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Parametric method for unsteady two-dimensional MHD boundary-layer on a body for which temperature varies with time

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Języki publikacji
EN
Abstrakty
EN
This paper concerns unsteady two-dimensional laminar temperature magnetohydrodynamic (MHD) boundary-layer of incompressible fluid. The present magnetic field is homogenous and perpendicular to the body surface along which the boundary-layer is developing. Body temperature varies with time. Outer electric filed is neglected and magnetic Reynolds number is significantly lower than one, i.e. the considered problem is in induction-less approximation. In order to solve the described problem, multiparametric (generalized similarity) method is used and so-called universal equations are obtained. The obtained universal equations are solved numerically in appropriate approximation and a part of the obtained results is given in the form of figures and the corresponding conclusions.
Rocznik
Strony
57--57
Opis fizyczny
–-76, Bibliogr. 17 poz.
Twórcy
autor
autor
  • Faculty of Mechanical Engineering University of Nis Aleksandra Medvedeva 14 18000 Nis, Serbia, zikas@masfak.ni.ac.rs
Bibliografia
  • 1. H. Schlichting, Grenzschicht-Theorie, Braun-Verlag, Karlsruhe 1982.
  • 2. E.J. Blum, J.A. Mihailov, Heat transfer in electroconductive fluid in presence of transversal magnetic field, Magnetohydrodynamics-Turbulent MHD Flow, 5, 2–18, 1966.
  • 3. E.J. Blum, J.A. Mihailov, R.J. Ozols, Heat and mass transfer in magnetic field, Akademia Nauk Litviskoi SSR-Zinatie, Riga 1980.
  • 4. T. Ašković, R. Ašković, Sur un probléme de la couche limite magnétohydrodynamique laminare non stationnaire avec une conductivité electrique variable, ZAMM – Journal of Applied Mathematics and Mechanics, 57, 170–173, 1977.
  • 5. V. Sharma, U. Gupta, Stability of stratified elastico-viscous Walters’ (Model B′) fluid in the presence of horizontal magnetic field and rotation in porous medium, Archives of Mechanics, 58, 187–197, 2006.
  • 6. E.E. Tzirtzilakis, A mathematical model for blood flow in magnetic field, Physics of Fluids, 17, 7, 1–15, 2005.
  • 7. V. Skadov, Boundary-layer flow of compressible fluid with pressure gradient, OTN Mechanics and Mechanism, 2, 28–32, 1963.
  • 8. L.G. Loicijanski, Universal equations and parametric approximations in theory of laminar boundary-layer, AN SSSR Applied Mathematics and Mechanics, 29, 70–87, 1965.
  • 9. V.N. Saljnikov, A Contribution to universal solutions of the boundary-layer theory, Theoretical and Applied Mechanics, 4, 139–163, 1978.
  • 10. O.N, Busmarin, J.V. Saraev, Parametric method in theory of unsteady boundary-layer, Inz.-Fiz. Zurnal, 27, 1, 110–118, 1974.
  • 11. Z. Boričić, D. Nikodijević, D. Milenković, Ž. Stamenković, A form of MHD Universal equations of unsteady incompressible fluid flow with variable electroconductivity on heated moving plate, Theoretical and Applied Mechanics, 32, 65–77, 2005.
  • 12. B. Obrović, D. Nikodijević, S. Savić, Boundary-layer of dissociated gas on bodies of revolution of a porous contour, Strojniški Vestnik – Journal of Mechanical Engineering, 55, 4, 244–253. 2009.
  • 13. Z. Boričić, D. Nikodijević, B. Obrović, Ž. Stamenković, Universal equations of unsteady two-dimensional MHD boundary-layer on the body along temperature vary with time, Theoretical and Applied Mechanics, 36, 2, 119–135, 2009.
  • 14. B.V. Alexeev, Generalized Boltzmann Physical Kinetics, ISBN 0-444-51582-8, Elsevier, 2004.
  • 15. Iu.A. Poveshchenko, Iu.P. Popov, E.A. Samarskaia, Iterative methods for solving difference schemes for equations of gas dynamics with heat conduction [in Russian], Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 22, 903–912, 1982.
  • 16. Yu.V. Saraev, Application of the parametric method to the solution of problems of the unsteady thermal boundary-layer, Journal of Engineering Physics and Thermophysics, 28, 2, 200–206, 1975.
  • 17. V. Djordjevic, Determination of unsteady temperature field for plane motion around a body of arbitrary shape [in Russian], Publications de l’Institut Mathematique, Nouvelle serie, 5, 19, 99–114, 1965.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0010-0011
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