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Article

Streamlines and Detached Wakes in Steady Flow past a Spherical Liquid Drop

by
G.M. Moremedi
1,* and
D.P. Mason
2,*
1
Department of Mathematical Sciences, University of South Africa, PO Box 392, Pretoria, South Africa
2
Centre for Differential Equations, Continuum Mechanics and Applications and School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(4), 543-557; https://doi.org/10.3390/mca15040543
Published: 1 December 2010
Versions Notes

Abstract

The flow interior and exterior to a viscous liquid drop in steady motion in an unbounded quiescent fluid is investigated using the perturbation solution of Taylor and Acrivos (1964) to first order in the Reynolds number. New analytical results are derived for the detached wake behind the drop. It is found that as the viscosity of the drop tends to infinity the wake becomes attached to the surface of the drop and the results of Proudman and Pearson (1957) for a solid sphere are rederived.
Keywords: Singular perturbation solution; streamlines; boundary of standing eddies; stagnation point Singular perturbation solution; streamlines; boundary of standing eddies; stagnation point

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MDPI and ACS Style

Moremedi, G.M.; Mason, D.P. Streamlines and Detached Wakes in Steady Flow past a Spherical Liquid Drop. Math. Comput. Appl. 2010, 15, 543-557. https://doi.org/10.3390/mca15040543

AMA Style

Moremedi GM, Mason DP. Streamlines and Detached Wakes in Steady Flow past a Spherical Liquid Drop. Mathematical and Computational Applications. 2010; 15(4):543-557. https://doi.org/10.3390/mca15040543

Chicago/Turabian Style

Moremedi, G.M., and D.P. Mason. 2010. "Streamlines and Detached Wakes in Steady Flow past a Spherical Liquid Drop" Mathematical and Computational Applications 15, no. 4: 543-557. https://doi.org/10.3390/mca15040543

APA Style

Moremedi, G. M., & Mason, D. P. (2010). Streamlines and Detached Wakes in Steady Flow past a Spherical Liquid Drop. Mathematical and Computational Applications, 15(4), 543-557. https://doi.org/10.3390/mca15040543

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