Whey exhibits non-Newtonian behavior with dilatant
characteristics, where the shear stress increases nonlinearly with shear rate increase.
11 and 12 predict the existence of the upper Newtonian viscosity [eta][infinity] both for pseudoplastic and dilatant
behavior, but it does not appear as the separate model parameter contrary to many other equations discussed later.
Anyway, such a dilatant
behaviour may be related to the fact that in this work the sludge samples were tested at very high temperature of about 45[degrees]C, which is unusual if one considers that generally the testing temperature does not exceed 35[degrees]C .
The value of the power-law index n = 1 corresponds to a Newtonian fluid, while n > 1 describes a dilatant
or shear-thickening fluid and 0 < n < 1 describes a pseudo-plastic or shear-thinning fluid.
For [[mu].sub.0] = 0 if r < 0 then a fluid is called a pseudo-plastic fluid, if r > 0 it is a dilatant
Engineering flow models have been used for all tests described in this paper Flow model Constitutive equation Newtonian [tau] = [mu] (du/dr) Bingham plastic [tau] = [[tau].sub.0] + [eta] (du/dr) Power law [tau] = K[(du/dr).sup.n] n > 1 - pseudoplastic, n < 1 - dilatant
Flow model Rheological parameters Newtonian [mu]--absolute viscosity Bingham plastic [[tau].sub.0]--yield-stress [eta]--coefficient of rigidity Power law K--consistency n > 1 - index pseudoplastic, n--flow behavior index n < 1 - dilatant
Mathematical calculation of the results based on Mytchka method showed that grape juice is a non-Newtonian shear-thickening fluid (Dilatant
The substance is known in technical terms as a "dilatant
non-Newtonian fluid" and is also marketed under the trademarks "D3o" or"D30."
Different mechanisms have been used for the micro- and mesomodeling, for example, nonlinear orthotropic model , smeared crack model , and dilatant
interface constitutive model .
Fitterman, "Electrokinetic and magnetic anomalies associated with dilatant
regions in a layered Earth," Journal of Geophysical Research, vol.
It is worthwhile to mention here that, for m < 0, the fluid is pseudoplastic or shear thinning; for m > 0, the fluid is dilatant
or shear thickening; for m = 0, we obtain second grade fluid model.
Media with p > 2 are called dilatant
fluids and those with p < 2 are called pseudoplastics.