# Euler eqs in a duct of a variable cross-section

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 May 28, 2002, 14:15 Euler eqs in a duct of a variable cross-section #1 Nikolai Andrianov Guest   Posts: n/a Hello, does anybody know the good, classical reference for the derivation of the Euler eqs of gas dynamics in the duct of variable cross-section? Thanks, Nikolai.

 May 31, 2002, 15:30 Re: Euler eqs in a duct of a variable cross-sectio #2 Sachin Guest   Posts: n/a continuity d(rho*A)/dt + d(rho*u*A)/dx = 0 momemtum d(rho*u*A)/dx + d(rho*u*u + p)*A/dx - p*dA/dx -0.5*rho*u*u*f*pi*D = 0 energy d(rho*e*A)/dt + d(rho*u*h*A)/dx - q*rho*A = 0 A is the area of cross section, rho,u,e,h,a have usual meanings, f = wall friction, q = heat transfer I read this from "Unsteady flow of compressible gas in pipes".. Winterbone and Pearson

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