Effects of Variable Viscosity on Hydromagnetic Boundary Layer along a Continuously Moving Vertical Plate in the Presence of Radiation and Chemical Reaction

Utpal Jyoti Das

.

DOI: 10.4236/jemaa.2013.51002                

Abstract

The flow and heat transfer of an incompressible viscous electrically conducting fluid over a continuously moving vertical infinite plate with uniform suction and heat flux in porous medium, taking account of the effects of the variable viscosity, has been considered. The solutions are obtained for velocity, temperature, concentration and skin friction. It is found that the velocity increases as the viscosity of air or porous parameter increases whereas velocity decreases when Schmidt number increases. The skin friction coefficient is computed and discussed for various values of the parameters.

Keywords

MHD; Variable Viscosity; Radiation; Porous Medium; Schmidt Number

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	B. C. Sakiadis, “Boundary Layer Behaviour on Continuous Solid Surface: II. The Boundary Layer on a Continuous Flat Surface,” AIChE Journal, Vol. 7, No. 2, 1961, pp. 221-225. doi:10.1002/aic.690070211
[2]	F. K. Tsou, F. M. Sparrow and R. J. Golldstien, “Flow and Heat Transfer in the Boundary Layer in Continuous Moving Surface,” International Journal of Heat and Mass Transfer, Vol. 10, No. 2, 1967, pp. 219-235. doi:10.1016/0017-9310(67)90100-7
[3]	L. E. Erickson, L. T. Fan and V. G. Fox, “Heat and Mass Transfer on a Moving Continuous Flat Plate with Suction and Injection,” Industrial & Engineering Chemistry Fundamentals, Vol. 5, No. 1, 1966, pp. 19-25. doi:10.1021/i160017a004
[4]	L. J. Crane, “Flow Past a Stretching Plate,” Zeitschrift für Angewandte Mathematik und Physik, Vol. 21, No. 4, 1970, pp. 645-647. doi:10.1007/BF01587695
[5]	B. Rajesh Kumar, D. R. S. Raghuraman and R. Muthucumaraswamy, “Hydromagnetic Flow and Heat Transfer on a Continuously Moving Vertical Surface,” Acta Mechanica, Vol. 153, No. 3-4, 2002, pp. 249-253. doi:10.1007/BF01177455
[6]	P. R. Sharma and P. Mathur, “Steady Laminar Free Convection Flow of an Electrically Conducting Fluid along a Porous Hot Vertical Plate in the Presences of Heat Source/ Sink,” Indian Journal of Pure and Applied Mathematics, Vol. 26, No.11, 1995, pp. 1125-1134.
[7]	A. Raptis and C. V. Massalas, “Magnetohydrodynamic Flow Past a Plate by the Presence of Radiation,” Heat and Mass Transfer, Vol. 34, No. 2-3, 1998, pp. 107-109. doi:10.1007/s002310050237
[8]	A. J. Chamkha, “Thermal Radiation and Buoyancy Effects on Hydromagnetic Flow over an Accelerating Permeable Surface with Heat Source or Sink,” International Journal of Engineering Science, Vol. 38, No. 15, 2000, pp. 1699-1712. doi:10.1016/S0020-7225(99)00134-2
[9]	A. Raptis, C. Perdikis and H. S. Takhar, “Effect of Thermal Radiation on MHD Flow,” Applied Mathematics and Computation, Vol. 153, No. 15, 2004, pp. 645-649. doi:10.1016/S0096-3003(03)00657-X
[10]	Md. Anwar Hossain and Md. S. Munir, “Mixed Convection Flow from a Vertical Plate with Temperature Dependent Viscosity,” International Journal of Thermal Sciences, Vol. 39, No. 2, 2000, pp. 173-183.
[11]	T. Fang, “Influences of Fluid Property Variation on the Boundary Layers of a Stretching Surface,” Acta Mechanica, Vol. 171, No. 1-2, 2004, pp. 105-118. doi:10.1007/s00707-004-0125-y
[12]	M. Anwar Hossain, K. Khanafer and K. Vafai, “The Effect of Radiation on Free Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate,” International Journal of Thermal Sciences, Vol. 40, No. 2, 2001, pp. 115-124. doi:10.1016/S1290-0729(00)01200-X
[13]	M. A. A. Mahmoud, “Variable Viscosity Effects on Hydromagnetic Boundary Layer Flow along a Continuously Moving Vertical Plate in the Presence of Radiation,” Applied Mathematical Sciences, Vol. 1, No. 17, 2007, pp. 799-814.
[14]	U. N. Das, R. K. Deka and V. M. Soundalgekar, “Effect of Mass Transfer on Flow Past an Impulsively Started Vertical Plate with Constant Heat Flux and Chemical Reaction,” Forschung im Ingenieurwesen, Vol. 60, No. 10, 1994, pp. 284-287.
[15]	R. Muthucumarswamy and P. Ganesan, “Diffusion and First-Order Chemical Reaction on Impulsively Started Infinte Vertical Plate with Variable Temperature,” International Journal of Thermal Sciences, Vol. 41, No. 5, 2002, pp. 475-479. doi:10.1016/S1290-0729(02)01340-6
[16]	K. V. Prasad, S. Abel and P. S. Datti, “Diffusion of Chemically Reactive Species of a Non-Newtonian Fluid Immersed in a Porous Medium over a Stretching Sheet,” International Journal of Non-Linear Mechanics, Vol. 38, No. 5, 2003, pp. 651-657. doi:10.1016/S0020-7462(01)00122-6
[17]	A. Y. Ghaly and M. A. Seddeek, “Chebyshev Finite Difference Method for the Effect of Chemical Reaction, Heat and Mass Transfer on Laminar Flow along a Semi-Infinite Horizontal Plate with Temperature Dependent Viscosity,” Chaos, Solitons & Fractals, Vol. 19, No. 1, 2004, pp. 61-70. doi:10.1016/S0960-0779(03)00069-9
[18]	F. T. Akyildiz, H. Bellout and K. Vajravelu, “Diffusion of Chemically Reactive Species in a Porous Medium over a Stretching Sheet,” Journal of Mathematical Analysis and Application, Vol. 320, No. 1, 2006, pp. 322-339. doi:10.1016/j.jmaa.2005.06.095