ON THE IONIZED GAS BOUNDARY LAYER ADJACENT TO THE BODIES OF REVOLUTION IN THE CASE OF VARIABLE ELECTROCONDUCTIVITY

Abstract

This paper studies the ionized gas i.e. air flow in an axisymmetrical boundary layer adjacent to the bodies of revolution. The contour of the body within the fluid is nonporous. The ionized gas flows under the conditions of equilibrium ionization. A concrete form of the electroconductivity variation law has been assumed and studied here. Through transformation of variables and introduction of sets of parameters, V. N. Saljnikov's version of the general similarity method has been successfully applied. Generalized equations of axisymmetrical ionized gas boundary layer have been obtained and then numerically solved in a three-parametric localized approximation.

Dates

  • Submission Date2011-12-05
  • Revision Date2012-04-02
  • Acceptance Date2012-10-03

DOI Reference

10.2298/TSCI111205223O

References

  1. Loitsianskii, L.G., Mechanics of Liquids and Gases, Begell House Publishers, New York, USA, 1995
  2. 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
  3. Krivtsova, N.V., Laminar Boundary Layer in an Equilibrium Dissociated Gas for Arbitrary External Velocity Distribution, Fluid Dynamics, 1 (1966), 5, pp. 73-76
  4. Krivtsova, N.V., A Parametric Method of Solving Laminar Boundary Layer Equations with a Longitudinal Pressure Gradient in an Equilibrium-Dissociated Gas, Journal of Engineering Physics and Thermophysics, 10 (1966), 2, pp. 95-100
  5. Boričić, Z., Nikodijević D., Milenković, D., Unsteady MHD Boundary Layer on a Porous Surface, Facta Universitatis, Series: Mechanics, Automatic Control and Robotics, 1 (1995), 5, pp. 631-643
  6. Pavlović, M., Temperature Boundary Layer on a Rotating Surface - the Problem of the Constant Temperature Wall, Theoret. Appl. Mech., 33 (2006), 2, pp. 91-106
  7. Obrović, B., Boundary Layer of Dissociated Gas (in Serbian), Monograph, University of Kragujevac, Faculty of Mechanical Engineering, Kragujevac, Serbia, 1994
  8. Obrović, B., Savić, S., Dissociated Gas Flow in the Boundary Layer in the Case of a Porous Contour of the Body within Fluid, Facta Universitatis, Series: Mechanics, Automatic Control and Robotics, 3 (2003), 15, pp. 989-1000
  9. 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
  10. Obrović, B., Parametric Method in the Boundary-Layer Theory of Ionized Gas whose Electroconductivity is a Function of the Longitudinal Velocity Gradient, Acta Mech., 147 (2001), 1-4, pp. 35-44
  11. Obrović, B., Saljnikov V., Boričić, Z., Boundary Layer Flow of Ideally Dissociated Chemically "Frozen" Gas - Influence of Pr-Number, Acta Mech., 71 (1988), 1-4, pp. 195-213
  12. Ginzburg, I.P., Friction and Heat Transfer in the Motion of a Gas Mixture (in Russian), Leningrad State University Press, Leningrad, Russia, 1975
  13. Anderson, J.D.Jr., Hypersonic and High Temperature Gas Dynamics, McGraw-Hill Book Company, New York, St. Louis, San Francisco, USA, 1989
  14. Dorrance, W.H., Viscous Hypersonic Flow: Theory of Reacting and Hypersonic Boundary Layers, McGraw-Hill Book Company, New York, USA, 1962
  15. Loitsianskii, L.G., Laminar Boundary Layer (in German), Akademie-Verlag, Berlin, Germany, 1967
  16. 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
  17. Schlichting, H., Boundary-Layer Theory (in German), G. Braun, Karlsruhe, Germany, 1974
  18. Obrović, B., 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
  19. Obrović, B., Savić, S., Petrović, R., Ionized Gas Boundary Layer on Bodies of Revolution in the Presence of Magnetic Field, Tehnički vjesnik - Technical gazette, 17 (2010), 1, pp. 35-42
  20. Obrović, B., Boričić, Z., Savić, S., Boundary Layer of Ionized Gas in the Case of Changeable Electroconductivity, Facta Universitatis, Series: Mechanics, Automatic Control and Robotics, 2 (1999), 9, pp. 953-963
  21. Obrović, B., Nikodijević, D., Savić, S., Boundary Layer of Dissociated Gas on Bodies of Revolution of a Porous Contour, Strojniški vestnik - Journal of Mechanical Engineering, 55 (2009), 4, pp. 244-253
Volume 17, Issue 2, Pages555 -566