study of solute transfer in the presence of williamson fluid over exponentially stretching surfaces

The study finds the mass transfer properties of williamson fluid through permeable exponential stretched surfaces with slip boundary conditions. the two-dimensional flow model of williamson fluid, along with boundary layer equations and mass transfer, are considered in the present paper. mass transfer characteristics are studied for two instances, i.e., for prescribed exponential order surface concentration (pesc) and prescribed exponential order mass flux (pemf). similar variables are adapted to simplify the non-linear partial differential equations to ordinary differential equations, and finally, the resultant equations are resolved numerically. the physical characteristics of the flow model are evaluated graphically, and correlation with the literature reveals a satisfactory improvement in the current results.