Question 3 The viscosity of a non-Newtonian fluid changes with the rate of shear according to the approximate relationship below: -0.5 Ha = k dux dr where u, is the viscosity, du/dr is the velocity gradient normal to the direction of motion. Show that the volumetric rate of streamline flow through a horizontal tube of radius a is: 2 TT . ( 2k1 where - AP is the pressure drop over a length 1 of the tube