The rheological properties of a particular suspension may be approximated reasonably well by either a power-law or Bingham-plastic model over the shear rate range of 10 to 50 s-1 .

a) What will be the pressure drop, when the suspension is flowing under laminar conditions in a pipe 200 m long and 40 mm diameter, when the centre-line velocity is 1 m/s, according to the power law model?

b) Calculate the centre-line velocity for this pressure drop for the Bingham-plastic model.