Indian Journal of Innovations and Developments

Open Access Open Access  Restricted Access Subscription Access

Magnetohydrodynamic Unsteady Convective Flow Past an Infinite Vertical Porous Flat Surface in Presence of Time Dependent Permeability and Heat Source


Affiliations
1 Department of Physics, KBDAV College, Nirakarpur, Khordha-752 019 (Odisha), India
2 Department of Physics, Nimapara (Autonomous) College, Nimapara, Puri-752 106 (Odisha), India
3 Department of Chemistry, Christ College, Mission Road, Cuttack-753 001 (Odisha), India
4 Department of Physics, North Orissa University, Baripada, Mayurbhanja-757 003 (Odisha), India
 

This paper analyzes the Magnetohydrodynamic unsteady convective flow of a viscous incompressible electrically conducting fluid past a vertical porous plate through a porous medium in presence of time dependent permeability, oscillatory suction and heat source. Employing perturbation technique, the solutions for velocity and temperature field are obtained. The effects of the pertinent parameters on velocity and temperature distribution of the flow field are studied analytically and discussed with the aid of figures for Grashof number, Gr > 0 corresponding to cooling of the plate. It is of interest to note that a growing magnetic parameter decelerates the velocity of the flow field at all points due to the action of Lorentz force on the flow field and an increase in heat source parameter leads to enhance the velocity of the flow field at all points. The effect of growing Grashof number for heat transfer/permeability parameter is to accelerate the velocity of the flow field in presence of heat sink while the effect reverses in presence of heat source, while the effect of increasing Prandtl number is to diminish the temperature of the flow field at all points.

Keywords

Magnetohydrodynamic Flow, Free Convection, Time Dependent Permeability, Suction, Heat Source
User
Notifications

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

  • Das SS and Mitra M (2009) Unsteady mixed convective MHD flow and mass transfer past an accelerated infinite vertical plate with suction. Indian J. Sci. Technol. 2(5), 18-22.

  • Das SS and Tripathy UK (2010) Effect of periodic suction on three dimensional flow and heat transfer past a vertical porous plate embedded in a porous medium. Int. J. Energy Environ. 1(5), 757-768.

  • Das SS, Tripathy UK and Dash BK (2011) Simultaneous heat and mass transfer effects on natural convection flow of a viscous incompressible fluid bounded by an oscillating porous plate in the slip flow regime. Mod. Meas. Cont. B. 80(2), 43-52.

  • Das SS, Parija S, Padhy RK and Sahu M (2012) Natural convection unsteady Magnetohydrodynamic mass transfer flow past an infinite vertical porous plate in presence of suction and heat sink. Int. J. Energy Environ. 3(2), 209-222.

  • Gersten K and Gross JF (1974) Flow and heat transfer along a plane wall with periodic suction, Z. Angew. Math. Phys. 25(3), 399-408.

  • Hayat T, Asghar S and Siddiqui AM (1998) Periodic unsteady flows of a non-Newtonian fluid. Acta Mech. 131(3-4), 169-175.

  • Jha BK and Ravindra P (1991) MHD free convection and mass transfer flow through a porous medium with heat source. Astrophys. Space Sci., 181, 117-123.

  • Kim YJ (2000) Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction. Int. J. Engng. Sci. 38(8), 833-845.

  • Raptis AA (1986) Flow through a porous medium in the presence of a magnetic field. Int. J. Energy Res. 10, 97- 100.

  • Singh AK (1983) Mass transfer effects on unsteady MHD free convective flow past an infinite vertical porous plate with variable suction. Astrophys. Space Sci., 91, 57-61.

  • Singh P and Gupta CB (2005) MHD free convective flow of viscous fluid through a porous medium bounded by an oscillating porous plate in slip flow regime with mass transfer. Ind. J. Theo. Phys. 53(2), 111-120.

  • 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 and Haldavnekar DD (1973) MHD free convective flow in a vertical channel. Acta. Mech. 16, 77-91.

  • Sparrow EM and Cess RD (1961) The effect of Magnetic field on free convection heat transfer. Int. J. Heat and Mass Transfer, 3, 267.

  • Yamamoto K and Iwamura N (1976) Flow with convective acceleration through a porous medium. Engng. Math., 10, 41-54.


Abstract Views: 316

PDF Views: 66




  • Magnetohydrodynamic Unsteady Convective Flow Past an Infinite Vertical Porous Flat Surface in Presence of Time Dependent Permeability and Heat Source

Abstract Views: 316  |  PDF Views: 66

Authors

S. S. Das
Department of Physics, KBDAV College, Nirakarpur, Khordha-752 019 (Odisha), India
S. Parija
Department of Physics, Nimapara (Autonomous) College, Nimapara, Puri-752 106 (Odisha), India
S. Mohanty
Department of Chemistry, Christ College, Mission Road, Cuttack-753 001 (Odisha), India
M. Maity
Department of Physics, North Orissa University, Baripada, Mayurbhanja-757 003 (Odisha), India

Abstract


This paper analyzes the Magnetohydrodynamic unsteady convective flow of a viscous incompressible electrically conducting fluid past a vertical porous plate through a porous medium in presence of time dependent permeability, oscillatory suction and heat source. Employing perturbation technique, the solutions for velocity and temperature field are obtained. The effects of the pertinent parameters on velocity and temperature distribution of the flow field are studied analytically and discussed with the aid of figures for Grashof number, Gr > 0 corresponding to cooling of the plate. It is of interest to note that a growing magnetic parameter decelerates the velocity of the flow field at all points due to the action of Lorentz force on the flow field and an increase in heat source parameter leads to enhance the velocity of the flow field at all points. The effect of growing Grashof number for heat transfer/permeability parameter is to accelerate the velocity of the flow field in presence of heat sink while the effect reverses in presence of heat source, while the effect of increasing Prandtl number is to diminish the temperature of the flow field at all points.

Keywords


Magnetohydrodynamic Flow, Free Convection, Time Dependent Permeability, Suction, Heat Source

References