THERMAL SCIENCE

International Scientific Journal

Slobodan R. Savić

,

Branko R. Obrović

,

Nebojša P. Hristov

ANALYSIS OF THE AXISYMMETRICAL IONIZED GAS BOUNDARY LAYER ADJACENT TO POROUS CONTOUR OF THE BODY OF REVOLUTION

ABSTRACT
The ionized gas flow in the boundary layer on bodies of revolution with porous contour is studied in this paper. The gas electroconductivity is assumed to be a function of the longitudinal coordinate x. The problem is solved using Saljnikov's version of the general similarity method. This paper is an extension of Saljnikov’s generalized solutions and their application to a particular case of magnetohydrodynamic (MHD) flow. Generalized boundary layer equations have been numerically solved in a four-parametric localized approximation and characteristics of some physical quantities in the boundary layer has been studied. [Projekat Ministarstva nauke Republike Srbije, br. ON 174014]
KEYWORDS
boundary layer, ionized gas, body of revolution, porous contour, magnetic field
PAPER SUBMITTED: 2015-04-22
PAPER REVISED: 2015-09-22
PAPER ACCEPTED: 2015-09-23
PUBLISHED ONLINE: 2015-09-26
DOI REFERENCE: https://doi.org/10.2298/TSCI150422143S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 2, PAGES [529 - 540]
REFERENCES
  1. Loitsianskii, L. G., The Universal Equations and Parametric Approximations in the Theory of the Laminar Boundary Layer, Journal of Applied Mathematics and Mechanics, 29 (1965), 1, pp. 74-92
  2. Loitsianskii, L. G., Mechanics of Liquids and Gases, Begell House Publishers, New York, USA, 1995
  3. Saljnikov, V., A Contribution to Universal Solutions of the Boundary Layer Theory, Theoret. Appl. Mech., 4 (1978), 1, pp. 139-163
  4. Saljnikov, V., Dallmann, U., Generalized Similarity Solutions for Three Dimensional, Laminar, Steady, Compressible Boundary Layer Flows on Swept Profile Cylinders (in German), DLR-FB 89-34, Institute for Theoretical Fluid Mechanics, Göttingen, Germany, 1989
  5. 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
  6. Krivtsova, N. V., Laminar Boundary Layer in an Equilibrium Dissociated Gas for Arbitrary External Velocity Distribution, Fluid Dynamics, 1 (1966), 5, pp. 73-76
  7. Pavlović, M., Universal Solutions of the Incompressible Laminar Temperature Boundary Layer on a Rotating Surface, Facta Universitatis, Series: Mechanics, Automatic Control and Robotics, 2 (1997), 7/2, pp. 391-400
  8. 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
  9. Djukić, Dj., On Unsteady Magnetic Low-Speed Slip Flow in the Boundary Layer, Acta Mach., 18 (1973), 1-2, pp. 35-48
  10. Saljnikov, V., et al., General Similatity Method for Unsteady MHD Free Convection Problems on the Vertical Wall, Facta Universitatis, Series: Mechanics, Automatic Control and Robotics, 2 (2000), 10, pp. 1233-1241
  11. Ivanović D., Unsteady Incompressible MHD Boundary Layer on Porous Aerofoil in High Accelerating Fluid Flow, Theoret. Appl. Mech., 27 (2002), 1, pp. 87-102
  12. Obrović, B., Boundary Layer of Dissociated Gas (in Serbian), Monograph, Faculty of Mechanical Engineering, University of Kragujevac, Kragujevac, Serbia, 1994
  13. 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
  14. Obrović, B., et al., Boundary Layer Flow of Ideally Dissociated Chemically "Frozen" Gas - Influence of Pr-Number, Acta Mech., 71 (1988), 1-4, pp. 195-213
  15. 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
  16. 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
  17. Ginzburg, I. P., Friction and Heat Transfer in the Motion of a Gas Mixture (in Russian), Leningrad State University Press, Leningrad, Russia, 1975
  18. Anderson, J. D. Jr., Hypersonic and High Temperature Gas Dynamics, McGraw-Hill Book Company, New York, USA, 1989
  19. Dorrance, W. H., Viscous Hypersonic Flow: Theory of Reacting and Hypersonic Boundary Layers, McGraw-Hill Book Company, New York, USA, 1962
  20. Loitsianskii, L. G., Laminar Boundary Layer (in German), Akademie-Verlag, Berlin, Germany, 1967
  21. Schlichting, H., Boundary-Layer Theory (in German), G. Braun, Karlsruhe, Germany, 1974
  22. Obrović, B., et al., 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
  23. Obrović, B., et al., Ionized Gas Boundary Layer on Bodies of Revolution in the Presence of Magnetic Field, Tehnički vjesnik - Technical gazette, 17 (2010), 1, pp. 35-42
  24. 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
  25. Obrović, B., et al., Dissociated Gas Flow in the Boundary Layer along Bodies of Revolution of a Porous Contour, High Temperature, 49 (2011), 3, pp. 413-421
  26. Nikodijević, D. et al., Parametric Method for Unsteady Two-Dimensional MHD Boundary-Layer on a Body for which Temperature Varies with Time, Archives of Mechanics, 63 (2011), 1, pp. 57-76
  27. Nikodijević, D., et al., Active Control of Flow and Heat Transfer in Boundary Layer on the Porous Body of Arbitrary Shape, Thermal Science, 16 (2012), suppl. 2, pp. 295-309
  28. Obrović, B., et al., On the Ionized Gas Boundary Layer Adjacent to the Bodies of Revolution in the Case of Variable Electroconductivity, Thermal Science, 17 (2013), 2, pp. 555-566
  29. Nikodijević, D., Stamenković, Ž., Generaleristics of Unsteady MHD Temperature Boundary Layer, Journal of Non-Linear Mechanics, 73 (2015), July, pp. 75-84
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Analysis of the axisymmetrical ionized gas boundary layer adjacent to porous contour of the body of revolution

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence