EXACT SOLUTIONS FOR MHD NATURAL CONVECTION FLOW NEAR AN OSCILLATING PLATE EMERGED IN A POROUS MEDIUM

Authors

  • ABDULHAMEED MOHAMMED Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor Darul Ta’azim, Malaysia
  • ILYAS KHAN Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor Darul Ta’azim, Malaysia
  • SHARIDAN SHAFIE Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor Darul Ta’azim, Malaysia

DOI:

https://doi.org/10.11113/jt.v57.1517

Keywords:

Natural convection, MHD flow, porous medium, oscillating boundary, ramped wall temperature, Laplace transform

Abstract

Analytical investigation was conducted on the transient natural convection flow past an oscillating infinite vertical plate in present of magnetic field and radiative heat transfer. The classical solution of this problem for impulsively moving plate is given by Seth in [2] and is found to be a special case of the solution to be presented. The governing model equations are solved analytically with the help of Laplace transform technique. The results are expressed in terms of the velocity and temperature profiles as well as the skin-friction and Nusselt number.

References

P. Chandran, N. C. Sacheti, and A. K. Singk. 2005. Natural Convection Near a Vertical Plate with Ramped Wall Temperature. Heat Mass Transf. 41: 459-464.

G. S. Seth, MdS. Ansari and R. Nandkeolyar. 2011. MHD Natural Convection Flow with Radiative Heat Transfer Past an Impulsively Moving Plate with Ramped Wall Temperature. Heat Mass Trans. 47: 551-561.

G. S. Seth, and MdS. Ansari. 2010. MHD Natural Convection Flow Past an Impulsively Moving Vertical Plate with Ramped Wall Tempreture in the Presence of Thermal Diffusion with Heat Absortion. Int J Appl Mech Eng. 15: 199-215.

P. Ranganathan, and R. Viskanta, Mixed Convection Boundary Layer Flow Along a Vertical Surface in a Porous Medium. 1984. Numer Heat Transf. 7: 305-317.

P. Cheng, and W. J. Minkowycz,. 1977. Free Convection about a Vertical Flat Plate Embeded in a Porous Medium with Application to Heat Transfer from a Dike. J. Geophys Res. 82: 2040-2044.

A. Nakayama and H. Koyama. 1987. A General Similarity Transformation for Combined Freeand Forced Convection Flows within a Fluid Saturated Porous Medium. ASME J. Heat Transf. 109: 1041-1045.

U. N. Das , R. K. Deka, and V. W Soundalgekar. 1996. Radiation Effects on Flow Past an Impulsively Started Vertical Infinite Plate. J. Theo. Mech. 1: 111-115.

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Published

2012-02-15

Issue

Vol. 57 No. 1 (2012): Vol. 57 Special Edition 01 (March 2012)

Section

Science and Engineering

License

Copyright of articles that appear in Jurnal Teknologi belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions, or any other reproductions of similar nature.

How to Cite

EXACT SOLUTIONS FOR MHD NATURAL CONVECTION FLOW NEAR AN OSCILLATING PLATE EMERGED IN A POROUS MEDIUM. (2012). Jurnal Teknologi, 57(1). https://doi.org/10.11113/jt.v57.1517