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Some Basic Variable Density Mechanisms in Turbulent Flows

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Variable Density Fluid Turbulence

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 69))

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Abstract

The aim of this chapter is to point out the existence and emphasize the understanding of some of those properties which make variable density turbulent flows different from the incompressible ones.

The equation governing the instantaneous vorticity is first derived in the general case: fluid with variable density and nonconstant physical properties. Then, new vorticity generation mechanisms, as compared with the constant density situation, are discussed.

The second section deals with correlations with density fluctuations (d.f.c.) which are necessarily introduced in any statistical treatment of the instantaneous Navier-Stokes equations. The “diffusive11 role of such d.f.c. is analyzed and discussed in low speed flows.

The last part of the chapter is devoted to specific mechanisms associated with dilatation fluctuations in pressure-correlation and dissipation terms. They are analyzed in relation with their contributions in various energy balance equations.

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© 2002 Springer Science+Business Media Dordrecht

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Chassaing, P., Antonia, R.A., Anselmet, F., Joly, L., Sarkar, S. (2002). Some Basic Variable Density Mechanisms in Turbulent Flows. In: Variable Density Fluid Turbulence. Fluid Mechanics and Its Applications, vol 69. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0075-7_6

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  • DOI: https://doi.org/10.1007/978-94-017-0075-7_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6040-2

  • Online ISBN: 978-94-017-0075-7

  • eBook Packages: Springer Book Archive

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