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Introduction to Compressible Flow

1 Introduction to Compressible Flow0 DtD The density of a gas changes significantly along a streamlineCompressible FlowDefinition of Compressibility: the fractional change in volume of the fluid element per unit change in pressure ppppvdpp+dpp+dpp+dpp+dvv Compressible Number:2. Compressibility becomes important for High Speed flows where M > M < Subsonic & incompressible <M < Subsonic & Compressible <M < transonic flow shock waves appear mixed subsonic and sonic flow regime <M < - Supersonic shock waves are present but NO subsonic flow M > Hypersonic Flow, shock waves and other flow changes are very strongsound of speed velocitylocal==cVM2 Compressible Flow3. Significant changes in velocity and pressure result in density variations throughout a flow field4. Large Temperature variations result in density a result we now have two new variables we must solve for:T & We need 2 new will solve: mass, linear momentum, energy and an equation of Effects of Compressibility on Flow1.

Flow ≠0 Dt Dρ The density of a gas changes significantly along a streamline Compressible Flow Definition of Compressibility: the fractional change in volume of the fluid element per unit change in pressure p p p p v p +dp p +dp p +dp p +dp v −dv Compressible Flow 1. Mach Number: 2. Compressibility becomes important for High Speed Flows ...

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