## THERMAL SCIENCE

International Scientific Journal

### THE INFLUENCE OF THE MAGNETIC FIELD ON THE IONIZED GAS FLOW ADJACENT TO THE POROUS WALL

**ABSTRACT**

This paper studies the influence of the magnetic field on the planar laminar steady flow of the ionized gas in the boundary layer. The present outer magnetic field is homogenous and perpendicular to the body within the fluid. The gas of the same physical characteristics as the gas in the main flow is injected (ejected) through the contour of the body. The governing boundary layer equations for different forms of the electroconductivity variation law are transformed, brought to a generalized form and solved numerically in a four-parametric approximation. It has been determined that the magnetic field, through the magnetic parameter, has a great influence on certain quantities and characteristics of the boundary layer. It has also been shown that this parameter has an especially significant influence on the non-dimensional friction function, and hence the boundary layer separation point.

**KEYWORDS**

PAPER SUBMITTED: 2010-05-06

PAPER REVISED: 2010-06-21

PAPER ACCEPTED: 2010-07-03

**THERMAL SCIENCE** YEAR

**2010**, VOLUME

**14**, ISSUE

**Supplement 1**, PAGES [S183 - S196]

- Loitsianskii, L. G., Laminar Boundary Layer (in Russian), FML, Moscow, Russia, 1962
- Loitsianskii, L. G., Liquid and Gas Mechanics (in Russian), Nauka, Moscow, Russia, 1978
- Krivtsova, N. V., Parameter Method of Solving the Laminar Boundary Layer Equations with Axial Pressure Gradient in the Conditions of Equilibrium Dissociation of the Gas (in Rusian), Engineering-Physical Journal, 10 (1966), 2, pp. 143-153
- Krivtsova, N. V., Laminar Boundary Layer in an Equilibrium Dissociated Gas for Arbitrary External Velocity Distribution (in Rusian), Mekhanika Zhidkosti i Gaza, 1 (1966), 5, pp. 106-112
- Saljnikov, V., Dallmann, U., Generalized Similarity Solutions for Three Dimensional, Laminar, Steady Compressible Boundary Layer Flows on Swept, Profiled Cylinders (in German), Institute for Theoretical Fluid Mechanics, DLR-FB 89-34, Göttingen, Germany, 1989
- Boričić, Z., Nikodijević, D., Živković, D., One Problem of a Steady Plane MHD Boundary Layer (in Serbian), Proceedings, 19th. Yugoslav Congress of Theoretical and Applied Mechanics, Ohrid, Yugoslavia, 1990, pp. 213-217
- Boričić, Z., Nikodijević, D., Obrović, B., Unsteady Flow of Liquid whose Electroconductivity is a Function of the Longitudinal Velocity Gradient in MHD Boundary Layer on a Body (in Serbian), Proceedings, 20th. Yugoslav Congress of Theoretical and Applied Mechanics, Kragujevac, Serbia, 1993, pp. 136-139
- Saljnikov, V., Boričić, Z., Nikodijević, D., Parametric Method in Unsteady MHD Boundary Layer Theory of Fluid with Variable Electroconductivity, Facta Universitatis, Series: Mechanics, Automatic Control and Robotics, 2 (1997), 7/2, pp. 331-340
- Saljnikov, V., Obrović B. and Savić, S., Ionized Gas Flow in the Boundary Layer for Different Forms of the Electroconductivity Variation Flow, Theoret. Appl. Mech., 26 (2001), 1, pp. 15-31
- Obrović B. and Savić, S., Ionized Gas Boundary Layer on a Porous Wall of the Body within the Electroconductive Fluid, Theoret. Appl. Mech., 31 (2004), 1, pp. 47-71
- Savić, S., Solution of the Problem of the Ionized Gas Flow in the Boundary Layer in Case of a Nonporous and a Porous Contour of the Body within the Fluid (in Serbian), Ph. D. thesis, Faculty of Mechanical Engineering, University of Kragu¬je¬vac, Kragujevac, Serbia, 2006
- Savić S., Obrović, B., The Influence of Variation of Electroconductivity on Ionized Gas Flow in the Boundary Layer along a Porous Wall, Theoret. Appl. Mech., 33 (2006), 2, pp. 149-179
- Schlichting, H., Boundary-Layer Theory (in German), G. Braun, Karlsruhe, Germany, 1974
- Rossow, J., On Flow of Electrically Conducting Fluids over a Flat Plate in the Presence of a Transversal Magnetic Field, NACA-TR-1358, 44 (1958), 1, pp. 489-508
- Obrović, B., Parametric Method in the Boundary-Layer Theory of Ionized Gas whose Electroconductivity is a Function of the Longitudinal Velocity Gradient, Acta Mechanica, 147 (2001), 1-4, pp. 35-44