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The incompressibility assumption is not required, but compressible flows are more difficult to work with and less common in chemical processes.
The third equation is the incompressibility condition.
The hardness of a material is directly related to its incompressibility, elasticity and resistance to change in shape.
In the first stage, an intermediate velocity that does not satisfy the incompressibility constraint is computed at each time step.
The pressure is determined from incompressibility and boundary condition , yielding:
Capable of moving much higher loads and providing much higher forces due to the incompressibility.
This model implies that if boron is more evenly distributed throughout the lattice then incompressibility could be higher.
The incompressibility constraint is therefore .
In such submarine earthquakes, gravity and the incompressibility of water force the seas above to react immediately to the change thousands of feet below.
From incompressibility .
This extra equation is the continuity equation describing the incompressibility of the fluid:
To ensure incompressibility of a hyperelastic material, the strain-energy function can be written in form:
Incompressibility may refer to:
The Mach number is used to evaluate whether the incompressibility can be assumed or the flow must be solved as compressible.
Liquids inside an internal combustion engine are extremely detrimental because of the incompressibility of liquids.
In high-speed flight the assumptions of incompressibility of the air used in low-speed aerodynamics no longer apply.
There is also an algebraic version of incompressibility: Suppose is a proper embedding of a compact surface.
In some fields, a measure of the incompressibility of a flow is the change in density as a result of the pressure variations.
In computational fluid dynamics, for the solution of an incompressible flow problem, the incompressibility condition acts as a constraint for the pressure.
For the period of time shorter than one wiggle, there is no mechanical rigidity; there is only mass, fluidity, and incompressibility.
This simple equation yields the entire solution for both and because of the constraint of irrotationality and incompressibility.
Because of its innate incompressibility, water in a connected piping system adjusts equally to pressure changes anywhere in the connected system.
Under the assumption of incompressibility, the density of a fluid parcel is constant and it follows that the continuity equation will simplify to:
Taking divergence of the momentum equation and using the incompressibility constraint, the pressure poisson equation is formed given by:
It is known for its hardness (see table above) and incompressibility and is targeted for some potential optical and electrical applications.