Show from first principles that the relatoinship between the centre line velocity and the velocity at radius r, for laminar fully developed pipe flow is: Wo = (R)* Show that the area averaged velocity is equal to half the centre line velocity. Prove that the axial pressure gradient is given by: cp 8um xprR* 10 5 And comment on the effect of radius inaccuracies on microfluidic pressure losses at a given mass flow rate. 10