MHD Oldroyd-B Fluid with Slip Condition in view of Local and ‎Nonlocal Kernels

Journal of Applied and Computational Mechanics

Muhammad Bilal Riaz¹  Imran Siddique¹  Syed Tauseef Saeed²  Abdon Atangana³ 

[1] Department of Mathematics, University of Management and Technology, Lahore, 54000, Pakistan;Department of Science & Humanities, National University of Computer and Emerging Sciences, Lahore Campus, 54000, Pakistan;Institute for Groundwater Studies (IGS), University of the Free State, Bloemfontein, 9301, South Africa;

关键词: fractional operators;    magnetic field;    oldroyd-b fluid;    velocity field;    local and non-local kernels;   

DOI  :  10.22055/jacm.2020.34919.2511

来源: DOAJ

【 摘 要 】

We examine the velocity field of an incompressible Oldroyd-B fluid over a horizontal plate of continual length in a permeable medium with magnetohydrodynamics effect. Firstly, the results for the dimensionless classical model (governing equation) have been studied analytically then the study is extended for different fractional operators. The relations to determine the velocity fields of this problem are found by Laplace transformation and different numerical inversion algorithms. The impact of physical parameters on velocity profiles is analyzed graphically for integer and non-integer models. Non-integer operators are used to analyzing the impact of fractional parameters on the fluid curves of the fluid.

【 授权许可】

Unknown