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Student Solutions Manual
to accompany
Engineering Fluid Mechanics, 7th Edition
Clayton T. Crowe and Donald F. Elger
October 1, 2001

ii

Contents
1 Introduction

1

2 Fluid Properties

5

3 Fluid Statics

9

4 Fluids in Motion

21

5 Pressure Variation in Flowing Fluids

35

6 Momentum Principle

45

7 Energy Principle

59

8 Dimensional Analysis and Similitude

69

9 Surface Resistance

79

10 Flow in Conduits

91

11 Drag and Lift

107

12 Compressible Flow

117

13 Flow Measurements

127

14 Turbomachinery

137

15 Varied Flow in Open Channels

143

iii

iv

CONTENTS

Preface
This volume presents a variety of example problems for students of fluid mechanics. It is a companion manual to the text, Engineering Fluid Mechanics,
7th edition, by Clayton T. Crowe, Donald F. Elger and John A. Roberson.
Andrew DuBuisson, Steven Ruzich, and Ashley Ater have provided help with
editing and with checking the solutions for accuracy.
Please transmit any comments or recommendations to
Professor Donald F. Elger
Mechanical Engineering Department
University of Idaho
Moscow, ID 83844-0902
delger@uidaho.edu
Phone: (208) 885-7889
FAX: (208) 885-9031

v

vi

PREFACE

Chapter 1

Introduction

Problem 1.1
Consider a glass container, half-full of water and half-full of air, at rest on
a laboratory table. List some similarities and differences between the liquid
(water) and the gas (air).

Solution
Similarities
1. The gas and the liquid are comprised of molecules.
2. The gas and the liquid are fluids.
3. The molecules in the gas and the liquid are relatively free to move about.
4. The molecules in each fluid are in continual and random motion.
1

2

CHAPTER 1. INTRODUCTION

Differences
1. In the liquid phase, there are strong attractive and repulsive forces between
the molecules; in the gas phase (assuming ideal gas), there are minimal
forces between molecules except when they are in close proximity (mutual
repulsive forces simulate collisions).
2. A liquid has a definite volume; a gas will expand to fill its container.
Since the container is open in this case, the gas will continually exchange
molecules with the ambient air.
3. A liquid is much more viscous than a gas.
4. A liquid forms a free surface, whereas a gas does not.
5. Liquids are very difficult to compress (requiring large pressures for small
compression), whereas gases are relatively easy to compress.
6. With the exception of evaporation, the liquid molecules stay in the container. The gas molecules constantly pas...
Student Solutions M anual
to a ccomp an y
E n g in e er ing F lu id Me ch anic s , 7
th
E d it io n
Cla yton T. Cro we and Donald F. Elger
October 1, 2001
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