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2015, 11

S. Voronkov

On failure of linear Hooke's law at turbulence occurrence

language: Russian

received 26.10.2015, published 17.11.2015

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ABSTRACT

An analytical expression of improved Hooke's law for gases connecting the pressure change with a change in density is obtained. The influence of acoustic density perturbations on the stability of laminar flow of a viscous heat-conducting gas in a flat channel is defined. This effect is taken into account via the nonlinear pressure additive that is included in a Hooke's law. The results of computing experiment are presented.

Keywords: Hooke's law, turbulence, viscous heat-conducting gas.

8 pages, 17 figures

Сitation: S. Voronkov. On failure of linear Hooke's law at turbulence occurrence. Electronic Journal “Technical Acoustics”, http://www.ejta.org, 2015, 11.

REFERENCES

1. Turbulent flows: Proc school on turbulent flow of liquids and gases, the 25-29 December 1974. Zvenigorod / B.D. Hahalin, V.I. Semko, A.N. Smolyakov etc.; Ans. Ed. V.V. Struminsky. - Moscow: Nauka, 1977. - 252 p. (in Russian)
2. Vlasov E.V., Ginevsky A.S. Influence of Acoustic Disturbances on Transition of Laminar Boundary Layer to Turbulent one. TsAGI, Scientific Notes Volume II, №2, pages 1-10, 1971. (in Russian)
3. Polyakov N.F. Inducing Hydrodynamic Waves in Laminar Boundary Layer by Longitudinal Sound Field. Novosibirsk: Nauka, p.p. 216-223, 1975. (in Russian)
4. Kachanov Y.S., Kozlov V.V., Levchenko V.Ya. Arising Turbulence in a Boundary Layer. Novosibirsk: Nauka, 151 pages, 1982. (in Russian)
5. Voronkov S.S. On module of Elasticity of Viscous Heat-Conducting Gas. Electronic Journal Technical Acoustics, http://www.ejta.org, 2010, 4. (in Russian)
6. Voronkov S.S. On Sound Velocity in Viscous Gas Flow with Transverse Shift. Electronic Journal Technical Acoustics, http://www.ejta.org, 2004, 5. (in Russian)


 

Sergey S. Voronkov graduated from Leningrad Polytechnic Institute (Russia) in 1979, PhD. Presently he is head of department at Pskov State University. Scientific area: hydrodynamics, nonlinear acoustics.

e-mail: voronkovss(at)yandex.ru