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The stokes problems for a conducting fluid with a suspension of particles

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Abstract

The Stokes problems of an incompressible, viscous, conducting fluid with embedded small spherical particles over an infinite plate, set into motion in its plane by impulse and by oscillation, in the presence of a transverse magnetic field, are studied. The velocities of the fluid and of the particles and the wall shear stress are obtained. The stress is found to increase due to the particles and the magnetic field, with the effect of the particles diminishing as the field strength is increased.

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Abbreviations

H 0 :

strength of the imposed magnetic field

k :

density ratio of particles to fluid (per unit volume of flow field)

m :

σ 2e H 20 /ρ

t :

time

y :

co-ordinate normal to the plate

u :

fluid velocity

v :

particle velocity

μ e :

magnetic permeability of the fluid

ν :

kinematic viscosity of the fluid

σ :

electric conductivity of the fluid

ρ :

fluid density

τ :

particle relaxation time

ω :

frequency of oscillation of the plate

References

  1. Schlichting, H., Boundary Layer Theory, McGraw-Hill Book Company, New York 1968.

    Google Scholar 

  2. Batchelor, G. K., An Introduction to Fluid Dynamics, Cambridge University Press, England, 1970.

    Google Scholar 

  3. Healy, J. Val. and H. T. Yang, Astronautica Acta 17 (1972) in Press.

  4. Yang, H. T., Rayleigh's Problem in a Transverse Magnetic Field, Institute for Fluid Dynamics and Applied Mathematics T. N. BN-158. University of Maryland, 1958.

  5. Pai, S. I., Magnetogasdynamics and Plasma Dynamics, Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1962.

    Google Scholar 

  6. Rudraiah, N., Phys. Fluids. 13 (1970) 2616.

    Google Scholar 

  7. Baral, M. C., J. Phys. Soc. Japan 25 (1969) 1701.

    Google Scholar 

  8. Saffman, P. G., J. Fluid Mech. 13 (1962) 120.

    Google Scholar 

  9. Panton, R., J. Fluid Mech. 31 (1968) 819.

    Google Scholar 

  10. Imai, I., Rev. Mod. Phys. 32 (1960) 992.

    Google Scholar 

  11. Chang, I. D., J. Fluid Mech. 9 (1960) 473.

    Google Scholar 

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Authors and Affiliations

  1. Department of Aerospace Engineering, University of Southern California, 90007, Los Angeles, Cal., USA

    H. T. Yang

  2. Department of Engineering Mathematics, The Queen's University, Belfast, N. Ireland UK

    J. V. Healy

Authors
  1. H. T. Yang
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  2. J. V. Healy
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Yang, H.T., Healy, J.V. The stokes problems for a conducting fluid with a suspension of particles. Appl. Sci. Res. 27, 387–397 (1973). https://doi.org/10.1007/BF00382501

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  • DOI: https://doi.org/10.1007/BF00382501

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