MENG353 - FLUID MECHANICS
CHAPTER 4 FLUID KINEMATICS
ASSOC.PROF.DR.HASAN HACIŞEVKİ
FALL 2017 - 18
EASTERN MEDITERRANEAN UNIVERSITY
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SOURCE: FUNDAMENTALS OF FLUIDMECHANICS
MUNSON,P.GERHART,A.GERHART and HOCHSTEIN
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The basic equations given in section, involving the time derivative of extensive
properties (mass, linear momentum, angular momentum, energy) are required
to analyse any fluid problem. In solid mechanics, we often use a system
representing a quantity of mass of fixed identity. The basic equations are
therefore directly applied to determine the time derivatives of extensive
properties. However, in fluid mechanics it is convenient to work with control
volume, representing a region in space considered for study. The basic
equations based on system approach can not directly applied to control volume
approach.
Fig.4,10 illustrates different types of control volume: fixed control volume,
control volume moving at a constant speed and deforming control volume. In
this section, it is aimed to derive a relationship between the time derivative of
system property and the rate of change of that property within a control volume.
This relationship is expressed by the Reynolds Transport Theorem (RTT) which
establishes a link between the system and control volume approaches.
Before deriving the general form of the RTT, a derivation for one dimensional
fixed control volume is explained in the next section.
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