Analysis method 1 Heat and mass transfer 1 Homotopy Analysis Method 1 Homotopy analyse method 1 Homotopy analysis 1 MHD 1 Magnetic-field 1 Magnetohydrodynamics 1 Mass transfer 1 Navier Stokes equations 1 Ordinary differential equations 1 Reynold number 1 Reynolds number 1 Time dependent 1 Time dependent squeeze phenomenon 1 Variable magnetic filed 1 Viscosity 1 Viscous flow 1 Viscous fluids 1 heat and mass transfer 1 time dependent squeeze phenomenon 1 variable magnetic filed viscous fluid 1