©ARC Page | 7 Effect of Magnetic Field on Marangoni Convection in Relatively Hotter or Cooler Liquid Layer

Abstract: The effect of uniform vertical magnetic field on the onset of surface tension driven convection in a relatively hotter or cooler layer of electrically conducting liquid is considered. A Fourier series method is used to obtain the characteristic value equation for the Marangoni number M. When instability sets in as stationary convection it is established numerically that both the critical Marangoni number and wave number increase with intensity of the magnetic field, irrespective of whether the liquid layer is relatively hotter or cooler. The asymptotic behavior of the critical Marangoni number for large values of the Chandrasekhar number is also obtained