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FLOW OF COMPRESSIBLE FLUIDS
OPEN CHANNEL FLOW
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adiabatic angle applied assuming axis boundary layer calculate channel Chezy circle coefficient complex potential complex potential function compressible Consider constant continuity equation coordinates corresponding cosh critical depth curve decreases density diameter dimensional analysis direction downstream drag energy equation entropy epicycloid example expression flat plate force formula friction ft/sec gives heat Hence hydraulic jump incompressible integral isentropic isentropic flow Joukowski transformation laminar Mach number mass flow maximum mean velocity method momentum equation Navier-Stokes equations Newtonian fluid non-Newtonian fluids nozzle obtained orifice particle pipe plane Prandtl pressure gradient radius ratio Reynolds number shear stress shock wave shown in Figure sin2 sinh stagnation points stagnation pressure steady flow stream function streamlines subsonic Substituting surface temperature theorem thickness throat transformation turbulent flow upstream vector velocity components velocity distribution viscosity vortex vortices weir width zero