Ionized gas boundary layer on a porous wall of the body within the electroconductive fluid

Abstract

This paper investigates the ionized gas flow in the boundary layer, when the contour of the body within the fluid is porous. Ionized gas is exposed to the influence of the outer magnetic field induction Bm = Bm(x), which is perpendicular to the contour of the body within the fluid. It is presumed that the electroconductivity of the ionized gas is a function only of the longitudinal coordinate, i.e. ¾ = ¾(x). By means of adequate transformations, the governing boundary layer equations are brought to a generalized form. The obtained generalized equations are solved in a four-parameter localized approximation. Based on the obtained numerical solutions, diagrams of important physical values and characteristics of the boundary layer have been made. Conclusions have also been drawn

The influence of variation of electroconductivity on ionized gas flow in the boundary layer along a porous wall

“…which is in our investigations [11] called a conditional transversal velocity at the inner edge of the boundary layer when the wall of the body within the fluid is porous. For the application of the general similarity method, it is very important that the boundary conditions and the stream function on the wall of the body within the fluid, for both electroconductivity variation laws, remain the same as with the nonporous wall.…”

“…In order to enrich the literature on the boundary layer, the ionized gas electroconductivity is varied in the paper. Since the exact law on variation of the ionized gas electroconductivity is not known, by analogy with MHD boundary layer, it is first assumed to be a function of the longitudinal coordinate [11], and then to be a function of the ratio of the velocity [12] in the boundary layer and the velocity at the outer edge of the boundary layer, i.e. that it is:…”

Analysis of the axisymmetrical ionized gas boundary layer adjacent to porous contour of the body of revolution

“…(18) comes down to the system for the flow adjacent to a non-porous wall of the body of revolution [23]. Note that for j = 0, the system (18) is absolutely identical to the corresponding system for the case of planar ionized gas flow [24].…”

On the ionized gas boundary layer adjacent to the bodies of revolution in the case of variable electroconductivity

“…The transformations (7) for j = 0 were used in numerous scientific papers [3,18]. Here, r 0 and m 0 = r 0 n 0 denote known values of the density and dynamic (kinematic) viscosity at a certain point of the boundary layer, while r w and m w stand for their known values on the wall of the body of revolution.…”