Advertisement

Fluid Dynamics

, Volume 2, Issue 6, pp 53–56 | Cite as

Self-similar solutions of non-Newtonian fluid boundary layer in MHD

  • Ya. G. Sapunkov
Article
  • 49 Downloads

Abstract

The self-similar solutions of the boundary layer for a non-Newtonian fluid in MHD were considered in [1, 2] for a power-law velocity distribution along the outer edge of the layer and constant electrical conductivity through the entire flow. However, the MHD flows of many conducting media, which are solutions or molten metals, cannot be described by the MHD equations for non-Newtonian fluids.

The self-similar solutions of the boundary layer for a non-Newtonian fluid without account for interaction with the electromagnetic field were studied in [3].

In the following we present the self-similar solutions for the boundary layer of pseudoplastic and dilatant fluids with account for the interaction with an electromagnetic field for the case of a power-law velocity distribution along the outer edge of the layer, when the conductivity of the fluid is constant throughout the flow and the magnetic Reynolds number is small.

Keywords

Boundary Layer Electrical Conductivity Reynolds Number Electromagnetic Field Velocity Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. L. Kitanin, “Laminar boundary layer of a conducting gas on a flat plate with transverse magnetic field”, Tr. Leningr. politekhn. in-ta, Mashinostroenie, no. 232, pp. 14–19, 1964.Google Scholar
  2. 2.
    E. L. Kitanin and Yu. A. Sokovishin, “The boundary layer of a conducting fluid in a magnetic field”, Magnitnaya gidrodinamika [Magnetohydrodynamics], vol. 2, no. 1, pp. 47–50, 1966.Google Scholar
  3. 3.
    Z. P. Shul'man and B. M. Berkovskii, Boundary Layer of Non-Newtonian Fluids [in Russian], Izd-vo Nauka i tekhnika, Minsk, 1966.Google Scholar
  4. 4.
    V. V. Sychev, “On blast theory in a thermally conductive gas”, PMM, vol. 29, no. 6, pp. 997–1003, 1965.Google Scholar

Copyright information

© Consultants Bureau 1971

Authors and Affiliations

  • Ya. G. Sapunkov
    • 1
  1. 1.Saratov

Personalised recommendations