A pipe 60 mm diameter and 450 m long slopes upwards at 1 in 50. An oil of viscosity `0.9 (Ns)/m^2` and specific gravity 0.9 is required to be pumped at the rate of 5 litres/sec.

• (i) Is the flow laminar?
• (ii) What pressure difference is required to attain this condition?
• (iii) What is the power of the pump required assuming an overall efficient of 65%?
• (iv) What is the centre-line velocity and the velocity gradient at pipe wall?
  

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