Analysis of MHD thermosolutal Marangoni convection with the heat generation and a first-order chemical reaction

The paper deals with thermosolutal Marangoni convection, which can be formed with an electrically conducting fluid along a vertical surface in the presence of a magnetic field, heat generation and a first-order chemical reaction. In conformity to actuality, it is assumed that the surface tension varies linearly with both the temperature and concentration and that both interface temperature and concentration are quadratic functions of the interface arc length x. The general governing partial differential equations are converted into nonlinear ordinary differential equations using unique similarity transformations. The analytical approximate solutions of similarity equations are firstly obtained by double-parameter transformation perturbation expansion method and Padé approximants technique. The effects of Hartmann number, heat generation coefficient and the chemical reaction coefficient on the velocity, temperature and concentration profiles as well as the wall velocity are presented and discussed.

► We establish mathematical model of MHD thermosolutal Marangoni convection.
► We obtain the similarity solutions of mathematical formulation.
► Increasing M will increase temperature and concentration, but decrease velocity.
► Increasing ϕ will increase temperature and its boundary layer thickness.
► Increasing K will decrease concentration and its boundary layer thickness.