mechanics, incompressible flow is a flow in which the material density does not vary over time. Equivalently, the divergence of an incompressible flow velocity...

special case of an incompressible flow, the pressure constrains the flow so that the volume of fluid elements is constant: isochoric flow resulting in a solenoidal...

of a potential flow is due to the curl of the gradient of a scalar always being equal to zero. In the case of an incompressible flow the velocity potential...

variations in the flow. Therefore, the fluid can be considered to be incompressible, and these flows are called incompressible flows. Bernoulli performed...

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

obstruction and abnormalities in the flow. By assuming steady-state, incompressible (constant fluid density), inviscid, laminar flow in a horizontal pipe (no change...

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

Ω ) n {\displaystyle H^{1}(\Omega )^{n}} . In the case that the flow is incompressible, or equivalently that ∇ ⋅ u = 0 {\displaystyle \nabla \cdot \mathbf...

{u} } the fluid velocity. To obtain the equations of motion for incompressible flow, it is assumed that the density, ρ {\displaystyle \rho } , is a constant...

a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant...

In mathematics, potential flow around a circular cylinder is a classical solution for the flow of an inviscid, incompressible fluid around a cylinder that...

Look up incompressible in Wiktionary, the free dictionary. Incompressible may refer to: Incompressible flow, in fluid mechanics incompressible vector field...

. {\displaystyle \mathbf {u} =\nabla \Phi .} If the flow is both irrotational and incompressible, the Laplacian of the velocity potential must be zero:...

primarily used to determine the approximation with which a flow can be treated as an incompressible flow. The medium can be a gas or a liquid. The boundary can...

Methods for Two-phase Incompressible Flows. Springer. ISBN 978-3-642-19685-0. Stewart, H.B.; Wendroff, H. (1984). "Two-phase flow: models and methods"...

fundamental relationship between pressure, density, and flow velocity for incompressible flow known today as Bernoulli's principle, which provides one...

kg/m3), and u is the flow speed in m/s. It can be thought of as the fluid's kinetic energy per unit volume. For incompressible flow, the dynamic pressure...

p 0 {\displaystyle p_{0}} is the flow's stagnation pressure This relationship is valid for the flow of incompressible fluids where variations in speed...

direction x of the flow velocity component v that is oriented along the direction y. We can now generalize to the case of an incompressible flow with a general...

incompressible (divergence-free), two-dimensional flows. The Stokes stream function, named after George Gabriel Stokes, is defined for incompressible...

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)...

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

come into consideration, although the Rayleigh flow model certainly also applies to incompressible flow. For this model, the duct area remains constant...

constant density fluid (including incompressible fluid) where ∇ρ = 0. Note that this is not the same as an incompressible flow, for which the barotropic term...

operation. For incompressible flow, the continuity equation and Navier–Stokes equations are filtered, yielding the filtered incompressible continuity equation...

formulation for incompressible Navier–Stokes equations can be used for finite element computations of high Reynolds number incompressible flow using equal...

at a stagnation point in a fluid flow. At a stagnation point the fluid velocity is zero. In an incompressible flow, stagnation pressure is equal to the...

method for 2D, transient, incompressible flow was the first treatment of strongly contorting incompressible flows in the world. The first paper with...

acceptable to make several assumptions: The flow is incompressible (this is not a good assumption for rapidly-varied flow) The Reynolds number is sufficiently...

Incompressibility may refer to: a property in thermodynamics and fluid dynamics, see Compressibility or Incompressible flow a property of a vector field...