Study on MHD Boundary Layer Flow of Combined Heat and Mass Transfer Over a Moving Inclined Plate in a Porous Medium With Suction and Viscous Dissipation in Presence of Hall Effect
DOI:
https://doi.org/10.18034/ei.v2i1.207Keywords:
Hall Effect, MHD, Porous media, Suction, DissipationAbstract
The Hall effects on the steady MHD boundary layer flow of an incompressible fluid of combined heat and mass transfer over a moving inclined plate in a porous media with suction and viscous dissipation has studied. An external magnetic field is applied perpendicular to the surface and the fluid motion is subjected to a uniform suction and injection. A closed form solutions of the equations governing the flow are obtained for the velocity, secondary velocity, and temperature and concentration profiles. The dimensionless governing equations are solved using R-K method along with shooting technique. The velocities, temperature and concentration profiles are presented graphically for different values of governing flow parameters. The results presented graphically illustrate that primary velocity field decrease due to increase of magnetic parameter, angle of inclination, permeability parameter and suction parameter while secondary velocity also decrease for magnetic parameter, Hall parameter and permeability parameter .Other parameters increase the velocities of the fluid flow. Temperature field increases in the presence of Magnetic parameter, Grashof number, Modified Grashof number and permeability parameter and decreases for Prandlt number and suction parameter. Also, concentration profiles decreases for increasing the values of magnetic parameter, Hall parameter, Schmid number and suction parameter but there is no effect on concentration of the remaining parameters. Also the skin friction coefficient, the local Nusselt number and the local Sherwood number are presented in Tables 1-3.
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Acharya, M., Dash, G. C. and Singh,L.P.199. Effect of chemical and thermal diffusion with Hall current on unsteady hydromagnetic flow near an infinite vertical porous plate, J. Phys. D: Appl. Phys. 28, 2455-2464.
Chakrabarti and A. S. Gupta.1979. Hydromagnetic Flow and Heat Transfer over a Stretching Sheet. Quarterly Journal of Mechanics and Applied Mathematics. Vol. 37, pp. 73-78.
Das, S.S. Sahoo, S.K. and Dash, G.C. 2006. Numerical solution of mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction. Bull. Malays Math Science Soc. (2), 29, 33-42.
Dash, G.C. and Das, S.S.1999. Hall effect on MHD flow along an accelerated porous flat plate with mass transfer and internal heat generation. Math. Engng. Indust., 7(4), 389-404.
H. I. Andersson .1992. MHD Flow of Viscoelastic Fluid past a Stretching Surface. Acta Mechanica, Vol. 95, pp.227- 230.
Hasimoto H.1957. Boundary layer growth on a flat plate with suction or injection. J. Phys. Soc. Japan 12 68-75.
Ibrahim S.Y. and Makinde O.D. 2010. Chemically reacting MHD boundary layer flow of heat and mass transfer over a moving vertical plate with suction, Scientific Research and essays Vol. 5(19), pp. 2875-2882.
Israel,C. - Cookey, Ogulu,A. and Omubo-pepple,V.B. 2003. Influence of viscous dissipation and radiation on unsteady MHD free convection flow past an infinite heated vertical plate in a porous medium with time dependent suction. Int. J. Heat Mass Transfer, 46, 2305-2311.
K. V. Prasad, D. Pal, V. Umesh and N. S. Prasanna Rao February 2010.The Effect of Variable Viscosity on MHD Viscoelastic Fluid Flow and Heat Transfer over a Stretching Sheet. Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 2, pp. 331-344.
M. A. Seddeek. 2007. Heat and Mass Transfer on a Stretching Sheet with a Magnetic Field in a Visco-Elastic Fluid Flow through a Porous Medium with Heat Source or Sink. Computational Materials Science. Vol. 38, pp. 781-787.
M.Prasanna Lakshmi, N. Bhaskar Reddy and T. Poornima.2012. MHD Boundary Layer Flow of Heat and Mass Transfer over a Moving Vertical Plate in a Porous Medium with Suction and Viscous Dissipation. International Journal of Engineering Research and Applications (IJERA), Vol. 2, Issue 5, September- October 2012, pp.149-159.
Mishra,S,P. and Dash,G.C.1974. Free convection of non-Newtonian fluids between parallel walls. Indian J. Pure Appl. Math., 5,6-12 .
Panda, J.P., Dash, G.C. and Das, S.S. 2003 .Unsteady free convective flow and mass transfer of a rotating elasticoviscous liquid through porous media past a vertical porous plate. AMSE J. Mod.Meas.Cont. B, 72(3), 47-59.
Pop,I. and Soundalgekar, V.M(1980)."Free convection flow past an accelerated infinite place". Z. Angrew, Math. Mech.60 167-168.
Raptis,A., Singh, A.K.and Rai, K.D.1987. Finite difference analysis of unsteady free convective flow through a porous medium adjacent to a semi-infinite vertical plate, Mech. Res. Comm., 14, 9-16.
S. Abel and N. Mahesha .2008. Heat Transfer in MHD Viscoelastic Fluid Flow over a Stretching Sheet with Variable Thermal Conductivity, Non-Uniform Heat Source and Radiation. Applied Mathematical Modelling, Vol. 32, pp. 1965-1983.
S. Abel, A. Joshi and R. M. Sonth .2001. Heat Transfer in a MHD Visco-Elastic Fluid over a Stretching Surface. Journal of Applied Mathematics and Mechanics,Vol. 81, pp. 691-698.
S. Abel, P. H. Veena, K. Rajgopal and V. K. Pravin . 2004. Non-Newtonian Magneto Hydrodynamic Flow over a Stretching Surface with Heat and Mass Transfer,” International Journal of Non-Linear Mechanics, Vol. 39, pp. 1067-1078.
Satter, M.A. 1994. Free convection and mass transfer flow through a porous medium past an infinite vertical porous plate with time dependent temperature and concentration, Ind. J. Pure Appl. Math., 23, 759-766.
Sharma PR and Mishra U. 2002. Effect of mass transfer in unsteady MHD flow and heat transfer past an infinite porous vertical moving plate. Indian J. Theo. Phys, India, 50, 109-115.
Sharma, P.R. and Singh, G. 2008. Unsteady MHD free convective flow and heat transfer along a vertical porous plate with variable suction and internal heat generation .Int. J. Appl. Maths& Mechanics, 4, 01-08.
Singh, A.K. and Dikshit, C.K.. 1988. Hydromagnetic flow past a continuously moving semi-infinite plate at large suction. Astrophys, Space Sci., 248, 249-256.
Singh, A.K. and Soundalgekar, V.M.1990. Transient free convection in cold water past an infinite vertical porous plate, Int. J. of Energy Res., 14, 413-420.
Singh, A.K..1983. Finite difference analysis of MHD free convective flow past an accelerated vertical porous plate ,Astrophys Space Sci., 94 ,395-400.
Soundalgekar, V.M. 1974. Free convection effects on steady MHD flow past a vertical porous plate", J. Fluid Mech. 66, 541-551.
T. Sarpakaya.1961. Flow of Non-Newtonian Fluids in Magnetic Field. AICHE Journal, Vol. 7, pp. 324-328.
Vajravelu,K..1979. Natural convection at heated semi-infinite vertical plate with internal heat generation. Acta Mech.34 153-159.
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