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.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
- H 0 :
strength of the imposed magnetic field
- k :
density ratio of particles to fluid (per unit volume of flow field)
- m :
σ e 2 H 0 2 /ρ
- t :
- y :
co-ordinate normal to the plate
- u :
- v :
- μ e :
magnetic permeability of the fluid
- ν :
kinematic viscosity of the fluid
- σ :
electric conductivity of the fluid
- ρ :
- τ :
particle relaxation time
- ω :
frequency of oscillation of the plate
Schlichting, H., Boundary Layer Theory, McGraw-Hill Book Company, New York 1968.
Batchelor, G. K., An Introduction to Fluid Dynamics, Cambridge University Press, England, 1970.
Healy, J. Val. and H. T. Yang, Astronautica Acta 17 (1972) in Press.
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.
Pai, S. I., Magnetogasdynamics and Plasma Dynamics, Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1962.
Rudraiah, N., Phys. Fluids. 13 (1970) 2616.
Baral, M. C., J. Phys. Soc. Japan 25 (1969) 1701.
Saffman, P. G., J. Fluid Mech. 13 (1962) 120.
Panton, R., J. Fluid Mech. 31 (1968) 819.
Imai, I., Rev. Mod. Phys. 32 (1960) 992.
Chang, I. D., J. Fluid Mech. 9 (1960) 473.
About this article
Cite this article
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
- Magnetic Field
- Shear Stress
- Field Strength
- Spherical Particle
- Wall Shear Stress