Heat and mass transfer by non-Darcy free convection from a vertical cylinder embedded in porous media with a temperature-dependent viscosity

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 21, Issue 7, 2011, Pages 847-863

  Chamkha, A J ^a   El Kabeir, S M M ^b,c   Rashad, A M ^c  

^a MANUFACTURING ENGINEERING DEPARTMENT   (Kuwait)

^b PRINCE SATTAM BIN ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^c ASWAN UNIVERSITY   (Egypt)

Author keywords

Chemical reactions; Conduction radiation interaction; Free convection; Heat transfer; Mass transfer; Non Darcy effect; Porous medium; Variable viscosity

Indexed keywords

CONDUCTION-RADIATION INTERACTION; FREE CONVECTIONS; NON-DARCY EFFECTS; POROUS MEDIUM; VARIABLE VISCOSITY;

CHEMICAL REACTIONS; CYLINDERS (SHAPES); DIFFERENTIAL EQUATIONS; HEAT TRANSFER; MASS TRANSFER; NATURAL CONVECTION; POROUS MATERIALS; VISCOSITY;

RADIATION EFFECTS;

EID: 80053469088     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615531111162828     Document Type: Article

References (26)

1. Abo-Eldahab, E.M. and Salem, A.M. (2005), "MHD flow and heat transfer of non-Newtonian power-law fluid with diffusion and chemical reaction on a moving cylinder", Heat Mass Transfer, Vol. 41, pp. 703-8. (Pubitemid 40872162)
2. Afify, A.A. (2004), "The effect of radiation on free convective flow and mass transfer past a vertical isothermal cone surface with chemical reaction in the presence of a transverse magnetic field", Can. J. Phys., Vol. 82, pp. 447-58.
3. Andersson, K.I., Hansen, O.R. and Holmedal, B. (1994), "Diffusion of a chemically reactive species from a stretching sheet", Int. J. Heat Mass Transfer, Vol. 37, pp. 659-64.
4. Anjalidevi, S.P. and Kandasamy, R. (1999), "Effect of chemical reaction, heat and mass transfer on laminar flow along a semi infinite horizontal plate", Heat Mass Transfer, Vol. 35, pp. 465-7. (Pubitemid 30526446)
5. Bassom, A.P. and Rees, D.A.S. (1996), "Free convection from a heated vertical cylinder in a fluid-saturated porous medium", Acta Mechanica, Vol. 116, p. 139.
6. Blottner, F.G. (1970), "Finite-difference methods of solution of the boundary-layer equations", AIAA J., Vol. 8, pp. 93-205.
7. Chamkha, A.J. (2003), "MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction", Int. Comm. Heat Mass Transfer, Vol. 30, pp. 413-22. (Pubitemid 36610833)
8. Chamkha, A.J., Jaradat, M. and Pop, I. (2004), "Thermophoresis free convection from a vertical cylinder embedded in a porous medium", Int. J. Appl. Mech. Eng., Vol. 9, pp. 471-81.
9. Das, U.N., Deka, R. and Soundalgekar, V.M. (1994), "Effects of mass transfer on flow past an impulsive started infinite vertical plate with constant heat flux and chemical reaction", Forschung Im Ingenieurwesen-Engineering Research Bd, Vol. 60, pp. 284-7.
10. EL-Hakiem, M.A. and Rashad, A.M. (2007), "Effect of radiation on non-Darcy free convection from a vertical cylinder embedded in a fluid-saturated porous medium with a temperature-dependent viscosity", J. Porous Media, Vol. 10 No. 2, pp. 209-18. (Pubitemid 46512186)
11. EL-Kabeir, S.M.M., EL-Hakiem, M.A. and Rashad, A.M. (2008), "Group method analysis of combined heat and mass transfer by MHD non-Darcy non-Newtonian natural convection adjacent to horizontal cylinder in a saturated porous medium", Applied Mathematical Modelling, Vol. 32, pp. 2378-95.
12. Ergun, S. (1952), "Fluid flow through packed columns", Chem. Eng. Prog., Vol. 48, pp. 89-93.
13. Fairbanks, D.F. and Wike, C.R. (1950), "Diffusion and chemical reaction in an isothermal laminar flow along a soluble flat plate", Ind. Eng. Chem. Res., Vol. 42, pp. 471-5.
14. Ingham, D. and Pop, I. (1998), Transport Phenomena in Porous Media I, Pergamon, Oxford.
15. Ingham, D. and Pop, I. (2002), Transport Phenomena in Porous Media II, Pergamon, Oxford.
16. Lai, F.C. and Kulacki, F.A. (1990), "The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium", Int. J. Heat Mass Transfer, Vol. 33 No. 5, pp. 1028-31.
17. Ling, J.X. and Dybbs, A. (1987), "Forced convection over a flat plate submersed in a porous medium: variable viscosity case", ASME Paper 87-WA/HT-23, ASME Winter Annual Meeting, ASME, Boston, MA, pp. 13-18.
18. Minkowycz, W.J. (1976), "Free convection about a vertical cylinder embedded in a porous medium", Int. J. Heat Mass Transfer, Vol. 19, pp. 805-13.
19. Muthucumaraswamy, R. (2002), "Effects of chemical reaction on a moving isothermal vertical surface with suction", Acta Mechanica, Vol. 155, pp. 65-70. (Pubitemid 34520194)
20. Nield, D.A. and Bejan, A. (2006), Convection in Porous Media, 3rd ed., Springer, New York, NY.
21. Postelnicu, A. (2007), "Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects", Heat Mass Transfer, Vol. 43, pp. 595-602.
22. Rashad, A.M. and EL-Kabeir, S.M.M. (2010), "Heat and mass transfer in transient flow by mixed convection boundary layer over a stretching sheet embedded in a porous medium with chemically reactive species", J. Porous Media, Vol. 13.
23. Siegel, R. and Howell, J.R. (1972), Thermal Radiation Heat Transfer, McGraw-Hill, New York, NY.
24. Takhar, H.S., Chamkha, A.J. and Nath, G. (2000), "Flow and mass transfer on a stretching sheet with a magnetic field and chemically reactive species", Int. J. Eng. Sci., Vol. 38, pp. 1303-14.
25. Yih, K.A. (1999), "Radiation effect on natural convection over a vertical cylinder embedded in porous media", Int. Comm. Heat Mass Transfer, Vol. 26, pp. 259-67. (Pubitemid 29346056)
26. Yücel, A. (1984), "The influence of injection or withdrawal of fluid on free convection about vertical cylinder in a porous medium", Numer. Heat Transfer, Vol. 20, pp. 483-93. (Pubitemid 15459182)