INT. OCMM. HEAT MASS TRANSFER 0735-1933/85 $3.00 + .00 Vol. 12, pp. 587-596, 1985 @Pergamon Press Ltd. Printed in the United States EFFECTS OF CONVECTION HEAT AND MASS TRANSFER ON THE FLOW ABOUT AN OSCILLATING VERTICAL PLATE UNDER MAGNETIC FIELD Fue-Sang Lien Chih-Yang Wu Graduate Student Graduate Student Chab-Kuang Chen Professor Department of Mechanical Engineering National Cheng Kung University Tainan, Taiwan, R.O.C. (Ccmmmicated by J.P. Hartnett and W.J. Minkowycz) ABSTRACT An exact solution of the Stokes' problem to magnetohy- drocynamic for the flow past an infinite vertical os- cillating plate, is presented. The induced magnetic field is assumed negligible and the effects of free convection and mass transfer is taken into account. It's observed that the skin friction decreases with increasing Sc (Schmidt number), but increases with in- creasing Gr (Grashof number) or Gm (Modified Grashof number). Introduction The hydrodynamic flow of an incompressible viscous fluid past an infinite oscillating plate is of practical importance. Literaturally, the solution of the flow about an infinite ho- rizontal plate which executes linear harmonic oscillation pa- rallel to itself has first been treated by Stokes (i), and later by Raleigh (2), so this problem is known as Stokes' second problem. Furthermore, the transcient solution of the same problem was outlined by Rott (3) in 1964. The Stokes' problem for the vertical plate is also improtant. Its solu- tion was first given by Illingworth (4). Recently Soundalge- kar has considered the effects of mass transfer and free con- vection on the flow past an impulsively started vertical plate (5) and on the flow past a uniformly accelerated plate. However the above author did not consider the effects of a 587