On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique

Tahera Begum; Geetan Manchanda; Arshad Khan; Naseem Ahmad

doi:10.1016/j.mex.2023.102035

On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique

MethodsX. 2023 Jan 24:10:102035. doi: 10.1016/j.mex.2023.102035. eCollection 2023.

Authors

Tahera Begum¹, Geetan Manchanda², Arshad Khan¹, Naseem Ahmad¹

Affiliations

¹ Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India.
² Department of Mathematics, Maitreyi College, University of Delhi, New Delhi 110021, India.

Abstract

In this paper, the boundary layer flow of viscous incompressible fluid over an inclined stretching plate in porous media with body force and heat transfer has been studied. To solve this problem, we develop a suitable spline method which is used to calculate the velocity function of the flow problem. We proceed as follows:•With a suitable stream function, the concerned boundary layer equation is converted into non-linear third order ordinary differential equation together with appropriate boundary conditions in an infinite domain which has been further linearized by using quasi-linearization method.•Then, we develop a non polynomial quintic spline technique which has been used to find the numerical values of the velocity function of the flow problem. The convergence analysis of the developed spline technique has been discussed.•Later, the method developed so far has been applied to solve nonlinear boundary value problem for different angles of inclination and Froude number. The values obtained so far have been used to study heat flow problem. Finally, skin friction has been discussed.

Keywords: 65D07; 65L10; 65L12; 65L20; 76D05; 80A20; Boundary layer flow; Convergence; Heat transfer; Inclined stretching sheet; Non polynomial quintic spline; Quasilinearization.