Finite Element Study of Eyring-Powell Fluid Flow with Convective Boundary Conditions

The steady, laminar boundary-layer flow of an incompressible Eyring-Powell fluid is studied numerically over a horizontal flat permeable plate. A convective surface boundary condition is taken into consideration to define thermal boundary condition. The boundary-layer flow equations are reduced into the system of nonlinear, coupled, nondimensional ordinary differential equations by employing the suitable similarity transformation. This system is then solved by applying the Galerkin finite element method. The influence of the Biot number, Prandtl number, Eyring-Powell fluid parameters, and suction/injection parameter on the velocity and temperature profiles is shown graphically. The impact of physical parameters on the rate of heat transfer is shown graphically and in tabulated form. The excellent validation of the present numerical results is achieved. This study will have an important application in bearing in mechanical components for reducing the friction and cooling in rockets and jet.