Homework 1/Quiz 1 Combo

MEHB 332

NAME:

S.I.D:

SECTION:

DATE: 16/11/2015

An axial-flow pump is required to deliver 0.75 m3/s of water at a head of 15 J/kg. The

diameter of the rotor is 0.25 m, and it is to be driven at 500 rpm. The prototype is to be

modeled on a small test apparatus having a 2.25 kW, 1000 rpm power supply. For similar

performance between the prototype and the model, calculate the head, volume flow rate,

and diameter of the model. In order to solve these, you will need to formulate the

dimensionless Π groups first.

Pump head, h = f( ρ, µ, ω, D, Q)

And,

Pump power, P = f( ρ, µ, ω, D, Q)

ρ = water density

µ = water dynamic viscosity

ω = rotational speed (rpm)

D = rotor diameter

Q = volumetric flow rate