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

DOI10.1063/1.858099zbMath0731.76038OpenAlexW2046851810MaRDI QIDQ3358446

Phoolan Prasad, D. Chandrasekar

Publication date: 1991

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/985bfb8886a22aa6ccc2855531a063fc022ffab6

zbMATH Keywords

conservation lawssteady transonic flowsRankine-Hugoniot shock conditionssonic pointexpansion shocksone-dimensional nozzle

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05)

Related Items (13)

Real gas effects on the normal shock behavior near curved walls ⋮ Diabatic supersonic flows of dense gases ⋮ Transonic flows of Bethe—Zel'dovich—Thompson fluids ⋮ Fanno processes in dense gases ⋮ On the numerical simulation of non-classical quasi-1D steady nozzle flows: capturing sonic shocks ⋮ Transonic nozzle flow of dense gases ⋮ Shock formation in the presence of entropy gradients in fluids exhibiting mixed nonlinearity ⋮ Shock regularization in dense gases by viscous–inviscid interactions ⋮ Analytical theory of homogeneous mean shear turbulence ⋮ Steady small-disturbance transonic dense gas flow past two-dimensional compression/expansion ramps ⋮ Nonclassical effects in two-dimensional transonic flows ⋮ Unsteady transonic nozzle flow of dense gases ⋮ Exact solutions to non-classical steady nozzle flows of Bethe–Zel’dovich–Thompson fluids

Cites Work

• A regularity theorem for a non-convex scalar conservation law
• Nonlinear stability and instability of transonic flows through a nozzle
• A scheme of the singularity-separating method for the nonconvex problem
• Multiple Steady States for 1-D Transonic Flow
• On the propagation of waves exhibiting both positive and negative nonlinearity
• Shock waves and phase changes in a large-heat-capacity fluid emerging from a tube
• Dissipative waves in fluids having both positive and negative nonlinearity
• Shock formation in fluids having embedded regions of negative nonlinearity
• Shock splitting in single-phase gases
• Trapped waves in the neighbourhood of a sonic-type singularity
• Regularity and large time behaviour of solutions of a conservation law without convexity
• A Fundamental Derivative in Gasdynamics
• Nonlinear wave propagation on an arbitrary steady transonic flow
• Equilibrium of arbitrary steady flows at the transonic points
• Negative shock waves

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