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Chapter

# Chapter 5 CV And Continuity

Department
Civil Engineering
Course Code
CE 2200
Professor
All

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CE 2200/Willson February 27, 2015 1
Fluid Flow Concepts and Basic
Control Volume Equations
Introduction
Control Volume Conservation Equation
Conservation of Mass/Continuity
CE 2200
Fall 2015
Chapter 5
Dot Product
u v u v = cos
θ
q!
u
v
normal unit vector, n
magnitude of one
direction is normal to the surface
Area vector, A = nA
Differential Area vector, dA = ndA n
A
Surface

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CE 2200/Willson February 27, 2015 2
Flow Rate
dA
V
=Δ=
area
area
Q v dA
area
=cos
θ
Q v A= •
dA
V
Flow Rate
Mean, or average velocity
turbulent flow: the mean velocity may closely approximate
the actual flow
laminar flow: the mean velocity probably doesnt approximate
the actual flow

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CE 2200/Willson February 27, 2015 3
Control Volume Approach
System: a given quantity of matter
For solids---use system approach with Lagrangian viewpoint
For fluids---this approach is too complicated for most systems
Control Volume Approach
mass momentum energy
Extensive Property, B
Intensive Property, β = B/m

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