Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
7th Edition
ISBN: 9780072848236
Author: Warren McCabe, Julian C. Smith, Peter Harriott
Publisher: McGraw-Hill Companies, The
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Chapter 4, Problem 4.9P

(a)

Interpretation Introduction

Interpretation:

The variation between the total momentum and the product of mass flow rate and average velocity is to be determined.

Concept Introduction:

The volumetric flow rate of a fluid is given as,

  Q =u×S ..... (1)

Q = Volumetric flow rate of the fluid

u = Fluid velocity

S = Total cross-section area

The mass flow rate is given as,

   m ˙=ρ×Q ..... (2)

   m ˙ = Mass flow rate of the fluid

  ρ = Density of fluid

The average velocity if the fluid is,

   u ¯=QS ..... (3)

The momentum of the fluid is the product of the mass flow rate and the velocity of the fluid.

  M=ρu2S ..... (4)

M = Momentum of the fluid

(b)

Interpretation Introduction

Interpretation:

The situation at which momentum flow is equal to the product of mass flow and average velocity is to be determined.

Concept Introduction:

The volumetric flow rate of a fluid is given as,

  Q =u×S ..... (1)

Q = Volumetric flow rate of the fluid

u = Fluid velocity

S = Total cross-section area

The mass flow rate is given as,

   m ˙=ρ×Q ..... (2)

   m ˙ = Mass flow rate of the fluid

  ρ = Density of fluid

The average velocity if the fluid is,

   u ¯=QS ..... (3)

The momentum of the fluid is the product of the mass flow rate and the velocity of the fluid.

  M=ρu2S ..... (4)

M = Momentum of the fluid

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Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:9780072848236
Author:Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:McGraw-Hill Companies, The