mechanics, or more generally continuum mechanics, incompressible flow (isochoric flow) refers to a flow in which the material density of each fluid parcel...

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...

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

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...

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

{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...

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...

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

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...

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

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

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...

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

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)...

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...

although the Fanno flow model certainly also applies to incompressible flow. For this model, the duct area remains constant, the flow is assumed to be steady...

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

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

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

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

for the incompressible flow the strain rate is purely deviatoric since there is no dilation (e=0). In other words, for an incompressible flow the isotropic...

quantity in a control volume around a given point in space. For incompressible flow, the divergence of the volume flux is zero. As mentioned above, chemical...

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

using sieves — with units of length). For stationary, creeping, incompressible flow, i.e. ⁠D(ρui)/Dt⁠ ≈ 0, the Navier–Stokes equation simplifies to the...

compressible medium and increasing exit velocities, unlike single-phase incompressible flow where closing a valve would decrease exit velocities Can give rise...

equations are neglected. Then the flow equations become, for an incompressible steady flow: ∇ p = μ ∇ 2 u = − μ ∇ × ω , ∇ ⋅ u = 0 , {\displaystyle {\begin{aligned}&\nabla...