A Legendre wavelet spectral collocation method for analysis of thermal radiation and slip in the oblique stagnation-point flow of Walters-B liquid towards a stretching surface

摘要

A spectral collocation method based on Legendre wavelet is applied to analyse the slip and radiation effects in the flow of an elastico-viscous Walters-B fluid. The fluid is assumed to impinge obliquely on a stretching surface with linear stretching velocity. The governing system of equations is converted into dimensionless ordinary differential equations by invoking suitable similarity variables. The proposed iterative spectral technique for solving governing system of initial value problems is applied for obtaining the solutions. First, we extend Legendre wavelet and Legendre-Guass collocation points are computed for a large interval. The differential equations are converted into a system of algebraic equations. The approximate solution is obtained by solving these algebraic equations. The proposed algorithm is implemented to obtain numerical results for different values of the pertinent parameters. The proposed algorithm controlled the overshooting and undershooting in velocity profiles. The presence of stretching and slip enhances the velocity and reduces the temperature of the fluid within the boundary layer.