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

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...

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

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

the effects of compressibility on the P-38 aircraft in 1942. Mach number is a measure of the compressibility characteristics of fluid flow: the fluid (air)...

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

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...

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

incompressible flow shows that the stagnation pressure is equal to the dynamic pressure and static pressure combined.: § 3.5  In compressible flows, stagnation...

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

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...

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...

due to an increase of pressure is called compressible flow. Real gases are characterized by their compressibility (z) in the equation PV = zn0RT. When the...

considered. Compressibility effects often come into consideration, although the Rayleigh 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...

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

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

and Thermodynamics of Compressible Fluid Flow, published in 1953 and 1954, is considered a classic. His 1961 book Shape and Flow: The Fluid Dynamics of...

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

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

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

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...

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...

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...

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

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...

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

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

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...

Isothermal flow is a model of compressible fluid flow whereby the flow remains at the same temperature while flowing in a conduit. In the model, heat...