Chebyshev spectral method for studying the viscoelastic slip flow due to a permeable stretching surface embedded in a porous medium with viscous dissipation and non-uniform heat generation

Boundary value problems

MM Khader¹  Samy Mziou² 

[1] Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad, Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia;Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

关键词: viscoelastic fluid;    Chebyshev spectral collocation method;    porous medium;    slip velocity;   

DOI  :  10.1186/s13661-017-0764-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Herein, we study the numerical solution with the help of Chebyshev spectral collocation method for the ordinary differential equations which describe the flow of viscoelastic fluid over a stretching sheet embedded in a porous medium with viscous dissipation and slip velocity. The novel effects for the parameters which affect the flow and heat transfer, such as the Eckert number coupled with a porous medium and the velocity slip parameter, are studied. Also, the convergence analysis for the proposed method is addressed.

【 授权许可】

CC BY