Magnetohydrodynamics and Radiation Effects on the Flow due to Moving Vertical Porous Plate with Variable Temperature
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 83 - Trang 327-331 - 2013
Tóm tắt
The combined effects of magnetohydrodynamics and thermal radiations on unsteady flow of an electrically conducting fluid past an impulsively started infinite vertical porous plate with variable temperature is investigated. A magnetic field of uniform strength is applied along an axis perpendicular to the plate. The plate temperature is raised linearly with time. An exact solution is obtained by Laplace transformation technique. The dependence of the amplitude of velocity and skin-friction on various parameters are discussed in detail with the help of graphs.
Tài liệu tham khảo
Stokes GG (1851) On the effect of the internal friction of fluids on the motion of pendulums. Camb Phil Trans 9:8
Georgantopoulous GA (1979) Effects of free-convection on the hydromagnetic accelerated flow past a vertical porous limiting surface. Astrophys Space Sci 65:433–441
Kafousias NG, Massalas CV, Raptis AA, Tzivanidis GL, Georgantopoulous GA, Goudas GL (1980) Free convection effects on the hydromagnetic oscillatory flow in the stokes problem past an infinite porous vertical limiting surface with constant suction-1. Astrophys Space Sci 86:99–110
Ajay Kumar Singh (2008) Hydromagnetic mixed convection flow and heat transfer with periodic suction velocity, permeability and heat sink. J Energy Heat Mass Transf 30:21–43
Muthucumaraswamy R, Kulandaivel T (2008) Radiation effects on moving vertical plate with variable temperature and uniform mass diffusion. J Energy Heat Mass Transf 30:79–88
Singh KD, Garg BP (2010) Exact solution of an oscillatory free-convective MHD flow in a rotating porous channel with radiative heat. Proc Natl Acad Sci 80A:81–89
Singh KD, Garg BP (2009) Effects of Hall current on free-convective flow past an accelerated vertical porous plate in a rotating system with heat source/sink. J Rajasthan Acad Phy Sci 8(2):191–202
Gupta AS (1969) Combined free and forced convection effects on the magnetohydrodynamic flow through a channel. ZAMP 20:506–513
Soundalgekar VM (1974) Free convection effects on steady MHD flow past a vertical porous plate. J Fluid Mech 66:541–551
Mishra SP, Mudili JC (1976) Combined free and forced convection effects on the magnetohydrodynamic flow through a porous channel. Proc Indian Acad Sci 84-A:257–272
Mahendra Mohan (1977) Combined effects of free and forced convection on magnetohydrodynamic flow in a rotating channel. Proc Indian Acad Sci 84:383–401
Sarojamma G, Krishna DV (1981) Transient hydromagnetic convective flow in a rotating channel with porous boundaries. Acta Mech 40:277–288
Singh KD, Garg BP (2009) Radiation effects on unsteady MHD free convective flow through porous medium past a vertical porous plate. Proc Indian Natl Sci Acad 75(1):41–48
Garg BP, Singh KD, Reena Pathak (2011) An analysis of radiative, free-convective and mass transfer flow past an accelerated vertical plate in the presence of transverse magnetic field. J Rajasthan Acad Phy Sci 10(1):1–10
Moreau R (1990) Magnetohydrodynamics. Kluwer Academic Publishers, Dordrecht
Cogley AC, Vinvent WG, Giles ES (1968) Differential approximation for radiative transfer in a non-gray gas near equilibrium. Am Inst Aeronaut astronaut 6:551–553
Houghton EL, Boswell RP (1969) Further aerodynamics for engineering students. Edward Arnold Ltd, London 252
Abramowitz BM, Stegun IA (1964) Handbook of mathematical functions with formulas, graphs and mathematical tables. U.S. Govt. Printing Office, Washington, DC