Engineering Transactions, 33, 3, pp. 401-408, 1985

On the Convective Motion of Conducting Fluid in Magnetic Field

Ngo Zuikan
Technical University of Hanoi, Hanoi
Viet Nam

The problem of convection in a conducting, viscous and incompressible liquid subject to a magnetic field is considered. The uniqueness theorem is proved and the: structure of the fluctuation spectrum is. determined. ff is proved that the action of the magnetic field increases the stability of motion of the non-uniformly heated, conducting, viscous and incompressible liquid. This conclusion complies with the experimental and numerical results concerning the behaviour of a horizontal layer of liquid.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


G. Z. GERSHIN, E. M. MUKHOVICKII, Convective stability of incompressible fluid [in Russian], Nauka, p. 329, 1972.

S. G. KREIN, On the Junctional properties of operators in the vector analysis and hydrodynamics [in Russian] Doki. AN SSR, 93, 6, 1953.

S. G. KREIN, Differential equations in Banach spaces and their applications to hydromechanics [in Russian], Uspekhi Mat. Nauk, 12, 1, 1957.

S. G. MIKHUN, Problem of minimum o a quadratic functional, [in Russian], Gostekhizdat, 1952.

S. G. KREIN, Linem differential equations in a Banach space [in Russian], Nauka 1967.

V. I. PARASKA, On the asymptolics of eigenvalues and singular points of linem operators increasing the smoothness [in Russian], Mat. Sb., 68, 4, 1965.

I. C. GOKHBERG, M. G. KREIN, Introduction to the theory of linear operators in a Hilbert space [in Russian], Nauka, 1965.

A. G. ZARUBIN, NGO ZUI KAN, Convection in the liquid filling a cavity of a solid hody in motion [in Russian], Prikl. Mat. i Mekh., 44, 6, 1980.