1. Gas-Particle Nonequilibrium Nozzle Flows: Concept of Virtual Speed of Sound and Similar Solutions
- Author
-
R. K. Thulasiram and N. M. Reddy
- Subjects
Physics ,Isothermal flow ,Nozzle ,Aerospace Engineering(Formerly Aeronautical Engineering) ,Aerospace Engineering ,Non-equilibrium thermodynamics ,Mechanics ,Tuyere ,Physics::Fluid Dynamics ,symbols.namesake ,Classical mechanics ,Mach number ,Speed of sound ,symbols ,Particle velocity ,Two-phase flow - Abstract
An attempt is made to obtain similar solutions for gas-particle nonequillibrium nozzle flows. Modified defitions for speed for sound and Mach number are proposed for this study. The governing equations are transformed into a similar form and a single correlating parameter is obtained. The limiting (equillibrium and frozen) speeds of sound are shown to be derivable from the modified definition. The numerical results transpire several interesting phenomena occurring in the nozzle. For example, the approach to isothermal condition of the flow at very large loading ratio is proved with no assumption regarding the lag of the particles. By varying the numerical values of the general correlating parameter, the complete nonequillibrium regime of the flow can be scanned. With the present similar solutions, the flow quantities in a nozzle can be readily determined for different particle sizes, loading ratios, reservoir conditions, and for a family of nozzle shapes without resorting to complex computer programs.
- Published
- 1992