Compressible flow (or gas dynamics) is the branch of fluid mechanics that deals with flows having significant changes in fluid density. While all flows are compressible, flows are usually treated as being incompressible when the Mach number (the ratio of the speed of the flow to the speed of sound) is smaller than 0.3 (since the density change due to velocity is about 5% in that case).[1] The study of compressible flow is relevant to high-speed aircraft, jet engines, rocket motors, high-speed entry into a planetary atmosphere, gas pipelines, commercial applications such as abrasive blasting, and many other fields.
^Anderson, J.D., Fundamentals of Aerodynamics, 4th Ed., McGraw–Hill, 2007.
Compressibleflow (or gas dynamics) is the branch of fluid mechanics that deals with flows having significant changes in fluid density. While all flows...
disturbances within the flow are relatively small, which allows mathematicians and engineers to linearize the compressibleflow equations into a relatively...
technologies. Recent work in aerodynamics has focused on issues related to compressibleflow, turbulence, and boundary layers and has become increasingly computational...
purposes in compressibleflow, the stagnation enthalpy or stagnation temperature plays a role similar to the stagnation pressure in incompressible flow. Stagnation...
negligible. In this case the flow can be modelled as an incompressible flow. Otherwise the more general compressibleflow equations must be used. Mathematically...
is a measure of the compressibility characteristics of fluid flow: the fluid (air) behaves under the influence of compressibility in a similar manner...
extended to include compressibleflows. For compressibleflow the isentropic relations can be used (also valid for incompressible flow): q = p s ( 1 + γ...
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...
Choked flow is a compressibleflow effect. The parameter that becomes "choked" or "limited" is the fluid velocity. Choked flow is a fluid dynamic condition...
applicable. However, potential flows also have been used to describe compressibleflows and Hele-Shaw flows. The potential flow approach occurs in the modeling...
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...
Fanno flow is the adiabatic flow through a constant area duct where the effect of friction is considered. Compressibility effects often come into consideration...
transonic and compressibleflow, the Mach and Reynolds numbers alone allow good categorization of many flow cases.[citation needed] Hypersonic flows, however...
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...
Illingworth, C. R. (1950). "Some solutions of the equations of flow of a viscous compressible fluid". Mathematical Proceedings of the Cambridge Philosophical...
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...
due to an increase of pressure is called compressibleflow. Real gases are characterized by their compressibility (z) in the equation PV = zn0RT. When the...
by a slight change of pressure added to a compressibleflow. These weak waves can combine in supersonic flow to become a shock wave if sufficient Mach...
considered. Compressibility effects often come into consideration, although the Rayleigh flow model certainly also applies to incompressible flow. For this...
supersonic aircraft. The aerodynamics of supersonic flight is called compressibleflow because of the compression associated with the shock waves or "sonic...
flow of compressible fluids can, to a good approximation, be modelled as incompressible flow. The fundamental requirement for incompressible flow is that...
incompressible and compressible LES governing equations, which lead to the definition of a new filtering operation. For incompressible flow, the continuity...
incompressible and compressibleflow generally depends on the Mach number M, where for a range of zero to supersonic compressible equations are applied...
momentum flow rate as occurs in the real fluid with the boundary layer. The momentum thickness definition for compressibleflow based on the mass flow rate...
{I} } is the identity tensor. The Newton's constitutive law for a compressibleflow results from the following assumptions on the Cauchy stress tensor:...
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