Abstract
Thee nal stateoftheinteractionofacompressiblee owwith aspray orsolidparticledispersionin aconstant-area straight duct is analyzed using e uid mechanics in a control-volume approach. The variations of the e ow Mach numberatlowvaluesoftheliquid volumefraction arecalculatedforadiabaticinteractionbetweenthegase owand the particles. The e ow can be choked by effect of the particles in a way analogous to that of heat addition or wall friction, although isentropic interactions leading to a change from subsonic to supersonic e ow are also possible. The e nal e ow condition depends on the initial velocity of the particles and the particle e ow rate. The effects of downstream pressure changes are discussed. The interaction can also be represented in a temperature-entropy diagram, yielding lines similar to those obtained in cases with heat addition or wall friction. Nomenclature A = local section area Cp = specie c heat at constant pressure c = speed of sound k = adiabatic exponent, Cp/Cv M = Mach number mL = mass e ow rate of the spray ms = relative spray/aire ow ratio P = pressure Rg = ideal gas constant S = gas specie c entropy T = gas temperature V = velocity q = density s = temperature ratio T2/ T1 Subscripts g = of the gas L = of the particles 1 = before phase interaction 2 = after complete phase interaction 0 = conjugated (across a normal shock wave )
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