Numerical Analysis of Stagnation Point Nonlinear Convection Flow Through Porous Medium over a Shrinking Sheet

• Published in: International journal of applied and computational mathematics Vol. 3; no. 2; pp. 971 - 985
• Main Authors: Kumar, Rakesh, Sood, Shilpa
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.06.2017; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied mathematics; Boundary layer equations; Computational mathematics; Computational Science and Engineering; Convection; Differential equations; Finite difference method; Fluid flow; Incompressible flow; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nuclear Energy; Numerical analysis; Operations Research/Decision Theory; Original Paper; Parameters; Porous media; Skin friction; Stagnation point; Theoretical; Viscous fluids; Wall temperature; Dual solution; Stagnation point flow; Nonlinear convection; Shrinking sheet; Porous medium
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-016-0150-2

The present paper examines the effect of nonlinear convection on the stagnation point flow of an incompressible viscous fluid over a shrinking sheet embedded in porous medium. The governing boundary layer equations are transformed into ordinary differential equations using the similarity transformations. The reduced equations are then solved numerically using the implicit finite difference scheme also known as Keller box method. The physical features of the associated flow parameters are analyzed with the help of graphs and tables. The skin friction and wall temperature gradient are also calculated and discussed. It is found that the solution range increases significantly with nonlinear convection and porous medium parameters.