Answer Happy

B1 [10] a) Using the techniques of dimensional analysis show that the discharge Q along a smooth pipe connecting two water reservoirs is given by (L h k Qp 90.5D25 D'D'D'Du =fn where h is the difference in water level between the two reservoirs, L is the length of the pipe, D is its diameter and k is the pipe roughness, pand u are the density and dynamic viscosity of water and g is the acceleration due to gravity. b) For the same situation show, through the use of the energy equation, that, if the friction factor f is constant, then the discharge is given by [5] 42 Q = 2gh fL EDR 4 c) Show that the two expressions above are consistent with each other [10]