Numerical Simulation of Biomagnetic Fluid Flow in an Oscillating Lid Driven Cavity

摘要

The fundamental problem of biomagnetic fluid dynamics in a lid driven cavity is numerically studied. The flows are driven by the top sliding wall, which executes sinusoidal oscillations. Numerical solutions are acquired by solving a coupled and non linear system of PDEs, with their appropriate boundary conditions and by using a finite differences numerical technique based on simple algorithm. Results are presented for wide ranges of principal physical parameters, i.e., Re, the Reynolds number, Mn_F, the magnetic number and ω, the non-dimensional frequency of the lid oscillation. Comprehensive details of the flow structure are presented. Results concerning the velocity and skin friction indicate that the presence of the magnetic field influence the flow field considerably.