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

Abstract

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.

Keywords

• fractional operators
• magnetic field
• oldroyd-b fluid
• velocity field
• local and non-local kernels