg
Bibliografia
- Cheng P. (1981): Thermal dispersion effects on non-Darcy convection flows in a saturated porous medium. - Lett. Heat Mass Trans., vol.8, pp.267-270.
- El-Amin M.F. (2004): Double dispersion effects on natural convection heat and mass ransfer in non-Darcy porous medium. - Appl. Math. Comp., vol.156, pp.1-17.
- El-Amin M.F. (2005): Thermal dispersion effects on non-Darcy axisymmetric free convection in a power-law fluid saturated porous medium. - Int. J. Appl. Mech. Eng., vol.10, pp.77-86.
- Fried J.J. and Combarnous M. (1976): Dispersion in porous media. - Adv. Hydrosc., vol.11, pp.169-282.
- Georgiadis J.G. and Catton I. (1988): Dispersion in cellular convection in porous layers. - Int. J. Heat Mass Transfer, vol.31, pp.1081-1091.
- Hong J.T. and Tien C.L. (1987): Analysis of thermal dispersion effect on vertical plate natural convection in porous media. - Int. J. Heat Mass Transfer, vol.30, pp.143-150.
- Lai F.C. and Kulacki F.A. (1989): Thermal dispersion effect on non-Darcy convection from horizontal surface in saturated porous media. - Int. J. Heat Mass Transfer, vol.32, pp.971-976.
- Mansour M.A. and El-Amin M.F. (1999): Thermal dispersion effects on non-Darcy axisymmetric free convection in a saturated porous medium with lateral mass transfer. - Int. J. Appl. Mech. Eng., vol.4, pp.127-137.
- Murthy P.V.S.N. and Singh P. (1997): Thermal dispersion effects on non-Darcy natural convection with lateral mass flux. - Heat and Mass Transfer, vol.33, pp.1-5.
- Plumb O. (1983): The effect of thermal dispersion on heat transfer in packed bed boundary layers. - Proc. of Ist ASME/JSME Thermal Engineering Joint Conference, vol.2, pp.17-22. 17-21.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0041-0020