Steady flow through ducts

Various cases of gas-particle flow through nozzles are discussed. It is demonstrated that a particle volume which cannot be neglected at high loading ratios leads to major complications. Relatively simple solutions of the equations can be obtained by inverse techniques in which the particle velocity along the nozzle is prescribed. The corresponding nozzle shape then must be determined together with the other flow variables. Nozzles which the ratio of the particle velocity to the gas velocity is constant are discussed in some detail. At high practical loading, the flow can be treated as isothermal, and considerable simplifications of the analysis result.