boundary layer flow beneath a uniform free stream permeable continuous moving surface in a nanofluid

the main purpose of this paper is to introduce a boundary layer analysis for the fluid flow andheat transfer characteristics of an incompressible nanofluid flowing over a permeable isothermalsurface moving continuously. the resulting system of non-linear ordinary differential equations issolved numerically using the fifth–order runge–kutta method with shooting techniques usingmatlab and maple softwares. numerical results are obtained for the velocity, temperature, andconcentration distributions, as well as the friction factor, local nusselt number, and localsherwood number for several values of the parameters, namely the velocity ratio parameter,suction/injection parameter, and nanofluid parameters. the obtained results are presentedgraphically in tabular forms and the physical aspects of the problem are discussed.