Analytical Solutions of Non-Linear Equations of Power-Law Fluids of Second Grade over an Infinite Porous Plate

Mathematical and Computational Applications

Abbasbandy, Saeid¹ 

关键词: homotopy analysis method;    boundary layer;    porous plate;    non- newtonian fluids;   

DOI  :  10.3390/mca19020124

学科分类：计算数学

来源: mdpi

【 摘 要 】

The flow of an incompressible fluid of modified second grade past an infinite porous plate subject to either suction or blowing at the plate is studied. The model is a combination of power-law and second grade fluid in which the fluid may exhibit normal stresses, shear thinning or shear thickening behaviors. Equations of motion in dimensionless form are derived. Analytical solutions of the outcoming non-linear differential equations are found by using the homotopy analysis method (HAM), which is a powerful semi-analytical method. Effects of power-law index and second grade coefficient on the boundary layers are shown and solutions are contrasted with the usual second grade fluid solutions.

【 授权许可】

CC BY