Compressibility effects on pressure fluctuation in compressible turbulent channel flows
Ming Yu, Chunxiao Xu, Sergio Pirozzoli
Abstract
Compressibility effects on pressure fluctuations in wall-bounded turbulent flows at various Mach numbers are investigated by deriving a pressure Poisson equation that allows splitting pressure fluctuations into rapid and slow terms, as in incompressible flows, and into additional mass-flux and viscous terms. The rapid and slow terms are further split into their solenoidal and dilatational components by using Helmholtz decomposition. The solenoidal components are found to be independent of Mach number and similar to incompressible flows, whereas the dilatational components increase quadratically with Mach number.
Topics & Concepts
Mach numberCompressibilitySolenoidal vector fieldMechanicsTurbulencePhysicsOverall pressure ratioCompressible flowClassical mechanicsThermodynamicsGas compressorVector fieldFluid Dynamics and Turbulent FlowsComputational Fluid Dynamics and AerodynamicsAerodynamics and Acoustics in Jet Flows