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Chapter 1 Introduction and Basic Concepts

Solutions Manual for
Fluid Mechanics: Fundamentals and Applications
by Çengel & Cimbala

CHAPTER 1
INTRODUCTION AND BASIC CONCEPTS

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1-1
PROPRIETARY MATERIAL. © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to
teachers and educators forcourse preparation. If you are a student using this Manual, you are using it without permission.

Chapter 1 Introduction and Basic Concepts
Introduction, Classification, and System

1-1C
Solution

We are to define internal, external, and open-channel flows.

Analysis
External flow is the flow of an unbounded fluid over a surface such as a plate, a wire, or a pipe. The flow
in a pipe orduct is internal flow if the fluid is completely bounded by solid surfaces. The flow of liquids in a pipe is
called open-channel flow if the pipe is partially filled with the liquid and there is a free surface, such as the flow of
water in rivers and irrigation ditches.
Discussion
As we shall see in later chapters, there different approximations are used in the analysis of fluid flows based
ontheir classification.

1-2C
Solution

We are to define incompressible and compressible flow, and discuss fluid compressibility.

Analysis
A fluid flow during which the density of the fluid remains nearly constant is called incompressible flow.
A flow in which density varies significantly is called compressible flow. A fluid whose density is practically independent
of pressure (such as aliquid) is commonly referred to as an “incompressible fluid,” although it is more proper to refer to
incompressible flow. The flow of compressible fluid (such as air) does not necessarily need to be treated as compressible
since the density of a compressible fluid may still remain nearly constant during flow – especially flow at low speeds.
Discussion
It turns out that the Mach number is thecritical parameter to determine whether the flow of a gas can be
approximated as an incompressible flow. If Ma is less than about 0.3, the incompressible approximation yields results that
are in error by less than a couple percent.

1-3C
Solution

We are to define the no-slip condition and its cause.

Analysis
A fluid in direct contact with a solid surface sticks to the surface and thereis no slip. This is known as
the no-slip condition, and it is due to the viscosity of the fluid.
Discussion

There is no such thing as an inviscid fluid, since all fluids have viscosity.

1-4C
Solution
We are to define forced flow and discuss the difference between forced and natural flow. We are also to
discuss whether wind-driven flows are forced or natural.
Analysis
In forced flow,the fluid is forced to flow over a surface or in a tube by external means such as a pump or a
fan. In natural flow, any fluid motion is caused by natural means such as the buoyancy effect that manifests itself as the rise
of the warmer fluid and the fall of the cooler fluid. The flow caused by winds is natural flow for the earth, but it is
forced flow for bodies subjected to the winds since for...
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