Bingham law
Ver: 1
DESCRIPTION
S = 2 * eta * D
where S is the extra-stress tensor, D is the rate of deformation tensor, and eta is the viscosity.
The shear-rate dependence
of the viscosity is denoted by a function F(g), where g is the shear-rate.
For the Bingham law,
the function F(g) is written as follows :
| F(g) | = fac + ystr / g | when g > gcrit |
| = fac + ystr / gcrit * (2 - g/gcrit) | when g < gcrit |
where fac is the zero shear-rate viscosity, ystr is a yield stress, and gcrit is a critical shear-rate. The above mentioned expression for the Bingham law has been selected in view of its C1-continuity at g = gcrit.
By default, fac = 1,
ystr = 1 and gcrit = 1.
NOTES
-1 Upper level menu 1 Modify fac = 1.0000000E+00 2 Modify ystr = 1.0000000E+00 3 Modify gcrit = 1.0000000E+00
The units for g and
the parameters fac, ystr and gcrit are :
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generalized Newtonian fluids (UM)
continuum equations (UM)
shear-rate dependence of viscosity
evolution (UM)
s-dependence
create a new task
system of units