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Low-order moments of the velocity gradient in homogeneous compressible turbulence
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Low-order moments of the velocity gradient in homogeneous compressible turbulence
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Journal Article
Low-order moments of the velocity gradient in homogeneous compressible turbulence
2022
Overview
We derive from first principles analytic relations for the second- and third-order moments of $\\boldsymbol{\\mathsf{m}}$, the spatial gradient of fluid velocity $\\boldsymbol{u}$, $\\boldsymbol{\\mathsf{m}} = \\nabla \\boldsymbol{u}$, in compressible turbulence, which generalize known relations in incompressible flows. These relations, although derived for homogeneous flows, hold approximately for a mixing layer. We also discuss how to apply these relations to determine all the second- and third-order moments of the velocity gradient experimentally for isotropic compressible turbulence.
Publisher
Cambridge University Press,Cambridge University Press (CUP)
Subject
