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Research Article | Open Access

Saffman–Taylor instability in eccentric cylinders at gaseous cavitation

Institute of Mechanics, Moscow State University, Moscow 119899, Russia
ThermoFluid Solutions Ltd., Calgary, Alberta T3G4E8, Canada
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Abstract

A flow of silicon fluid in the gap between eccentric cylinders was studied experimentally. The condition of gaseous cavitation inception during the rotation of internal cylinder was considered. It was shown that at reduction of the gap between cylinders Saffman–Taylor instability appeared on surface of the internal cylinder and then gaseous cavitation was observed. Possibility of one uniform gas formation appearance under this type of instability was demonstrated.

References

[1]
Jeffrey D J, Onishi Y. The slow motion of a cylinder next to a plane wall. Q J Mechanics Appl Math 34(2): 129137 (1981)
[2]
Schubert G. Viscous flow near a cusped corner. J Fluid Mech 27(4): 647656 (1967)
[3]
Dowson D. Cavitation in lubricating films supporting small loads. Proc. Inst. Mech. Eng. Conf. Lubric. Wear: 9399 (1957)
[4]
Prokunin A N. Microcavitation in the slow motion of a solid spherical particle along a wall in a fluid. Fluid Dyn 39(5): 771778 (2004)
[5]
Choi G H, Chang B J, Cho D S. Cavitation test at high Reynolds number using a partial propeller blade model. J Soc Nav Archit Korea 46(6): 569577 (2009)
[6]
Soyama H. Cavitating jet: A review. Appl Sci 10(20): 7280 (2020)
[7]
Bukharin N S, Vinogradov O G. Investigation of the effect of slurry density on a bitumen separation process based on cavitating jets. Ind Eng Chem Res 51(17): 61756183 (2012)
[8]
Liu Y N, Fan H, Wu D, Chen H J, Feng K L, Zhao C C, Wu D Y. Experimental investigation of the dynamic cavitation behavior and wall static pressure characteristics through convergence-divergence venturis with various divergence angles. Sci Rep 10(1): 14172 (2020)
[9]
El Hassan M, Bukharin N, Al-Kouz W, Zhang J W, Li W F. A review on the erosion mechanism in cavitating jets and their industrial applications. Appl Sci 11(7): 3166 (2021)
[10]
Merlen A, Frankiewicz C. Cylinder rolling on a wall at low Reynolds numbers. J Fluid Mech 685: 461494 (2011)
[11]
Monakhov A A, Chernyavski V M, Shtemler Y. Bounds of cavitation inception in a creeping flow between eccentric cylinders rotating with a small minimum gap. Phys Fluids 25(9): 093102 (2013)
[12]
Seddon J R T, Mullin T. Reverse rotation of a cylinder near a wall. Phys Fluids 18(4): 041703 (2006)
[13]
Monakhov A, Bukharin N. Experimental study of cavitation development and secondary circulation flow between two eccentric cylinders. Fluids 7(11): 357 (2022)
[14]
Kottke P A, Bair S S, Winer W O. Cavitation in creeping shear flows. AIChE J 51(8): 21502170 (2005)
[15]
Monakhov A A, Kotelkin V D. Liquid flow in a gap between a cylinder and a wall in motion. Fluid Dyn 52(3): 410415 (2017)
[16]
Sun C, Mullin T, Van Wijngaarden L, Lohse D. Drag and lift forces on a counter-rotating cylinder in rotating flow. J Fluid Mech 664: 150173 (2010)
[17]
Monakhov A A, Pankrat’eva I L, Polyanskii V A. Vapor–gas cavitation and accompanying electrification in sliding a cylinder over a surface. Fluid Dyn 55(3): 332337 (2020)
[18]
Saffman P G, Sir Geoffrey Taylor F R S. The penetration of a fluid into a porous medium or Hele–Shaw cell containing a more viscous liquid. In: Dynamics of Curved Fronts. Pelcé P Ed. Amsterdam: Elsevier, 1988: 155174
[19]
Michalland S, Rabaud M, Couder Y. Instabilities of the upstream meniscus in directional viscous fingering. J Fluid Mech 312: 125148 (1996)
[20]
Franco-Gómez A, Thompson A B, Hazel A L, Juel A. Sensitivity of Saffman–Taylor fingers to channel-depth perturbations. J Fluid Mech 794: 343368 (2016)
[21]
McCloud K V, Maher J V. Experimental perturbations to Saffman–Taylor flow. Phys Rep 260(3): 139185 (1995)
[22]
Paterson L. Radial fingering in a Hele Shaw cell. J Fluid Mech 113: 513 (1981)
[23]
Måløy K J, Feder J, Jøssang T. Viscous fingering fractals in porous media. Phys Rev Lett 55(24): 26882691 (1985)
[24]
Joseph D D. Stability of Fluid Motions. Springer-Verlag, 1976.
Friction
Pages 356-362
Cite this article:
MONAKHOV AA, BUKHARIN N. Saffman–Taylor instability in eccentric cylinders at gaseous cavitation. Friction, 2024, 12(2): 356-362. https://doi.org/10.1007/s40544-023-0787-x

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Received: 16 May 2022
Revised: 13 July 2022
Accepted: 09 June 2023
Published: 29 November 2023
© The author(s) 2023.

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