The equation is:
SS = SS0 + V * SN, FOR SS > SS0
This is the plot of this equation:
A number of suspensions, slurries, and pulps approximate this bingham plastic behaviour; however, above ss0 the relationship may be non-linear. Examples are coal suspensions, latex paint, and printer's ink.
where K and n are constants.
For obvious reasons, the pseudoplastic is called a `power-law' fluid. And now a look at the curve for a pseudoplastic fluid:
Note that for a Pseudoplastic fluid , the exponent n is <1. As the shear stress increases, the slope of the graph decreases. In other words, the apparent viscosity gets less as mixing increases, so such fluids are also known as shear thinning.
Under certain conditions, a Pseudoplastic fluid could approximate either newtonian or Bingham Plasticfluid behaviour. Data taken at low shear rates might seem to be about linear and would pass through the origin as for a newtonian fluid. Data taken at higher shear rates might seem to extrapolate to intersect the axis above zero as for a Bingham plastic. Note: the Pseudoplastic fluid curve need not signify any eventual linear relationship between ss and sn, as is the case for a Bingham Plasticfluid or a newtonian fluid.
Dilatancy is often exhibited by highly concentrated solutions,particularly pvc pastes. The effect appears most common with materials consisting of irregularly-shaped particles that do not pack easily under high rates of shear. Considerable deviation from the power law can occur, and some pvc pastes appear dilatant over one range of shear rates, but pseudoplastic over another. The n can also vary with sn. Fluids obeying the power law relationship are also known as Ostwald-de Waele fluids.