Advertisement

Fluid Dynamics

, Volume 11, Issue 3, pp 383–386 | Cite as

Two-phase couette flow

  • A. P. Vasil'kov
  • I. N. Murzinov
Article
  • 97 Downloads

Abstract

A study is made of plane laminar Couette flow, in which foreign particles are injected through the upper boundary. The effect of the particles on friction and heat transfer is analyzed on the basis of the equations of two-fluid theory. A two-phase boundary layer on a plate has been considered in [1, 2] with the effect of the particles on the gas flow field neglected. A solution has been obtained in [3] for a laminar boundary layer on a plate with allowance for the dynamic and thermal effects of the particles on the gas parameters. There are also solutions for the case of the impulsive motion of a plate in a two-phase medium [4–6], and local rotation of the particles is taken into account in [5, 6]. The simplest model accounting for the effect of the particles on friction and heat transfer for the general case, when the particles are not in equilibrium with the gas at the outer edge of the boundary layer, is Couette flow. This type of flow with particle injection and a fixed surface has been considered in [7] under the assumptions of constant gas viscosity and the simplest drag and heat-transfer law. A solution for an accelerated Couette flow without particle injection and with a wall has been obtained in [6]. In the present paper fairly general assumptions are used to obtain a numerical solution of the problem of two-phase Couette flow with particle injection, and simple formulas useful for estimating the effect of the particles on friction and heat transfer are also obtained.

Keywords

Heat Transfer Boundary Layer Outer Edge Couette Flow Model Accounting 
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.

Literature cited

  1. 1.
    S. L. Soo, Fluid Dynamics of Multiphase Systems, Blaisdell, Waltham, Massachusetts (1967).Google Scholar
  2. 2.
    I. D. Larionov and N. I. Syromyatnikov, “Structure of the wall region of a disperse flow with longitudinal flow past a flat plate,” Inzh.-Fiz. Zh.,23, No. 4 (1972).Google Scholar
  3. 3.
    R. E. Singleton, “The compressible gas-solid particle flow over a semi-infinite flat plate,” Z. Angew. Math. Phys.,16, No. 4 (1965).Google Scholar
  4. 4.
    J. T. C. Liu, “Flow induced by the impulsive motion of an infinite flat plate in a dusty gas,” Astronaut. Acta,13, No. 4 (1967).Google Scholar
  5. 5.
    E. F. Afanas'ev and V. N. Nikolaevskii, “Striated flow of a suspension of solid particles in a viscous fluid,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2 (1969).Google Scholar
  6. 6.
    A. Hamed and W. Tabakoff, “Analysis of nonequilibrium particulate flow,” AIAA Paper, No. 687 (1973).Google Scholar
  7. 7.
    V. Quan, “Couette flow with particle injection,” Int. J. Heat Mass Transfer,15, No. 11 (1972).Google Scholar
  8. 8.
    A. N. Kraiko and L. E. Sternin, “Theory of the flow of a two-velocity continuous medium with solid or liquid particles,” Prikl. Mat. Mekh.,29, No. 3 (1965).Google Scholar
  9. 9.
    H. Schlichting, Boundary Layer Theory, McGraw-Hill, New York (1968).Google Scholar
  10. 10.
    V. G. Voronkin, “Calculation for a viscous shock wave on blunt cones,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6 (1974).Google Scholar
  11. 11.
    V. E. Alemasov, A. F. Dregalin, and A. P. Tishin, Theory of Rocket Engines [in Russian], Mashinostroenie, Moscow (1969).Google Scholar
  12. 12.
    R. F. Probstein and F. Fassio, “Dusty hypersonic flows,” AIAA J.,8, No. 4 (1970).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • A. P. Vasil'kov
    • 1
  • I. N. Murzinov
    • 1
  1. 1.Moscow

Personalised recommendations