Abstract
A numerical method for solving the inhomogeneous Oseen’s problems resulting from Finn’s regular perturbation expansion, established for the three-dimensional steady flow of a viscous incompressible fluid past an arbitrary obstacle, at small Reynolds number, is developed here. This method is based on the numerical solution of a system of linear Fredholm’s integral equations of the first kind derived from the representation formula of Green’s type for the exterior Oseen’s flow fields.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Finn, R. (1965) “On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems” Arch. Rational Mech. Anal. 19
Fisher, T.M.; G.C. Hsia and W.L. Wendland (1985) “Singular perturbations for the exterior three-dimensional slow viscous flow problem” J. Math. Appl. Vol. 110 No. 2
Kaplum, S. and P.A. Langerstrom (1957) “Asymptotic expansions of Navier-Stokes solutions for small Reynolds number” J. Math. Mech. 6
Lee, S.H. and Leal, L.G. (1986) “Low Reynolds number flow past cylindrical bodies of arbitrary cross-sectional shape” J. Fluid Mech. 164.
Miranda, G. and Power, H. (1983) “Integral equation solution of Oseen’s flow with a free surface” Lecture Notes in Mathematics, 1005 Springer Verlag
Olmstead W.E. and A.K. Gautesen (1976) “Integral representations and the Oseen flow problem” Mechanics today, Vol. 3, edited by S. Nemat-Nasser, Pergamon Oseen, C.W. (1927) “Neuere Methoden und Ergebnisse in der Hydrodynamik” Akademische Verlagsgesellschaft, Leipzig
Proudman, I. and J.R.A. Pearson (1957) “Expansions at small Reynolds numbers for the flow past a shere and a circular cylinder” J. Fluid Mech. 2
Youngren G.K. and A. Acrivos (1975) “Stokes flow past a particle of arbitrary shape: a numerical method of solutions” J. Fluid Mech. 69
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Computational Mechanics Publications
About this chapter
Cite this chapter
Power, H., Miranda, G., Villamizar, V. (1991). Regular Perturbations for the Exterior Three-Dimensional Slow Viscous Flow Problem. In: Brebbia, C.A., Gipson, G.S. (eds) Boundary Elements XIII. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3696-9_11
Download citation
DOI: https://doi.org/10.1007/978-94-011-3696-9_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-696-6
Online ISBN: 978-94-011-3696-9
eBook Packages: Springer Book Archive