ABAQUS Analysis User's Manual. This effect is introduced by defining the fraction of the rate of inelastic dissipation that appears as a heat flux per volume.
- Abaqus User's Manual
- Abaqus Analysis User's Manual Pdf
- Abaqus Manual Pdf
- Abaqus Analysis User's Manual
- Abaqus Analysis User's Manual
According to Forchheimer's law, high flow velocities have the effect of reducing the effective permeability and, therefore, “choking” pore fluid flow. As the fluid flow velocity reduces, Forchheimer's law approximates the well-known Darcy's law. Darcy's law can, therefore, be used directly in ABAQUS/Standard by omitting the velocity-dependent term in Forchheimer's law.
Forchheimer's law is written as
where
is the volumetric flow rate of wetting liquid per unit area of the porous medium (the effective velocity of the wetting liquid);
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is the fluid saturation ( for a fully saturated medium, for a completely dry medium);
is the volume of grains of solid material in the medium;
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is the volume of trapped wetting liquid in the medium;
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is a “velocity coefficient,” which may be dependent on the void ratio of the material;
is the dependence of permeability on saturation of the wetting liquid such that at ;
Abaqus Analysis User's Manual
is the magnitude of the gravitational acceleration;
Abaqus Analysis User's Manual
is the permeability of the fully saturated medium, which can be a function of void ratio (, common in soil consolidation problems), temperature (), and/or field variables ();