Indian Journal of Innovations and Developments

Open Access Open Access  Restricted Access Subscription Access

Magneto Hydrodynamic Convective Flow and Heat Transfer Past a Vertical Porous Flat Plate in a Porous Medium with Constant Suction and Periodic Variation of Plate Temperature


Affiliations
1 Department of Physics, KBDAV College, Nirakarpur, Khordha-752 019 (Odisha), India
2 Department of Physics, ABIT, CDA Sector-I, Bidanasi, Cuttack-753 014 (Odisha), India
3 Department of Physics, DR Nayapalli College, Bhubaneswar-751 012 (Odisha), India
4 Department of Physics, PN College, Bolgarh, Nayagarh-752 066 (Odisha), India
5 Department of Physics, DAV Public School, Chandrasekharpur, Bhubaneswar-751 021 (Odisha), India
 

The objective of this paper is to analyse the unsteady magneto hydrodynamic flow of a viscous incompressible fluid past an infinite hot vertical porous plate in presence of constant suction and periodic variation of plate temperature. The governing equations of the flow field are solved employing multi-parameter perturbation technique assuming Eckert number as perturbation parameter. The effects of magnetic parameter M, Grashof number for heat transfer Gr, Eckert number Ec, Prandtl number Pr, frequency parameter ω, etc. on velocity, temperature, skin friction and heat flux are discussed with the help of figures and tables. It is observed that a growing magnetic parameter enhances the velocity of the flow field near the plate and there after the effect reverses due to the magnetic pull of the Lorentz force on the flow field. The Grashof number/permeability parameter / Eckert number has an accelerating effect on the velocity of the flow field. A growing Prandtl number / Reynolds number has a retarding effect on the temperature of the flow field at all points. The permeability parameter enhances the skin friction and decreases the magnitude of heat flux at the wall. On the other hand, the magnetic parameter enhances the skin friction as well as the magnitude of heat flux at the wall.

Keywords

Convective flow, MHD, Porous medium, Unsteady, Variable temperature, Vertical plate
User
Notifications

  • Das SS, Biswal SR, Das JK and Sahoo SK (2007a) Finitedifference analysis of unsteady mixed convective HD flow and heat transfer past an accelerated vertical porous flat plate with suction. JP J. Heat Mass Transfer. 1(3), 271-283.

  • Das SS, Maity M and Panda JP (2010) Hydromagnetic free convective mass transfer flow along a vertical porous plate embedded in a porous medium with suction and periodic variation of plate temperature. JP J Heat and Mass Transfer. 4 (2), 171-187.

  • Das SS, Mitra M, Panda JP and Satpathy PR (2007b) Unsteady free convective MHD flow and heat transfer of a second order fluid between two heated vertical plates through a porous medium. J. Energy, Heat mass transfer. 29, 137-151.

  • Das SS, Parija S, Mohanty S and Maity M (2012) Magnetohydrodynamic unsteady convective flow past an infinite vertical porous flat surface in presence of time dependent permeability and heat source. Ind J Innov Develop. 1(4), 291-298.

  • Das SS, Satapathy A, Das JK and Panda JP (2009) Mass transfer effects on MHD flow and heat transfer past a vertical porous plate through a porous medium under oscillatory suction and heat source. Int .J. Heat Mass Transfer. 52, 5962-5969.

  • Das UN, Deka RK and Soundalgekar VM (1999) Transient free convection flow past an infinite vertical plate under oscillatory suction velocity. Ind. J. Pure Appl. Math. 34(3), 429-442.

  • Elghabaty SS (1988) Unsteady MHD flow of a visco elastic fluid past an infinite porous plate with oscillating temperature. Astrophys Space Sci. 141(2), 193-198.

  • Gokhale MY (1991) Magnetohydrodynamic transientfree convection past a semiinfinite vertical plate with constant heat flux. Canad. J. Phys. 69, 1451– 1453.

  • Grubka LJ and Bobba KM (1985) Heat transfer characteristics of a continuous stretching surface with variable temperature. ASME J. Heat Transfer. 107, 248– 250.

  • Mansutti D, Pontrelli G and Rajagopal KR (1993) Steady flows of non-Newtonian fluids past a porous plate with suction or injection. Int. J. Num. Methods Fluids. 17, 927-941.

  • Muthukumaraswamy R and Ganesan P (1998) Unsteady flow past an impulsively started vertical plate with heat and mass transfer. Heat Mass Transfer. 34, 187–193.

  • Ogulu A and Prakash J (2006) Heat transfer to unsteady magneto-hydrodynamic flow past an infinite vertical moving plate with variable suction. Phys. Scr. 74(2), 232-238.

  • Pathal G, Maheswari C and Tak SS (2005) Unsteady mass, momentum and heat transfer in MHD free convection flow past along a vertical plate suddenly set in motion. Bull. Pure Appl. Sci.E. 24(1), 173-183.

  • Raptis A and Singh AK (1983) MHD free convection flow past an accelerated vertical plate. Int. Comm.Heat Mass Transfer. 10, 313-321.

  • Raptis AA and Kafousias N (1982) Heat transfer in flow through a porous medium bounded by an infinite vertical plate under the action of a magnetic field. Int. J. Energy Res. 6, 241-245.

  • Singh AK, Singh AK and Singh NP (2003) Heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity. Ind. J. Pure Appl. Math. 34(3), 429-442.

  • Soundalgekar VM (1974) Free convection effects on steady MHD flow past a vertical porous plate. J. Fluid Mech. 66, 541-551.

  • Soundalgekar VM (1981) Finite difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate. Int. J. Engrg. Sci. 19, 757– 770.

  • Takhar HS, Ganesan P, Ekambavahar K and Soundalgekar VM (1997) Transient free convection past a semi infinite vertical plate with variable surface temperature. Int. J. Numer. Methods Heat Fluid Flow. 7, 280–296.


Abstract Views: 353

PDF Views: 66




  • Magneto Hydrodynamic Convective Flow and Heat Transfer Past a Vertical Porous Flat Plate in a Porous Medium with Constant Suction and Periodic Variation of Plate Temperature

Abstract Views: 353  |  PDF Views: 66

Authors

S. S. Das
Department of Physics, KBDAV College, Nirakarpur, Khordha-752 019 (Odisha), India
A. Satapathy
Department of Physics, ABIT, CDA Sector-I, Bidanasi, Cuttack-753 014 (Odisha), India
R. K. Tripathy
Department of Physics, DR Nayapalli College, Bhubaneswar-751 012 (Odisha), India
P. K. Mishra
Department of Physics, PN College, Bolgarh, Nayagarh-752 066 (Odisha), India
R. K. Padhy
Department of Physics, DAV Public School, Chandrasekharpur, Bhubaneswar-751 021 (Odisha), India

Abstract


The objective of this paper is to analyse the unsteady magneto hydrodynamic flow of a viscous incompressible fluid past an infinite hot vertical porous plate in presence of constant suction and periodic variation of plate temperature. The governing equations of the flow field are solved employing multi-parameter perturbation technique assuming Eckert number as perturbation parameter. The effects of magnetic parameter M, Grashof number for heat transfer Gr, Eckert number Ec, Prandtl number Pr, frequency parameter ω, etc. on velocity, temperature, skin friction and heat flux are discussed with the help of figures and tables. It is observed that a growing magnetic parameter enhances the velocity of the flow field near the plate and there after the effect reverses due to the magnetic pull of the Lorentz force on the flow field. The Grashof number/permeability parameter / Eckert number has an accelerating effect on the velocity of the flow field. A growing Prandtl number / Reynolds number has a retarding effect on the temperature of the flow field at all points. The permeability parameter enhances the skin friction and decreases the magnitude of heat flux at the wall. On the other hand, the magnetic parameter enhances the skin friction as well as the magnitude of heat flux at the wall.

Keywords


Convective flow, MHD, Porous medium, Unsteady, Variable temperature, Vertical plate

References