Semi analytical expressions of a non-linear boundary value problem for free stream MHD flow with the effect of velocity slip condition

  • R.R. Subanya Department of Mathematics, \\E.M.G Yadava Women's College, Madurai, Tamil Nadu, India.
  • Ananthaswamy Vembu The Madura College, Madurai, Tamil Nadu, India.
  • Seenith Sivasundaram Department of Mathematics, \\College of Science, Engineering and Mathematics, Daytona Beach, FL 32114, USA


 The current study deals with the boundary layer flow of a magnetohydrodynamically conducting fluid through a porous material together with the effect of heat generation and velocity characteristics. The process of heat transfer, the effects of velocity slip and thermal slip on velocity and temperature profiles are also discussed. Using suitable simulation, the model governing system of partial differential equations are converted into nonlinear ordinary differential equations with required boundary conditions. The Modified Homotopy analysis method is used to solve the reduced ordinary differential equations analytically. The dimensionless characteristics, such as magnetic parameter, grashof number, Heat production parameter, Prandtl number, and velocity slip parameter, are found to have a substantial impact on the outcomes. Graphs and tables depict the impact of relevant physical quantities on the velocity and temperature profile.