Question

A pump generates high pressure water as indicated in fig 3. The Inlet pressure and outlet pressure are 110 and 300 kPa respectively. The mass flow rate is 3 kg/sec. The inlet pipe is 1 inch diameter and outlet pipe is 0.5 inch. Neglect elevation difference and internal energy changes across inlet and outlet. a) Culculate velocity İf water at inlet and outlet(5) b) Choose a suitable control volume, and write down and expression for conservation of energy applicable to the pump (10) c) Caleulate the he work input required to the pump(5) (20) P2 300 k Pa 02 0.5 inch P1- 110 kPa 01- 2 Inch Pump 3kg/sec. Neglect elevation difference and Internal energy change across 1 and 2 Fig.3 The pressure drop rise across a pump can be expressed as Ap-/(D, p,a, Q) where D is the diameter of the impeller, ρ the fluid density, ω the rotational speed (rad/sec) and Q the volumetric flow rate. Determine the dimensional groups involved (Use D, p, o as repeating variables) in this 5-variable problem (Note the unit of rotational speed is l/sec) (20) Write down Z momentum equation of Navier-Stokes (5). Discuss meaning of each term (10) Simplify it to Euler's equation of motion for fluid. (S) (20)

Answer 1