ANALYSIS OF MAGNETOHYDRODYNAMIC PRESSURE IN CONDUCTING FLUIDS

The process of magnetic field influence on the movement of a viscous, conducting liquid was described by using a Maxwell-Navier-Stokes syste m of equations. By introducing vector potentials psi, xi, A and elemen ts of dimensional analysis there was educed a non-linear Poisson equat ion for a function describing pressure distribution in a flat channel. For a Poiseulle flow there was formulated a Neuman boundary condition in a generalised form as an integral identity. To solve the above pro blem, finite element approximation method was used. Appropriate numeri cal experiments were conducted. The calculation results were presented as a family of constant pressure lines and as lines of pressure value on the channel boundaries. All the experiments were performed for dif ferent values of criterion numbers: Reynolds (R-e), Reynolds magnetic (R-m) and Hartman (H-a).