Abstract: This study investigates the effects of slip conditions and magnetic effects on the oscillatory flow of a Jeffrey fluid within an elastic tube. The perturbation method is employed to derive analytical solutions for the flow characteristics, and Gill's fourth-order method is used to solve the differential equation for the pressure numerically along with the initial conditions. The graphs illustrate how the Womersley, slip velocity, elasticity, Jeffrey, and magnetic parameters affect the mean pressure drop and modulus of wall shear stress. The results reveal that increasing the magnetic field strength and Womersley parameter, the wall shear stress rises in rigid and elastic tubes. Additionally, the slip condition modifies the velocity profile, enhancing fluid motion near the walls. The findings provide insight into the complex interplay of rheology, geometry, and magnetic forces in physiological oscillatory flows.

Keywords: Jeffrey fluid, Elasticity, Slip, Magnetic parameter, Oscillatory flow, Perturbation Scheme, Gill’s method of fourth order.

Pages: 27-42