Exercise 4.IV Sizing a network of heating pipes

Write out the head variation between the furnace outlet and the inlet of shop n. Justify that the singular pressure drop coefficient, defined by AH = pg U / 2, should decrease as the secondary pipe cortsidered gets further away from the furnace. 

Secondary pipe n- is blocked at 80% (that is, S, i/So= 0.2) and the regular head loss in the trunk line between the bianching-off points for secondaiy pipes n- and n is AP = 5 Pa. What should the blocking rate of secondaiy pipe n be Use this result to explain that we are usually forced to block secondary pipes strongly in order to maintain the same flow rate in all secondary pipes. The fluid is air (density 1 kg/m, kinematic viscosity 2x 10 m /s). The velocity in the secondaiy pipe is U= 1.5 m/s. 

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