Engineering Transactions, 31, 1, pp. 93-101, 1983

Drag on a Circular Cylinder Oscillating in a Dusty Viscous Fluid

A. Indrasena
Department of Mathematics, Faculty of Sciences, Al-Fateh University, Tripoli
Libya

Ali Mohamed Awin
Department of Mathematics, Faculty of Sciences, Al-Fateh University, Tripoli
Libya

Rectilinear oscillations of а circular cylinder in an infinite expanse of а viscous, imcompre­ssible fluid with embended small solid spherical particles are studied. Analytical expressions for the velocity of the fluid and the drag experienced bу the cylinder due to fluid stress are given. Explicit expressions for the drag parameters are obtained using the asymptotic expansion of modified Bessel functions, and some limiting cases are discussed.

Full Text: PDF

References

S. L. SOO, Fluid dynamics of multi-phase systems, Ist. edn. Waltham, Mass. 1967.

D. E. MICHAEL and D.A. MILLER, Mathematika, 13, 97, 1966.

J. T. C. LIU, Phys. Fluids, 9, 176, 1966.

J. T. C. LIU, Astronaut Acta, 13, 396, 1967.

J. V. HEALY and H. T. YANG, Astronaut Acta, 17, 851, 1972.

D. E. MICHAEL and P. W. NOREY, Q. J. Mech. Appl. Math., 21, 375, 1968.

l. V. HEALY and H. T. YANG, Z. angew. Math. Phys., 21, 454, 1970.

A. INDRASENA and OMAR BEN-ZARTY, Appl. Sci. Res., 36, 109, 1980.

K. R. FRATER, J. Fluid. Mech., 30, 689, 1967.

P. G. SAFFMAN, J. Fluid Mech., 13, 120, 1962

G. SEGRE and A SILVERBERG, J. Fluid Mech., 14, 115, 1962.

M. ABRAMOWITZ and I. A. STEGUN, Hand book of mathematical functions, Dover Publications, Inc. New York, 1970.




Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland