Lab 4: Linear Momentum Experiments
Purpose:
The purpose of this lab is to demonstrate the momentum theorem, with the scope of this lab
being restricted to linear momentum concepts. The lab will consist of two parts, one with water
and the other with air a
2517821f77b76b175b1a1c3242a9c8274a8fc304.xls
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
A
B
C
D
NOZZLE FLOW METER
mdot = C E A2 Y (2gc rho1 (p1 - p2)^.5
INPUT
patm =
in. hg
Temp =
deg. F
E
ME335
F
G
NOZFM335.XLS
14.06
P7=
Beta =
Y=
mu =
C=
E
Pre Lab Linear Momentum Equation
Fig. 1: Apparatus for Linear Momentum Experiments with Water as the Fluid.
For this lab, a pump will be used to push water from the intake, through the flow control valve,
and to form a jet of water that rises until it hit
Problem 2.31
[Difficulty: 4]
Given:
2D velocity field
Find:
Streamlines passing through (6,6); Coordinates of particle starting at (1,4); that pathlines, streamlines and
streaklines coincide
Solution:
v
For streamlines
u
=
a y
Integrating
3
dy
dx
b
=
2
a
Problem 2.30
[Difficulty: 4]
Given:
Velocity field
Find:
Plot of pathline for t = 0 to 3 s for particle that started at point (1,2) at t = 0; compare to streakline through same
point at the instant t = 3
Solution:
Governing equations:
up =
For pathlines
d
Problem 2.29
[Difficulty: 4]
Given:
Velocity field
Find:
Plot of streakline for t = 0 to 3 s at point (1,1); compare to streamlines through same point at the instants t = 0, 1
and 2 s
Solution:
Governing equations:
For pathlines
up =
dx
vp =
dt
dy
v
For s
Problem 2.28
[Difficulty: 4]
Given:
Velocity field
Find:
Plot of streakline for t = 0 to 3 s at point (1,1); compare to streamlines through same point at the instants t = 0, 1
and 2 s
Solution:
Governing equations:
For pathlines
up =
dx
vp =
dt
dy
v
For s
Problem 2.27
Given:
Velocity field
Find:
[Difficulty: 5]
Plot streakline for first second of flow
Solution:
Following the discussion leading up to Eq. 2.10, we first find equations for the pathlines in form
(
x p( t) = x t , x 0 , y 0 , t0
)
and
(
y p( t)
Problem 2.26
[Difficulty: 4]
Given:
Velocity field
Find:
Plot streamlines that are at origin at various times and pathlines that left origin at these times
Solution:
v
For streamlines
u
=
dy
dx
v 0 sin t
=
u0
v 0 sin t
So, separating variables (t=const)
Problem 2.25
[Difficulty: 3]
Given:
Flow field
Find:
Pathline for particle starting at (3,1); Streamlines through same point at t = 1, 2, and 3 s
Solution:
dx
For particle paths
Separating variables and integrating
dy
= u = a x t
dx
x
an
d
= a t dt
dt
or
Problem 2.23
[Difficulty: 3]
Given:
Velocity field
Find:
Plot of pathline of particle for t = 0 to 1.5 s that was at point (1,1) at t = 0; compare to streamlines through same
point at the instants t = 0, 1 and 1.5 s
Solution:
Governing equations:
up =
dx
Problem 2.22
[Difficulty: 3]
Given:
Velocity field
Find:
Plot of pathline of particle for t = 0 to 1.5 s that was at point (1,1) at t = 0; compare to streamlines through same
point at the instants t = 0, 1 and 1.5 s
Solution:
Governing equations:
up =
For
Problem 2.21
[Difficulty: 3]
Given:
Eulerian Velocity field
Find:
Lagrangian position function that was at point (1,1) at t = 0; expression for pathline; plot pathline and compare to
streamlines through same point at the instants t = 0, 1 and 2s
Solution:
Problem 2.20
[Difficulty: 3]
Given:
Velocity field
Find:
Plot of pathline traced out by particle that passes through point (1,1) at t = 0; compare to streamlines through
same point at the instants t = 0, 1 and 2s
Solution:
up =
dx
dt
= B x ( 1 + A t)
A =
Problem 2.19
[Difficulty: 3]
Given:
Velocity field
Find:
Plot of pathline traced out by particle that passes through point (1,1) at t = 0; compare to streamlines through same
point at the instants t = 0, 1 and 2s
Solution:
Governing equations:
up =
For pa
Problem 2.32
Solution
Pathlines:
t
0.00
0.20
0.40
0.60
0.80
1.00
1.20
1.40
1.60
1.80
2.00
2.20
2.40
2.60
2.80
3.00
3.20
3.40
3.60
3.80
4.00
[Difficulty: 3]
The particle starting at t = 3 s follows the particle starting at t = 2 s;
The particle starting at
Problem 2.33
[Difficulty: 3]
Given:
Velocity field
Find:
Equation for streamline through point (1.1); coordinates of particle at t = 5 s and t = 10 s that was at (1,1) at t = 0;
compare pathline, streamline, streakline
Solution:
Governing equations:
v
For
K .
a) Determine cfw_he MmenSToms 06: We ComfaMs Kwand u
r " S '
b) womd JrhTs qular/n be, mm m any 583) (M? Mr
Known 2
v A 9 2
AP=KV%+Ku lwsv
u : Viewsd (FL'3T) _- MLTJL'DT : MUT"
V : vewcnj ( LT")
P ' Dn$7t5 L ML'B)
D '- Dmmcter ( L)
cfw_AnagsTs
Lap 2 R
ME 335 FLUID FLOW
QUIZ I
Name: 8014,11 0N KEY 2. GKAOIN RM- Date: September 8,2016
Time: 1:30-2:00 PM
Closed Book, Closed Notes
Open Equation Sheet
Concept Questions: (10 points)
(i) If atmos n -r1r pressure is reduced, then an open pan of water will bo
ME 335 FLUID FLOW
EXAM I
Name:
Date: 09/29/2016
Time: 1:10-2:00 PM
Closed Book, Closed Notes
Open Equation Sheet
Use additional sheets for your work and attach them to this sheet.
Problem 1: (12 points)
A 500-kg load on the hydraulic lift shown in the fig
ME 335 FLUID FLOW
EXAM I
ISU ID (optional):
Name:
Section A
Date: 09/21/2005
Time: 12:10-1:00 PM
Closed Book, Closed Notes
Open Equation Sheet (Turn in your Equation Sheet with your Exam Solution)
THIS EXAM HAS TWO PROBLEMS ON FOUR PAGES. COMPLETE UNTIL E
Sample Exam numerical solutions:
1) (i) P = 8297 N, (ii) pbottom = 28.64 kPa, (iii) linear variation with change in slope from oil to
water, (iv) Fwater = 23.735 kN
2) (i) V = 20 m/s, (ii) top cable is in tension, T = 2.46 N
Another Sample Exam numerical
ME 335 FLUID FLOW
EXAM I
ISU ID:
Name:
Time: 50
minutes
Closed Book
Open Equation Sheet
Problem 1: (15 points)
A piston having a cross-sectional area of 0.3 square meter and negligible weight is in a
cylinder containing oil (S.G.=0.9) as shown in the figu
Lab 2: Application of
Linear Momentum
Equation
Austin Woods:
ME 335 Sect. 1 Summer 2016
05/26/16
ABSTRACT
With the use of a water jet apparatus and an air jet apparatus shown in Figures 3 and 4, the
experimental and calculated values for the impingement f
Lab 1: Viscosity
Measurement
Austin Woods:
ME 335 Sect. 1 Summer 2016
05/25/16
ABSTRACT
With the use of a Cannon-Fenske viscometer, a Stormer rotating-cylinder viscometer, a
hydrometer, a tachometer, and a stopwatch, the dynamic viscosity of SAE 10W-30 mo
Problem 2.36
[Difficulty: 4]
Given:
Velocity field
Find:
Coordinates of particle at t = 2 s that was at (2,1) at t = 0; coordinates of particle at t = 3 s that was at (2,1) at t = 2 s;
plot pathline and streakline through point (2,1) and compare with stre
Problem 2.35
[Difficulty: 4]
Given:
Velocity field
Find:
Coordinates of particle at t = 2 s that was at (1,2) at t = 0; coordinates of particle at t = 3 s that was at (1,2) at t = 2 s;
plot pathline and streakline through point (1,2) and compare with stre
Mass Flow Rate
Measurement
ME 335
Objectives
Determine
velocity profile of
air in a circular duct using a
Pitot-static tube
Determine
the mass flow rate
based on the velocity profile
2
Background Duct Flow
Measurement
Circular
Duct Flow Measurement
Comm
x - mate-b 3!)
Aug Haida P155129 T/q3126q p53 C 6575/. 7619
)6;
: 31333-9 Pa.
brmmma (16.: 39.7077 @
ome-I'fx) : mums Pa
#- : eniggs .n r.
._ A o.m&as"
(x A. 73: s -. aces-agrm
3m. Ion * pa. E-i-h lath. 1-35. pas;
Fwd; V
L
4 only on. D.PL,9JJ-
FlrvdmI