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

Abstract

This paper investigates ionized gas flow in the boundary layer when its electroconductivity is varied. The flow is planar and the contour is porous. At first, it is assumed that the ionized gas electroconductivity σ depends only on the longitudinal variable. Then we adopt that it is a function of the ratio of the longitudinal velocity and the velocity at the outer edge of the boundary layer. For both electroconductivity variation laws, by application of the general similarity method, the governing boundary layer equations are brought to a generalized form and numerically solved in a four-parametric three times localized approximation. Based on many tabular solutions, we have shown diagrams of the most important nondimensional values and characteristic boundary layer functions for both of the assumed laws. Finally, some conclusions about influence of certain physical values on ionized gas flow in the boundary layer have been drawn.

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

“…Loitsianskii's method was applied to problems of the dissociated gas flow in the boundary layer [5,6]. Saljnikov's version was used for the temperature boundary layer [7,8], the MHD boundary layer theory [9][10][11], and for solution of the dissociated and ionized gas flow in the boundary layer [12][13][14][15][16]. In this paper, Saljnikov's version of the general similarity method has been applied.…”

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

“…Later, investigators of Belgrade School of Boundary Layer used Saljnikov's version of the boundary layer theory to solve practical problems of flow in the temperature and magnetohydrodynamics (MHD) boundary layers [5,6]. This version was also used for solution of planar dissociated and ionized gas flow [7][8][9][10][11]. In this paper, Saljnikov's version of the general similarity method is applied.…”

Investigation of the ionized gas flow adjacent to porous wall in the case when electroconductivity is a function of the longitudinal velocity gradient

“…Bori~i} et al [8][9][10] and Ivanovi} [11] stud ied MHD bound ary layer on a non-po rous and po rous con tour of the body within the fluid and tried to find the so-called auto-model so lu tion. The ionized gas flow in the bound ary layer ad ja cent to both non-po rous body [12,13] and po rous body [14][15][16][17] of an ar bi trary shape were also stud ied for dif fer ent electroconductivity vari a tion laws.…”