# Transonic flow of a fluid with positive and negative nonlinearity through a nozzle

@article{Chandrasekar1991TransonicFO, title={Transonic flow of a fluid with positive and negative nonlinearity through a nozzle}, author={Devi Chandrasekar and Phoolan Prasad}, journal={Physics of Fluids}, year={1991}, volume={3}, pages={427-438} }

The one‐dimensional transonic flow of an inviscid fluid, which at large values of the specific heats exhibits both positive (Γ>0) and negative (Γ<0) nonlinearity regions {Γ=(1/ρ)[∂(ρa)/∂ρ]s} and which remains in a single phase, is studied. By assuming that Γ changes its sign in the small neighborhood of the throat of the nozzle where transonic flow exists and introducing a new scaling of the independent variables, an approximate first‐order partial differential equation (PDE) with a nonconvex…

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