| Recently,due to the large number of industrial applications such as the continuous stretching of plastic film,man-made fiber and the cooling of metal plate,the satagnation-point flow,heat and mass transfer have attracted widely attention.The paper studies stagnation-point flow,heat and mass transfer of Maxwell nanofluid.Moreover,the stagnation-point flow on the stretching sheet and the Falkner-Skan flow have been investigated.The results can provide theoretical guidance for scientific research and production practice.The first part mainly studies stagnation-point flow,heat and mass transfer of Maxwell nanofluids over a stretching surface.Under the effects of magnetic field,convective heat transfer boundary condition,thermophoresis and Brownian motion,the continuity equation,the momentum equation,the energy equation and the concentration equation are established.Through the proper similarity transformation,the nonlinear partial differential equations are transformed into coupled ordinary differential equations.Using the homotopy analysis method,the approximate analytical solutions based on the exponential functions are obtained.Finally,the effects of physical parameters on fluid flow,heat transfer and mass transfer are discussed.In the second part,the Falkner-Skan flow,heat and mass transfer problems of Maxwell nanofluids are studied.Under the effects of varying magnetic field,thermophoresis and Brownian motion,the continuity equation,the momentum equation,the energy equation and the concentration equation are established.The governing equations are transformed into ordinary differential equations by similarity transformation,and the differential transformation basis function method is used to solve them.The effects of each physical parameter on fluid flow,heat transfer and mass transfer are further analyzed. |
