Some Physical Considerations of the Hydrodynamic Stability of Parallel Flows of a Dusty Gas

Download or read book Some Physical Considerations of the Hydrodynamic Stability of Parallel Flows of a Dusty Gas written by J. T. C. Liu and published by . This book was released on 1965 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the physical implications of the stability of parallel flows of a dusty gas are studied. The energy balance of such a disturbed flow shows that the increase or decrease of the overall (gas plus particle) disturbance kinetic energy depends upon the relative magnitude of (1) energy dissipation due to the usual gas viscosity and augmented by the work done due to particle-gas interaction, and (2) energy conversion from the mean flow to the disturbances by both the gas and the particle Reynolds shear stresses. The viscous sublayer structure, where viscosity is known to be destabilizing, is deduced. It is shown that augmented phase shift of the gas velocity components, due to particle-gas interaction, tends to decrease the gas Reynolds shear stress but is eventually offset by their relative magnitude increase.