×

Slow flow of a non-Newtonian liquid past a fluid sphere. (English) Zbl 0688.76070

Summary: The motion of a non-Newtonian fluid past a Newtonian fluid sphere has been investigated using the Stokes approximation. The stream functions characterizing the internal and external flow fields have been determined and the special case of flow past a solid sphere is deduced. The drag experienced by the fluid sphere has been evaluated and found to be greater than the classical counterpart.

MSC:

76T99 Multiphase and multicomponent flows
76A05 Non-Newtonian fluids
76D07 Stokes and related (Oseen, etc.) flows
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Reiner, M.: A mathematical theory of dilataney. Am. J. Math.67, 350 (1945). · Zbl 0063.06464 · doi:10.2307/2371950
[2] Rathna, S. L.: Slow motion of a non-Newtonian liquid past a sphere. Quart. J. Mech. Applied Math.15, 427 (1962). · Zbl 0136.45102 · doi:10.1093/qjmam/15.4.427
[3] Leslie, F. M.: The slow flow of a visco-elastic liquid past a sphere. Quart. J. Mech. Applied Math.14, 36 (1961). · Zbl 0107.19603 · doi:10.1093/qjmam/14.1.36
[4] Oldroyd, J. G.: Non-Newtonian effects in steady motion of some idealized elasticoviscous liquids. Proc. Roy. Soc. London Ser.A245, 278 (1958). · Zbl 0080.38805 · doi:10.1098/rspa.1958.0083
[5] Happel, J., Brenner, H.: Low Reynolds number hydrodynamics, Ch. 4. London: Prentice-Hall Inc. 1965.
[6] Hadamard, J. S.: Compt. Rend. Acad. Sci.152, 1735 (1911).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.