Analysis of Heat Transfer MHD Flow of Upper Convected Maxwell Nano Fluid Between a Porous and Moving Plate with Radiation Effect

The paper explores the flow behaviour of an upper convected Maxwell (UCM) nanofluid situated between a porous stationary and moving plate. The governing equations of momentum, energy and concentration incorporating the effects of porous medium and nanoparticle concentration are derived. The governing equations of the flow are transformed into a set of non-linear ordinary differential equations (NODEs) with associated boundary conditions by using similarity transformations. The Optimal Homotopy Analysis Method (OHAM) is implemented for the solutions of coupled NODEs with similarity boundary conditions. The important physical parameters of the fluid flow, viz velocity, temperature, concentration and heat and mass transfer rates are illustrated through graphs. The physical problem involving parameters such as porosity, fluid relaxation time, permeability of the porous medium, thermophoresis parameter, Brownian motion parameters and Schmidt number on nanoparticle volume fraction is analysed. Temperature and concentration profiles are graphically demonstrated and the velocity of moving plate is examined for the influence of temperature, velocity and nanoparticles. Comparative analysis shows good agreement between the obtained numerical results with previously reported data.