Compressible flow (or gas dynamics) is the branch of fluid mechanics that deals with flows having significant changes in fluid density. While all flows...

technologies. Recent work in aerodynamics has focused on issues related to compressible flow, turbulence, and boundary layers and has become increasingly computational...

disturbances within the flow are relatively small, which allows mathematicians and engineers to linearize the compressible flow equations into a relatively...

incompressible flows (e.g. most liquid flows and gases moving at low Mach number). More advanced forms may be applied to compressible flows at higher Mach...

negligible. In this case the flow can be modelled as an incompressible flow. Otherwise the more general compressible flow equations must be used. Mathematically...

purposes in compressible flow, the stagnation enthalpy or stagnation temperature plays a role similar to the stagnation pressure in incompressible flow. Stagnation...

is compressible, the rate of flow depends on whether the flow has become choked. If it is, then the flow may be calculated as shown at choked flow (although...

extended to include compressible flows. For compressible flow the isentropic relations can be used (also valid for incompressible flow): q = p s ( 1 + γ...

is a measure of the compressibility characteristics of fluid flow: the fluid (air) behaves under the influence of compressibility in a similar manner...

applicable. However, potential flows also have been used to describe compressible flows and Hele-Shaw flows. The potential flow approach occurs in the modeling...

and the velocity of the flow will increase. However, as the speed of the flow approaches the speed of sound, compressibility effects on the gas are to...

Choked flow is a compressible flow effect. The parameter that becomes "choked" or "limited" is the fluid velocity. Choked flow is a fluid dynamic condition...

less than minus one. In the flow of compressible fluids such as air, and particularly the high-speed flow of compressible fluids, 1 2 ρ v 2 {\displaystyle...

in the general continuum equations and in the incompressible flow section. The compressible momentum Navier–Stokes equation results from the following assumptions...

engineering, in particular fluid dynamics, the volumetric flow rate (also known as volume flow rate, or volume velocity) is the volume of fluid which passes...

certain compressible flow problems by incompressible-flow calculation methods. It also allows applying incompressible-flow data to compressible-flow cases...

flow of compressible fluids can, to a good approximation, be modelled as incompressible flow. The fundamental requirement for incompressible flow is that...

transonic and compressible flow, the Mach and Reynolds numbers alone allow good categorization of many flow cases.[citation needed] Hypersonic flows, however...

considered. Compressibility effects often come into consideration, although the Fanno flow model certainly also applies to incompressible flow. For this...

Illingworth, C. R. (1950). "Some solutions of the equations of flow of a viscous compressible fluid". Mathematical Proceedings of the Cambridge Philosophical...

conductivity. The Euler equations can be applied to incompressible and compressible flows. The incompressible Euler equations consist of Cauchy equations for...

the compressibility (also known as the coefficient of compressibility or, if the temperature is held constant, the isothermal compressibility) is a...

by a slight change of pressure added to a compressible flow. These weak waves can combine in supersonic flow to become a shock wave if sufficient Mach...

produce an oblique shock wave is to place a wedge into supersonic, compressible flow. Similar to a normal shock wave, the oblique shock wave consists of...

is for example the case of dense vapors, supercritical flows and compressible two-phase flows. With the term dense vapors, we indicate all fluids in the...

momentum flow rate as occurs in the real fluid with the boundary layer. The momentum thickness definition for compressible flow based on the mass flow rate...

considered. Compressibility effects often come into consideration, although the Rayleigh flow model certainly also applies to incompressible flow. For this...

stability of flows. External aerodynamics simulations of high-speed compressible flows are supported through solution of the compressible Euler or Navier-Stokes...

equations. Compressible Euler equations (EE): Start with the C-NS. Assume a frictionless flow with no diffusive heat flux. Weakly compressible Navier-Stokes...

supersonic aircraft. The aerodynamics of supersonic flight is called compressible flow because of the compression associated with the shock waves or "sonic...