Chapter 9
Surface Resistance
CE 2200
Spring 2015
Form/Pressure Drag
Drag of Blunt Bodies and
Streamlined Bodies
Drag dominated by viscous
drag, the body is
_.
Drag dominated by pressure
drag, the body is _.
Whether the flow is viscousdrag dominated or pre
Energy Principle
Chapter 7
CE 2200
Fall 2015
How to get water uphill?
Convert hydraulic head into power?
Visualize the pressure in the
system
2.4 m
2m
50 L/s
HP = 10 m
4m
datum
Energy Equation
First law of thermodynamics: The heat QH added to a system
min
Dimensional Analysis and
Similitude
CE 2200
Fall 2015
Why?
Suppose
I want to build an irrigation canal,
one that is bigger than anyone has ever
built. How can I determine how big I have
to make the canal to get the desired flow
rate? Do I have to build a
Chapter 10
Flow in Conduits
CE 2200
Fall 2015
Types of Engineering Problems
How big does the pipe have to be to carry a
ow of x m3/s?
What will the pressure in the water
distribuGon system be when a re
Flowing Fluids and Pressure
Variation
CE 2200
Fall 2015
Overview
Navier-Stokes
(a
Equations
bit of vector notation.)
Simplified
to Euler s Equation
Simplified to Bernoulli's Equation
Generalization of Bernoulli s Equation
Pressure Variations
Analysis
Control Volume Review
Momentum Principle
Chapter 6
CE 2200
Spring 2015
Control
volume equation: Required to make
the switch from a closed to an open system
Any conservative property can be evaluated
using the control volume equation
mass,
energy, moment
Momentum Principle
Chapter 6
CE 2200
Spring 2015
Control Volume Review
Control
volume equation: Required to make
the switch from a closed to an open system
Any conservative property can be evaluated
using the control volume equation
mass,
energy, moment
Momentum Principle
Chapter 6
CE 2200
Spring 2015
Control Volume Review
Control
volume equation: Required to make
the switch from a closed to an open system
Any conservative property can be evaluated
using the control volume equation
mass,
energy, moment
Flowing Fluids and Pressure
Variation
CE 2200
Fall 2015
Overview
Navier-Stokes
(a
Equations
bit of vector notation.)
Simplified
to Eulers Equation
Simplified to Bernoulli's Equation
Generalization of Bernoullis Equation
CE 2200 Fluid Mechanics
Willson
Overview
Flowing Fluids and Pressure
Variation
CE 2200
Fall 2015
Pressure Variations
Navier-Stokes
(a
Equations
bit of vector notation.)
Simplified
to Eulers Equation
to Bernoulli's Equation
Generalization of Bernoullis Equation
Simplified
Analysis Ap
Fluid Flow Concepts and Basic
Control Volume Equations
CE 2200
Fall 2015
Chapter 5
Introduction
Control
Volume Conservation Equation
Conservation of Mass/Continuity
Dot Product
u v = u v cos
u
v
normal unit vector, n
magnitude of one
direction is
Fluid Flow Concepts and Basic
Control Volume Equations
CE 2200
Fall 2015
Chapter 5
Dot Product
u v = u v cos
u
v
normal unit vector, n
magnitude of one
direction is normal to the surface
Introduction
Control
Differential Area vector, dA = ndA
Surf
Fluid Flow Concepts and Basic
Control Volume Equations
CE 2200
Fall 2015
Chapter 5
Introduction
Control
Volume Conservation Equation
Conservation of Mass/Continuity
Dot Product
u v = u v cos
u
v
normal unit vector, n
magnitude of one
direction is
Definitions and Applications
Statics:
no relative motion between adjacent
fluid layers.
Shear
stress is zero
Only _ can be acting on fluid surfaces
Gravity
force acts on the fluid (_ force)
Applications:
Pressure
variation within a reservoir
Forces on
Flowing Fluids and Pressure
Variation
CE 2200
Fall 2015
Eulers Equation
Gives
d
al = ( p + z )
dl
the pressure variation due to weight and
acceleration
Assumes only gravity and pressure forces
Valid for
inviscid
steady
flow
along a streamline
For
rotat
Eulers Equation
Flowing Fluids and Pressure
Variation
CE 2200
Fall 2015
al =
Gives
the pressure variation due to weight and
acceleration
Assumes only gravity and pressure forces
Valid for
inviscid
steady
along
For
Bernoulli Equation
dp
1
Integrate for
Flowing Fluids and Pressure
Variation
CE 2200
Fall 2015
Eulers Equation
Gives
d
al = ( p + z )
dl
the pressure variation due to weight and
acceleration
Assumes only gravity and pressure forces
Valid for
inviscid
steady
flow
along a streamline
For
CE 22
Definitions and Applications
Statics:
no relative motion between adjacent
fluid layers.
Shear
stress is zero
Only _ can be acting on fluid surfaces
Upstream face of Hoover Dam
Crest thickness: 13.7 m
Base thickness: 201 m
WHY?
Gravity
force acts on the
Fluid Properties
CE 2200
Fall 2015
C.S. Willson
Fluid Properties
System,
Extensive & Intensive Properties
Mass and Weight
Relationships between Pressure and volume
Ideal
Gas Law
Flow of Heat
Bulk Modulus of Elasticity
Viscosity
Vapor
Pressure
Sur
Definitions and Applications
Statics:
no relative motion between adjacent
fluid layers.
Shear
stress is zero
Only _ can be acting on fluid surfaces
Gravity
force acts on the fluid (_ force)
Applications:
Pressure
variation within a reservoir
Forces on
Fluid Properties
System,
Extensive & Intensive Properties
and Weight
Relationships between Pressure and volume
Fluid Properties
Mass
Ideal
Gas Law
of Heat
Bulk Modulus of Elasticity
CE 2200
Fall 2015
C.S. Willson
Flow
Viscosity
Vapor
Pressure
Tens
Fluid Properties
CE 2200
Fall 2015
C.S. Willson
Fluid Properties
System,
Extensive & Intensive Properties
Mass and Weight
Relationships between Pressure and volume
Ideal
Gas Law
Flow of Heat
Bulk Modulus of Elasticity
Viscosity
Vapor
Pressure
Sur