Abstract
The consideration of thermo-capillary or Marangoni convection developed through surface tension continuously remains a focus of immense importance for engineers and scientists. This is due to their ample utilizations that is, thin films spreading, welding, nuclear reactors, materials science, semiconductor processing, crystal growth melts, etc. Having such usefulness of Marangoni convection in view, our objective here is to formulate the non-Newtonian rheological Williamson liquid capturing mixed convection and transpiration aspects. Modeling is done considering radiative magnetohydrodynamic flow. Interface temperature of both dust particles and fluid is selected as a nonlinear (quadratic) function of interface arc-length. Resulting systems are rendered to ordinary problems via opposite variables. Computational analysis is performed considering finite difference scheme. Features of embedded factors against nondimensional quantities are elaborated graphically.