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Stability of Hele–Shaw flows: The wetting‐layer effect

 

作者: Leonard Schwartz,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1986)
卷期: Volume 29, issue 9  

页码: 3086-3088

 

ISSN:0031-9171

 

年代: 1986

 

DOI:10.1063/1.865997

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The classical viscous instability calculation of Choukeetal. [Trans. AIME216, 188 (1959)], further clarified by Saffman and Taylor [Proc. R. Soc. London, Ser. A245, 312 (1958)] in the context of flow in a Hele–Shaw cell, is reconsidered and the importance of the wetting condition and the associated interfacial pressure jump is established. Important qualitative changes appear in the resulting dispersion relation when this effect is included. The wavelength of maximum growth is increased and the growth rate is reduced, however, the critical wavelength for instability remains unchanged. Comparison of the theoretical results with some recent experiments appears to provide support for the new effect.

 

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