Hostname: page-component-8448b6f56d-m8qmq Total loading time: 0 Render date: 2024-04-16T14:16:30.845Z Has data issue: false hasContentIssue false

Steady flow past a circular cylinder coated with magnetic fluid: flow structure, drag reduction and coating deformation

Published online by Cambridge University Press:  26 April 2006

Mikhail S. Krakov
Affiliation:
Heat and Power Department, Byelorussian State Polytechnic Academy, Minsk 220027, Republic of Belarus
Shinichi Kamiyama
Affiliation:
Institute of Fluid Science, Tohoku University, Sendai 980, Japan

Abstract

The present study deals with the influence of a magnetic-fluid coating, held onto a circular cylinder surface by a magnetic field, on the viscous fluid flow structure round the cylinder in the Reynolds number range of 1–100. The influence of the coating thickness, magnetic fluid viscosity, and Reynolds number on flow separation and drag reduction is determined. The interface shape of the magnetic fluid coating and its behaviour, depending on the flow parameters, are also established.

Type
Research Article
Copyright
© 1995 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bashtovoi, V. G., Berkovsky, B. M. & Vislovich, A. N. 1988 Introduction to Thermomechanics of Magnetic Fluids. Hemisphere.
Bashtovoi, V. G. & Krakov, M. S. 1978 Stability of an axisymmetric jet of magnetizable fluid. Appl. Math. Tekhn. Phys. (in Russian), no. 4, 147153.Google Scholar
Berkovsky, B. M., Medvedev, V. F. & Krakov, M. S. 1993 Magnetic Fluids – Engineering Applications. Oxford University Press.
Cowley, M. D. & Rosensweig, R. E. 1967 The interfacial stability of a ferromagnetic fluid. J. Fluid Mech. 30, 671688.Google Scholar
Dennis, S. C. R. & Chang, G.-Z. 1970 Numerical solutions for steady flow past a circular cylinder at Reynolds number up to 100. J. Fluid Mech. 42, 471489.Google Scholar
Fornberg, B. 1980 A numerical study of steady viscous flow past a circular cylinder. J. Fluid Mech. 98, 819855.Google Scholar
Isaak, J. D. & Speed, B. 1906 Engng News 55, 641.
Kamiyama, S. & Krakov, M. S. 1993 Numerical simulation of steady flow around a circular cylinder coated with magnetic fluid. Proc. Intl Symp. on Aerospace and Fluid Science, Sendai, Japan, vol. II, pp. 705712. Japan Society of Comput. Fluid Dynamics.
Kamiyama, S. & Satoh, A. 1988 Steady flow around a cylinder coated with a magnetic fluid film. JSME Intl J. (II) 31, 218226.Google Scholar
Kamiyama, S. & Shimoiizaka, J. 1985 Magnetic fluids and their applications. J. Japan Soc. Mech. Engrs (in Japanese) 88, 596602.Google Scholar
Krakov, M. S. 1992 Control volume finite-element method for Navier-Stokes equation in vortex—streamfunction formulation. Numer. Heat Transfer B: Fundam. 21, 125145.Google Scholar
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Landau, L. D., Lifshitz, E. M. & Pitaevskii, L. P. 1984 Electrodynamics of Continuous Media. Pergamon.
Neuringer, J. L. & Rosensweig, R. E. 1964 Ferrohydrodynamics. Phys. Fluids 7, 19271937.Google Scholar
Polevikov, V. K. 1986 A numerical study of drag of a circular cylinder coated by thin magnetic fluid layer. Fluid Dyn. (in Russian) no. 3, 1116.Google Scholar
Rayleigh 1878 On the instability of jets. Proc. Lond. Math. Soc. 10, 4.Google Scholar
Rosensweig, R. E. 1985 Ferrohydrodynamics. Cambridge University Press.
Stalnaker, F. & Hussey, R. G. 1979 Wall effects on cylinder drag at low Reynolds number. Phys. Fluids 22, 603613.Google Scholar
Takami, H. & Keller, H. B. 1969 Steady two-dimensional viscous flow of an incompressible fluid past a circular cylinder. Phys. Fluids 12, Suppl. II, 5156.Google Scholar