Extension of compressible ideal-gas rapid distortion theory to general mean velocity gradients Academic Article uri icon


  • The homogeneity condition in compressible flows requires that mean velocity gradient and mean thermodynamic variables must be spatially invariant. This has restricted the use of rapid distortion theory (RDT) for compressible flows to a small set of mean-velocity gradients. By introducing an appropriate body force, we show that the homogeneity condition can be satisfied for a large class of compressible turbulence. We proceed to derive RDT spectral covariance equations of all relevant moments and recover the limiting behavior at vanishing and infinite (pressure-release) Mach numbers for homogeneous shear, plain-strain, axisymmetric expansion, and contraction cases. © 2007 American Institute of Physics.

author list (cited authors)

  • Yu, H., & Girimaji, S. S.

citation count

  • 6

publication date

  • April 2007