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Das, S. S.
- Magnetohydrodynamic Unsteady Convective Flow Past an Infinite Vertical Porous Flat Surface in Presence of Time Dependent Permeability and Heat Source
Abstract Views :287 |
PDF Views:66
Authors
Affiliations
1 Department of Physics, KBDAV College, Nirakarpur, Khordha-752 019 (Odisha), IN
2 Department of Physics, Nimapara (Autonomous) College, Nimapara, Puri-752 106 (Odisha), IN
3 Department of Chemistry, Christ College, Mission Road, Cuttack-753 001 (Odisha), IN
4 Department of Physics, North Orissa University, Baripada, Mayurbhanja-757 003 (Odisha), IN
1 Department of Physics, KBDAV College, Nirakarpur, Khordha-752 019 (Odisha), IN
2 Department of Physics, Nimapara (Autonomous) College, Nimapara, Puri-752 106 (Odisha), IN
3 Department of Chemistry, Christ College, Mission Road, Cuttack-753 001 (Odisha), IN
4 Department of Physics, North Orissa University, Baripada, Mayurbhanja-757 003 (Odisha), IN
Source
Indian Journal of Innovations and Developments, Vol 1, No 4 (2012), Pagination: 291-298Abstract
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 SourceFull Text
References
- 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.
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- 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.
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- 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 :329 |
PDF Views:66
Authors
Affiliations
1 Department of Physics, KBDAV College, Nirakarpur, Khordha-752 019 (Odisha), IN
2 Department of Physics, ABIT, CDA Sector-I, Bidanasi, Cuttack-753 014 (Odisha), IN
3 Department of Physics, DR Nayapalli College, Bhubaneswar-751 012 (Odisha), IN
4 Department of Physics, PN College, Bolgarh, Nayagarh-752 066 (Odisha), IN
5 Department of Physics, DAV Public School, Chandrasekharpur, Bhubaneswar-751 021 (Odisha), IN
1 Department of Physics, KBDAV College, Nirakarpur, Khordha-752 019 (Odisha), IN
2 Department of Physics, ABIT, CDA Sector-I, Bidanasi, Cuttack-753 014 (Odisha), IN
3 Department of Physics, DR Nayapalli College, Bhubaneswar-751 012 (Odisha), IN
4 Department of Physics, PN College, Bolgarh, Nayagarh-752 066 (Odisha), IN
5 Department of Physics, DAV Public School, Chandrasekharpur, Bhubaneswar-751 021 (Odisha), IN
Source
Indian Journal of Innovations and Developments, Vol 1, No 6 (2012), Pagination: 450-460Abstract
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 plateFull Text
References
- 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.