Effect of MHD and Mass Transpiration on a Viscous Liquid Flow past Porous Stretching Sheet with Heat Transfer

Boundary layer flows of an incompressible conductive fluid past a porous stretching sheet are widely investigated in connection with their applications in chemical and engineering processes involving stretchable materials, like cooling of a molten liquid, extrusion processes, manufacturing of polymer fibers, etc. The flow problem is mathematically modeled into nonlinear partial differential equations governing the momentum and heat transfer in the boundary layer, which are transformed into nonlinear ordinary differential equations via similarity transformations. The analytical solutions for the energy equations are found through transformation of the governing thermal boundary layer problems into confluent hypergeometric differential equations. The temperature profile is analyzed for two types of boundary heating processes: with a prescribed surface temperature (PST) and with a prescribed heat flux (PHF), which are quadratic in nature. The effects of the viscous dissipation term or Eckert number, Prandtl number, inverse Darcy number, and Chandrasekhar number on velocity profiles are analyzed graphically using various plots.