Effects of Mixed Convection and Double Dispersion on Semi Infinite Vertical Plate in Presence of Radiation
In this paper, the effects of radiation, chemical
reaction and double dispersion on mixed convection heat and mass
transfer along a semi vertical plate are considered. The plate is
embedded in a Newtonian fluid saturated non - Darcy (Forchheimer
flow model) porous medium. The Forchheimer extension and first
order chemical reaction are considered in the flow equations. The
governing sets of partial differential equations are nondimensionalized
and reduced to a set of ordinary differential
equations which are then solved numerically by Fourth order Runge–
Kutta method. Numerical results for the detail of the velocity,
temperature, and concentration profiles as well as heat transfer rates
(Nusselt number) and mass transfer rates (Sherwood number) against
various parameters are presented in graphs. The obtained results are
checked against previously published work for special cases of the
problem and are found to be in good agreement.
[1] D. A.Nield, A. Bejan, "Convection in porous media", 3rd ed. New-York,
Springer-Verlag, pp.4282-4289, 2006
[2] I. Pop, D. B.Ingham, "Convection heat transfer mathematical computational
modeling of viscous fluids and porous media", Pergamon,
Oxford, 2001.
[3] M. M. Ali, T. S.Chen, B. F.Armaly, "Natural convection-radiation
interaction in boundary-layer flow over horizontal surfaces", AIAA
Journal, vol.22, pp.1797-1803, 1984.
[4] M. A. Hossain, I. Pop, "Radiation effect on Darcy free convection flow
along an inclined surface placed in porous media", Heat mass transfer,
vol.32, pp.223-227, 1997.
[5] KA.Yih ."Radiation effect on Mixed convection over an isothermal cone
in porous media",Heat mass transfer,37,pp.53-57, 2001.
[6] AY.Bakier. "Thermal radiation effect on mixed convection from vertical
surfaces in saturated porous media". Int. Commun Heat mass transfer
28, pp.119-126, 2001.
[7] P. Cheng ,W.J. Minkowycz, "Free convection about a vertical a plate
embedded in a porous medium with application to heat transfer from a
dike". Journal of Geophysical Research 82, pp. 2040-2049,1997.
[8] H.T. Chen , C.K. Chen, "Free convection of non-Newtonian fluids along
a vertical plate embedded in a porous medium", Trans. ASME, J. Heat
Transfer 110, pp.257-260, 1998.
[9] K.N. Mehta K.N. Rao."Buoyancy-induced flow of non-Newtonian fluids
in a porous medium past a vertical plate with non uniform surface heat
flux", Int. J. Engng Sci. 32, pp.297-302, 1994.
[10] A. Mucoglu, T.S. Chen, "Wave instability of mixed convection flow
along a vertical flat plate", Num. Heat Transfer 1, 267-283, 1978.
[11] S.P. Anjalidevi, P. Kandasamy. "Effects of Chemical reaction, heat and
mass transfer on laminar flow along a semi infinite horizontal plate".
Heat mass transfer, 35, pp.465-467, 1999.
[12] R.Kandasamy, Abd.Wahid B. Md.Raj, Azme B.Khamis, "Effects of
chemical reaction, heat and mass transfer on boundary layer flow over a
porous wedge with heat radiation in the presence of suction or injection"
Theoret. Appl. Mech., 33, pp.123-148, 2006.
[13] R.R. Kairi, P.V.S.N Murthy. "The effects of double dispersion on
natural convection heat and mass transfer in a non-Newtonian fluid
saturated non-Darcy porous medium", Transport Porous Media, vol.76,
pp.377-390, 2009.
[14] M.F. El-Amin, "Double dispersion effects on natural convection heat
and mass transfer in non-Darcy porous medium". Appl. Math. Comput.
vol.156,pp.1-7, 2004.
[15] AJ. Chamka, "MHD flow of a uniformly stretched vertical permeable
surface in the presence of heat generation / absorption and a chemical
reaction". Int. Comm. Heat Mass Transf. vol.30, pp. 413-422, 2003.
[16] A.S.N. Murti, P.K. Kameswaran, "Effect of radiation, chemical reaction
and double dispersion on heat and mass transfer in non-Darcy free
convective flow", Proceedings of the ASME International Mechanical
Engineering congress & Exposition., Lake Buena vista, Florida, U.S.A.
INMECE 2009-12734 DOI 10.1115,pp.681-690.
[17] Ali.J. Chamkha, "Heat and Mass Transfer for a Non-Newtonian Fluid
Flow along a Surface Embedded in a Porous Medium with Uniform
Wall Heat and Mass Fluxes and Heat Generation or Absorption", Int.
Journal of energy, 3, pp. 97-104, 2007.
[18] N. Ramachandran, B.F. Armaly, T.S. Chen, "Measurements and Predictions
of laminar mixed convection flow adjacent to a vertical surface. J.
Heat Transfer 107, pp.636-641, 1985.
[19] J.H. Merkin, T. Mahmood, "Mixed convection boundary layer similarity
solutions prescribed wall heat flux", Z. Angew. Math. Phys. 40, pp. 51-
68, 1989.
[20] A.S.N. Murti, P.K. Kameswaran, T. Poornakantha, "Radiation,chemical
reaction, double dispersion effects on heat and mass transfer in non-
Newtonian fluids", International Journal of Engineering, vol.4, pp. 13-
25, 2010.
[21] R.S. Telles, O.V. Trevisan, "Dispersion in heat and mass transfer natural
convection along vertical boundaries in porous media ". Int. J.Heat mass
transf. vol.36, pp.1357-1365,1903.
[22] O.A. Plumb, "Measurements for a natural convection flow in a vertical
square enclosure", In: Proc.1st ASME/JSME Thermal Engg. Joint
Conf.2, pp.17-21, 1983.
[23] J.T. Hong, C.L. Tien, "Analysis of thermal dispersion effect on vertical
plate natural convection in porous media, "Int. J. Heat Mass Transfer
voI.30, pp. 143-150, 1987.
[24] P.V.S.N. Murthy, P. Singh, "Thermal dispersion effects on non-Darcy
natural convection with lateral mass flux", Heat and Mass Transfer 33,
pp.1-5, 1977.
[25] E.M.A. Elbashbery, "Heat and mass transfer along a vertical plate with
variable surface tension and concentration in the presence of magnetic
field". Int. J, Eng.Sci.Math.Sci.4,pp. 515-522, 1997.
[1] D. A.Nield, A. Bejan, "Convection in porous media", 3rd ed. New-York,
Springer-Verlag, pp.4282-4289, 2006
[2] I. Pop, D. B.Ingham, "Convection heat transfer mathematical computational
modeling of viscous fluids and porous media", Pergamon,
Oxford, 2001.
[3] M. M. Ali, T. S.Chen, B. F.Armaly, "Natural convection-radiation
interaction in boundary-layer flow over horizontal surfaces", AIAA
Journal, vol.22, pp.1797-1803, 1984.
[4] M. A. Hossain, I. Pop, "Radiation effect on Darcy free convection flow
along an inclined surface placed in porous media", Heat mass transfer,
vol.32, pp.223-227, 1997.
[5] KA.Yih ."Radiation effect on Mixed convection over an isothermal cone
in porous media",Heat mass transfer,37,pp.53-57, 2001.
[6] AY.Bakier. "Thermal radiation effect on mixed convection from vertical
surfaces in saturated porous media". Int. Commun Heat mass transfer
28, pp.119-126, 2001.
[7] P. Cheng ,W.J. Minkowycz, "Free convection about a vertical a plate
embedded in a porous medium with application to heat transfer from a
dike". Journal of Geophysical Research 82, pp. 2040-2049,1997.
[8] H.T. Chen , C.K. Chen, "Free convection of non-Newtonian fluids along
a vertical plate embedded in a porous medium", Trans. ASME, J. Heat
Transfer 110, pp.257-260, 1998.
[9] K.N. Mehta K.N. Rao."Buoyancy-induced flow of non-Newtonian fluids
in a porous medium past a vertical plate with non uniform surface heat
flux", Int. J. Engng Sci. 32, pp.297-302, 1994.
[10] A. Mucoglu, T.S. Chen, "Wave instability of mixed convection flow
along a vertical flat plate", Num. Heat Transfer 1, 267-283, 1978.
[11] S.P. Anjalidevi, P. Kandasamy. "Effects of Chemical reaction, heat and
mass transfer on laminar flow along a semi infinite horizontal plate".
Heat mass transfer, 35, pp.465-467, 1999.
[12] R.Kandasamy, Abd.Wahid B. Md.Raj, Azme B.Khamis, "Effects of
chemical reaction, heat and mass transfer on boundary layer flow over a
porous wedge with heat radiation in the presence of suction or injection"
Theoret. Appl. Mech., 33, pp.123-148, 2006.
[13] R.R. Kairi, P.V.S.N Murthy. "The effects of double dispersion on
natural convection heat and mass transfer in a non-Newtonian fluid
saturated non-Darcy porous medium", Transport Porous Media, vol.76,
pp.377-390, 2009.
[14] M.F. El-Amin, "Double dispersion effects on natural convection heat
and mass transfer in non-Darcy porous medium". Appl. Math. Comput.
vol.156,pp.1-7, 2004.
[15] AJ. Chamka, "MHD flow of a uniformly stretched vertical permeable
surface in the presence of heat generation / absorption and a chemical
reaction". Int. Comm. Heat Mass Transf. vol.30, pp. 413-422, 2003.
[16] A.S.N. Murti, P.K. Kameswaran, "Effect of radiation, chemical reaction
and double dispersion on heat and mass transfer in non-Darcy free
convective flow", Proceedings of the ASME International Mechanical
Engineering congress & Exposition., Lake Buena vista, Florida, U.S.A.
INMECE 2009-12734 DOI 10.1115,pp.681-690.
[17] Ali.J. Chamkha, "Heat and Mass Transfer for a Non-Newtonian Fluid
Flow along a Surface Embedded in a Porous Medium with Uniform
Wall Heat and Mass Fluxes and Heat Generation or Absorption", Int.
Journal of energy, 3, pp. 97-104, 2007.
[18] N. Ramachandran, B.F. Armaly, T.S. Chen, "Measurements and Predictions
of laminar mixed convection flow adjacent to a vertical surface. J.
Heat Transfer 107, pp.636-641, 1985.
[19] J.H. Merkin, T. Mahmood, "Mixed convection boundary layer similarity
solutions prescribed wall heat flux", Z. Angew. Math. Phys. 40, pp. 51-
68, 1989.
[20] A.S.N. Murti, P.K. Kameswaran, T. Poornakantha, "Radiation,chemical
reaction, double dispersion effects on heat and mass transfer in non-
Newtonian fluids", International Journal of Engineering, vol.4, pp. 13-
25, 2010.
[21] R.S. Telles, O.V. Trevisan, "Dispersion in heat and mass transfer natural
convection along vertical boundaries in porous media ". Int. J.Heat mass
transf. vol.36, pp.1357-1365,1903.
[22] O.A. Plumb, "Measurements for a natural convection flow in a vertical
square enclosure", In: Proc.1st ASME/JSME Thermal Engg. Joint
Conf.2, pp.17-21, 1983.
[23] J.T. Hong, C.L. Tien, "Analysis of thermal dispersion effect on vertical
plate natural convection in porous media, "Int. J. Heat Mass Transfer
voI.30, pp. 143-150, 1987.
[24] P.V.S.N. Murthy, P. Singh, "Thermal dispersion effects on non-Darcy
natural convection with lateral mass flux", Heat and Mass Transfer 33,
pp.1-5, 1977.
[25] E.M.A. Elbashbery, "Heat and mass transfer along a vertical plate with
variable surface tension and concentration in the presence of magnetic
field". Int. J, Eng.Sci.Math.Sci.4,pp. 515-522, 1997.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:59335", author = "A.S.N.Murti and D.R.V.S.R.K. Sastry and P.K. Kameswaran and T. Poorna Kantha", title = "Effects of Mixed Convection and Double Dispersion on Semi Infinite Vertical Plate in Presence of Radiation", abstract = "In this paper, the effects of radiation, chemical
reaction and double dispersion on mixed convection heat and mass
transfer along a semi vertical plate are considered. The plate is
embedded in a Newtonian fluid saturated non - Darcy (Forchheimer
flow model) porous medium. The Forchheimer extension and first
order chemical reaction are considered in the flow equations. The
governing sets of partial differential equations are nondimensionalized
and reduced to a set of ordinary differential
equations which are then solved numerically by Fourth order Runge–
Kutta method. Numerical results for the detail of the velocity,
temperature, and concentration profiles as well as heat transfer rates
(Nusselt number) and mass transfer rates (Sherwood number) against
various parameters are presented in graphs. The obtained results are
checked against previously published work for special cases of the
problem and are found to be in good agreement.", keywords = "Radiation, Chemical reaction, Double dispersion,
Mixed convection, Heat and Mass transfer", volume = "5", number = "12", pages = "2025-8", }
