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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 4, Pages 595–606 (Mi zvmmf10722)

This article is cited in 4 papers

Stability of the poiseuille flow in a channel with comb grooves

O. A. Grigorieva, N. V. Klyushnevb

a Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

Abstract: The stability of the Poiseuille flow in a channel with longitudinal comb grooves on the lower wall is studied numerically. Dependences of the linear and energy critical Reynolds numbers on the groove spacing and height are obtained and analyzed. The results are compared with data available for wavy grooves, which tend to comb grooves as one of the groove parameters approaches infinity.

Key words: temporal stability, shear flows, grooved surface, critical Reynolds numbers.

UDC: 519.635

Received: 22.02.2017

DOI: 10.7868/S0044466918040105


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:4, 581–592

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