Fundamentals of Momentum, Heat, and Mass Transfer
Fundamentals of Momentum, Heat, and Mass Transfer
6th Edition
ISBN: 9781118947463
Author: James Welty, Gregory L. Rorrer, David G. Foster
Publisher: WILEY
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Chapter 6, Problem 6.28P
Interpretation Introduction

Interpretation: The discharge velocity of the air − water mixture is to be determined by using the energy balance equation.

Concept introduction: The Energy balance given by the Bernoulli’s equation in which the sum of Potential head, Kinetic head and Pressure head is constant. The Bernoulli equation across 2 points of any system is given by:-

  P1ρg+v122g+ Z1+H=P2ρg+v222g+ Z2 ...... (1)

The notations used in equation (1) are:-

P1and P2are pressure at inlet and outlet

v1 and v2 are velocity at inlet and outlet

Z1 and Z2 are the locations of the fluid.

  ρ = Density of the fluid

H = Head developed

g = Acceleration due to gravity

The mass balance equation state that the mass flow in is equal to the mass flow out.

   m ˙M= m ˙A+ m ˙W ...... (2)

   m ˙M = Mass flow rate of the mixture

   m ˙A = Mass flow rate of the air

   m ˙W = Mass flow rate of the water

The mass flow rate is given as,

   m ˙=ρAv ...... (3)

A = Area of the pump

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