Subsonic Turbulent Jets

Ginevsky, A. S.; Vlasov, Ye. V.; Karavosov, R. K.

doi:10.1007/978-3-540-39914-8_1

Cited by 1 publication

(1 citation statement)

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“…35 To calculate the unknown functions, we have used the conservation laws for the fluxes of momentum and energy. Usually these laws are derived from Reynolds equations for the mean values of these fluxes, 36,37 and that is why they contain the so-called turbulent viscosity. In Ref.…”

Section: A the Equations For Dynamical Constituentsmentioning

confidence: 99%

The transition to turbulence in slowly diverging subsonic submerged jets

Landa

McClintock

2012

Physics of Fluids

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We address the problem of how turbulence is created in a submerged plane jet, near to the nozzle from which it issues. We do so by making use of a WKB-like asymptotic expansion for approximate solution of a complex, linear, fourth-order differential equation describing small deviations from the steady-state stream function. The result is used as a generating solution for application of the asymptotic Krylov-Bogolyubov method, enabling us to find the spatial and temporal spectra of the turbulence in the first approximation. We have thus been able to find the complex eigenvalues and eigenfunctions, i.e., the natural waves. We show that, for any given set of parameters, there is a continuum of frequencies and, for each frequency, a continuum of phase velocities. Correspondingly, there is an infinite number of wavelengths. It follows that there is no unique dispersion law and, because of perturbations (however, small they may be), a regular temporal spectrum does not exist even in cases where the spatial spectrum is regular. C 2012 American Institute of Physics.

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Section: A the Equations For Dynamical Constituentsmentioning

confidence: 99%