Analyzing Turbulent Wake Flow
Using PIV System
ME 3300 Fluid Mechanics
Winter 2013
Joseph Stoiko
az1611
ABSTRACT
This laboratory experiment utilizes a Particle Image Velocimetry (PIV) system for the qualitative
visualization of a flow field. With the PIV
ME 3300 Fluid Mechanics: Theory and Laboratory
Course Syllabus
Mechanical Engineering Department
Wayne State University, Detroit, Michigan 48202
Term:
2013 Winter Term
Class Schedule: CRN 20045, LCT 5:307:20PM, Mon/Wed (Room 2351 ENGR BLDG)
Course Website
ENGR3235 Homework 3
Due: Tue. 2/17/15
Name_
Note: The answers are given for your reference. Your answer could
be slightly different from the one given here because of round-off
errors etc. Please inform the instructor if you notice any errors.
Please foll
Problem 5.94
Given:
Horizontal, fully developed flow
Find:
Velocity Profile and pressure gradient
[Difficulty: 3]
Solution:
u v w
0
x y z
Governing
Equations:
(Continuity Equation)
2u 2u 2u
u
u
u
u
P
u
v
w g x
2 2 2
x
y
z
x
y
z
t
x
2v 2v
Problem 7.11
Given:
That drag depends on speed, air density and frontal area
Find:
How drag force depend on speed
Solution:
Apply the Buckingham procedure
F
V
A
n = 4 parameters
Select primary dimensions M, L, t
F
V
ML
L
t
M
A
r = 3 primary dimensions
t
Problem 6.82
[Difficulty: 4]
Given:
Water flow out of tube
Find:
Pressure indicated by gage; force to hold body in place
Solution:
Basic equations: Bernoulli, and momentum flux in x direction
p
2
+
V
+ g z = constant
2
Q = V A
Assumptions: 1) Steady flow
Problem 7.64
[Difficulty: 2]
Given:
Model of wing
Find:
Model test speed for dynamic similarity; ratio of model to prototype forces
Solution:
We would expect
From Buckingham
F F( l s V )
F
2
V l s
For dynamic similarity
where F is the force (lift or dra
Problem 6.56
Given:
Flow through tank-pipe system
Find:
Velocity in pipe; Rate of discharge
[Difficulty: 2]
Solution:
Basic equations
p
2
+
V
+ g z = const
2
p = g h
Q = V A
Assumptions: 1) Incompressible flow 2) Inviscid 3) Steady 4) Along a streamline
H
Problem 7.56
Given:
[Difficulty: 3]
Find:
Airship is to operate at 20 m/s in air at standard conditions. A 1/20 scale model is to be tested in a wind tunnel at
the same temperature to determine drag.
(a) Criterion needed to obtain dynamic similarity
(b) A
Midterm review
Example 1:
Midterm review
Example 2:
Midterm review
Example 3:
Midterm review
Example 4:
Midterm review
Example 5:
Midterm review
Example 6:
Midterm review
Example 7:
Midterm review
Example 8:
Midterm review
Example 9:
Modeling of Fluid Flow
and Heat Transfer in a
Mixing Elbow
Task:
1. Get familiar with ANSYS
Workbench (especially ANSYS
Fluent) by completing the
tutorial step by step;
2. Write a brief report that
includes:
Problem Description (i.e. the
problem under con
ENGR3235 Homework 4
Due: Thu. 3/12/15
Name_
H4-1: Consider steady, incompressible flow of water through the device shown below.
Determine the volume flow rate and the flow direction (inwards or outwards) at port 3.
& = 0.2 m 3 / s, please determine the fl
Lecture 4
Outline
Introduction and Basic Concepts (Ch. 1)
Example
Properties of Fluids (Ch. 2)
Fluid as a continuum
Density, specific gravity, and specific weight
Viscosity
Example
ENGR 3235 Fluid Mechanics
Example
It takes 12.3 seconds for a
forklif
Basic Equations for ENGR 3235 (Fluid Mechanics)
Note: It is your responsibility to determine which equations apply or
do not apply to the problem under consideration.
(1) Fluid Statics
dP
= g
dh
r
FR = FR = PdA
A
P = P0 + gh
x P = xC +
FB = gV
FH = Fx
FR
1/29/2015
Chapter 3
Pressure and Fluid Statics
ENGR 3235 Fluid Mechanics
3-1 Pressure
Pressure is defined as a normal force
exerted by a fluid per unit area.
The actual pressure at a given position
is called the absolute pressure and it is
measured rela
Lecture 24
Outline
Internal Flow (Ch. 8)
The entrance region
Energy considerations in internal flow
Example
ENGR 3235 Fluid Mechanics
The Entrance Region
Consider a laminar flow in a circular pipe, as shown below.
The flow has uniform velocity at the p
Lecture 12
Outline
Fluid Kinematics (Ch. 4)
Example: types of motion of a fluid element
Reynolds transport theorem
ENGR 3235 Fluid Mechanics
Example
A steady, incompressible, two-dimensional velocity field is
v
v
given by v
V = (a1 + b1 x ) i + (a2 + b2
Basic Equations for ENGR 3235 (Fluid Mechanics)
Note: It is your responsibility to determine which equations apply or
do not apply to the problem under consideration.
(1) Fluid Statics
dP
= g
dh
r
FR = FR = PdA
A
P = P0 + gh
A
A
FR , net = PC , gage A
x P
Lecture 26
Outline
Differential Analysis of Fluid Flow (Ch. 9)
Differential momentum equation
Example
Introduction to computational fluid dynamics (CFD)
ENGR 3235 Fluid Mechanics
Differential Momentum Equation
r
rr
r
( V )
+ ( VV ) = g + T.
t
rr
r
r r
Lecture 30
Outline
Open-channel Flow (Ch. 13)
Basic concepts
Speed of surface waves
Energy equation for open-channel flows
Example
Final exam information
ENGR 3235 Fluid Mechanics
Flow in Open Channels: Basic Concepts
An open-channel flow is a flow o
Lecture 10
Outline
Fluid Kinematics (Ch. 4)
Example: material derivative
Flow visualization
Streamlines and streamtubes
Pathlines, streaklines, and timelines
Calculation of streamlines and pathlines
Example
ENGR 3235 Fluid Mechanics
Example
A steady
Fluid Mechanics ME 3300
Analyzing Turbulent Wake Flow
Using PIV System
Laboratory Procedure
Wayne State University
Department of Mechanical Engineering
Figure 1: Experimental Test Setup
Remarks for the lab solution procedures:
1- Understand the data you h