MHD Effect on an Oscillatory Mixed Convective Flow Past an Infinite Vertical Porous Plate with Radiation

ABSTRACT

A parametric study to investigate the effects of magnetic field and radiation on a mixed convective flow past an infinite vertical porous plate with constant suction velocity when the free stream varies periodically with time about a steady mean is presented. A uniform magnetic field is applied normal to the plate. The Rosseland approximation is used to describe the radiative heat flux in the energy equation and the resultant set of non-dimensional equations are solved analytically by adopting regular perturbation technique. The profiles of velocity, temperature, skin-friction and nusselt number are demonstrated graphically for various values of the parameters involved in the problem and the results are physically interpreted.

A parametric study to investigate the effects of magnetic field and radiation on a mixed convective flow past an infinite vertical porous plate with constant suction velocity when the free stream varies periodically with time about a steady mean is presented. A uniform magnetic field is applied normal to the plate. The Rosseland approximation is used to describe the radiative heat flux in the energy equation and the resultant set of non-dimensional equations are solved analytically by adopting regular perturbation technique. The profiles of velocity, temperature, skin-friction and nusselt number are demonstrated graphically for various values of the parameters involved in the problem and the results are physically interpreted.

Cite this paper

N. Ahmed and S. Sinha, "MHD Effect on an Oscillatory Mixed Convective Flow Past an Infinite Vertical Porous Plate with Radiation,"*Open Journal of Fluid Dynamics*, Vol. 3 No. 4, 2013, pp. 271-277. doi: 10.4236/ojfd.2013.34034.

N. Ahmed and S. Sinha, "MHD Effect on an Oscillatory Mixed Convective Flow Past an Infinite Vertical Porous Plate with Radiation,"

References

[1] H. Alfven, “Discovery of Alfven Waves,” Nature, Vol. 150, No. 3805, 1942, pp. 405-406.

[2] T. G. Cowling, “Magneto Hydrodynamics,” Wiley Inter Science, New York, 1957.

[3] K. P. Crammer and S. L. Pai, “Magneto-Fluid Dynamics for Engineers and Applied Physics,” McGraw Hill book Co., New York, 1978.

[4] J. A. Shercliff, “A Text Book of Magneto-Hydrodynamics,” Pergamon Press, London, 1965.

[5] V. C. A. Ferraro and C. Plumpton, “An Introduction to Magneto-Fluid Mechanics,” Clarandon Press, Oxford, 1966.

[6] N. Ahmed, “MHD Free and Forced Convection with Mass Transfer from an Infinite Vertical Porous Plate,” Journal of Energy, Heat and Mass Transfer, Vol. 32, No. 1, 2010, pp. 55-70.

[7] E. M. A. Elbashbeshy, “The Mixed Convection along a Vertical Plate Embedded in Non-Darcian Porous Medium with Suction and Injection,” Applied Mathematics and Computation, Vol. 136, No. 1, 2003, pp. 139-149. http://dx.doi.org/10.1016/S0096-3003(02)00023-1

[8] N. P. Singh and A. K. Singh, “MHD Effects on Heat and Mass Transfer in a Flow of Viscous Fluid with Induced Magnetic Field,” Indian Journal of Pure and Applied Physics, Vol. 38, No. 3, 2000, pp. 182-189.

[9] G. A. Gregantopoulos, J. Koullias, C. L. Goudas and C. Courogenis, “Free Convection and Mass Transfer Effects on the Hydromagnetic Oscillatory Flow Past an Infinite Vertical Porous Plate,” Astrophysics and Space Science, Vol. 74, No. 2, 1981, pp. 357-389. http://dx.doi.org/10.1007/BF00656444

[10] M. A. Hussain and H. S. Takhar, “Radiation Effect on Mixed Convection along a Vertical Plate with Uniform Surface Temperature,” Heat Mass Transfer, Vol. 31, No. 4, 1996, pp. 243-248. http://dx.doi.org/10.1007/BF02328616

[11] N. Ahmed and H. K. Sarmah, “The Radiation Effect on a Transient MHD Flow with Mass Transfer Past an Impulsively Fixed Infinite Vertical Plate,” International Journal of Applied Mathematics and Mechanics, Vol. 5, No. 5, 2009, pp. 87-98.

[12] V. Rajesh and S. V. K. Varma, “Radiation Effects on MHD Flow through a Porous Medium with Variable Temperature or Variable Mass Diffusion,” International Journal of Applied Mathematics and Mechanics, Vol. 6, No. 11, 2010, pp. 39-57.

[13] N. Ahmed, S. Sinha and S. Talukdar, “Dufour Effect on a Transient MHD Flow Past a Uniformly Moving Porous Plate with Heat Sink,” Advances and Applications in Fluid Mechanics, Vol. 13, No. 1, 2013, pp. 1-24.

[14] M. A. Mansour, “Radiative and Free-Convection on the Oscillatory Flow Past a Vertical Plate,” Astrophysics and Space Science, Vol. 166, No. 2, 1990, pp. 269-275.

[1] H. Alfven, “Discovery of Alfven Waves,” Nature, Vol. 150, No. 3805, 1942, pp. 405-406.

[2] T. G. Cowling, “Magneto Hydrodynamics,” Wiley Inter Science, New York, 1957.

[3] K. P. Crammer and S. L. Pai, “Magneto-Fluid Dynamics for Engineers and Applied Physics,” McGraw Hill book Co., New York, 1978.

[4] J. A. Shercliff, “A Text Book of Magneto-Hydrodynamics,” Pergamon Press, London, 1965.

[5] V. C. A. Ferraro and C. Plumpton, “An Introduction to Magneto-Fluid Mechanics,” Clarandon Press, Oxford, 1966.

[6] N. Ahmed, “MHD Free and Forced Convection with Mass Transfer from an Infinite Vertical Porous Plate,” Journal of Energy, Heat and Mass Transfer, Vol. 32, No. 1, 2010, pp. 55-70.

[7] E. M. A. Elbashbeshy, “The Mixed Convection along a Vertical Plate Embedded in Non-Darcian Porous Medium with Suction and Injection,” Applied Mathematics and Computation, Vol. 136, No. 1, 2003, pp. 139-149. http://dx.doi.org/10.1016/S0096-3003(02)00023-1

[8] N. P. Singh and A. K. Singh, “MHD Effects on Heat and Mass Transfer in a Flow of Viscous Fluid with Induced Magnetic Field,” Indian Journal of Pure and Applied Physics, Vol. 38, No. 3, 2000, pp. 182-189.

[9] G. A. Gregantopoulos, J. Koullias, C. L. Goudas and C. Courogenis, “Free Convection and Mass Transfer Effects on the Hydromagnetic Oscillatory Flow Past an Infinite Vertical Porous Plate,” Astrophysics and Space Science, Vol. 74, No. 2, 1981, pp. 357-389. http://dx.doi.org/10.1007/BF00656444

[10] M. A. Hussain and H. S. Takhar, “Radiation Effect on Mixed Convection along a Vertical Plate with Uniform Surface Temperature,” Heat Mass Transfer, Vol. 31, No. 4, 1996, pp. 243-248. http://dx.doi.org/10.1007/BF02328616

[11] N. Ahmed and H. K. Sarmah, “The Radiation Effect on a Transient MHD Flow with Mass Transfer Past an Impulsively Fixed Infinite Vertical Plate,” International Journal of Applied Mathematics and Mechanics, Vol. 5, No. 5, 2009, pp. 87-98.

[12] V. Rajesh and S. V. K. Varma, “Radiation Effects on MHD Flow through a Porous Medium with Variable Temperature or Variable Mass Diffusion,” International Journal of Applied Mathematics and Mechanics, Vol. 6, No. 11, 2010, pp. 39-57.

[13] N. Ahmed, S. Sinha and S. Talukdar, “Dufour Effect on a Transient MHD Flow Past a Uniformly Moving Porous Plate with Heat Sink,” Advances and Applications in Fluid Mechanics, Vol. 13, No. 1, 2013, pp. 1-24.

[14] M. A. Mansour, “Radiative and Free-Convection on the Oscillatory Flow Past a Vertical Plate,” Astrophysics and Space Science, Vol. 166, No. 2, 1990, pp. 269-275.