Fluid Mechanics II
Tutorial week 2
11-13 March 2014
Exercise 1
The picture above shows the ows past a circular cylinder. What is highlighted by means of dye visualization ? (multiple
answers possible)
- Streamlines
- Streaklines
- Pathlines
Briey justify
Tutorial 7
Fluid Dynamics
1. Oil with sp gr 0.75 is flowing through a 15cm diameter pipe under a pressure of 105KN/m 2. If the total
energy relative to a datum plane 2.5m below the center of the pipe is 18m, determine the flow rate of
oil.
Solution:
Press
Tutorial 10
Boundary layer theory
1. If the velocity distribution law in a laminar boundary layer over a flat plate is assumes to be of the
u=ay+ b y
form
3
, determine the velocity distribution law.
Solution:
At y = 0, u= 0
At
y= , u = U
U=a +b 3
At
y= ,
Tutorial 2
Fluid pressure
1. A cylinder contains a fluid at a gauge pressure of 360 KN/m 2. Express this pressure in terms of a head
of (a) water, and (b) mercury of sp gr = 13.6
What would be the absolute pressure in the cylinder if atmospheric pressure
Tutorial 9
Application of Momentum Principle
1. A 60cm pipe is connected to a 30cm pipe by a standard reducer fitting. For the same flow of 0.9 m 3/s
of water and a pressure of 200Kpa, what force is exerted by the water on the reducer, neglecting any lost
CIVL 3612/9612 - Fluid Mechanics, Semester 1 2015
Tutorial 3
1
It is known that the velocity distribution for two-dimensional flow of a viscous incompressible
fluid between parallel plates (see figure) is parabolic, that is
y 2
u = Uc 1
h
with v = 0. D
Fluid Mechanics II
Mid-term
Tuesday 15 April 2014
First Name
Last Name
Student number
Examiners use only
1)
2)
3)
Mark :
4)
5)
Instructions
The mid-term will last 1 hour and 50 minutes.
This test is not mandatory. The marks of this test will count for 1
Fluid Mechanics II
Mid-term
Thursday 22 May 2014
First Name
Last Name
Student number
Examiners use only
1)
2)
3)
Mark :
4)
5)
Instructions
The mid-term will last 1 hour and 45 minutes.
This test is not mandatory. The marks of this test will count for 15
Tutorial 6
Fluid Kinematics
1. Water is flowing through a pipe of 2.5cm diameter with a velocity of 0.5m/s. Compute the discharge in
m3/s and litres/s.
Solution:
Diameter of pipe (d) = 2.5cm = 0.025m
C/S Area of pipe (A) =
x 0.0252 = 0.000491 m2
4
Velocit
Tutorial 8
Flow measurement
1. A jet of water issuing from 5mm diameter orifice working under a head of 2.0m, was found to travel
horizontal and vertical distances of 2.772m and 1m respectively. If C C = 0.61, determine discharge.
Solution:
Diameter of je
School of Civil Engineering
CIVL3612/9612 - Fluid Mechanics: Semester 1 2015
Unit of Study Information Sheet
General Information
Coordinator:
Lecturer:
Tutors:
Demonstrators:
Lectures:
Tutorial:
Laboratory Sessions:
Web site:
Prof John Patterson (Room 316
8.73
8.73
PROBLEM 8.74
8.1
Re
PROBLEM 8.74
PROBLEM 8.75
KL
KL
KL
KL
8.22
KL
interpolating Table B.2 gives
Re
8.4.2
KL
PROBLEM 8.75
PROBLEM 8.76
threaded
KLgate
KL
KL
KL
KL
threaded
8.22
KL
0.15
KL
1.5
KL
Table 8.1 and B.1 for
Re
1.21
5.35
KL
PROBLEM 8.76
0.018
0.018
15
100,900
105,515
-133,360
0.15
PROBLEM 8.77
Re
351 Q
1.21
PROBLEM 8.77
Re
55
8
51
65
7.02
7
7
7
8.78
8.78
PROBLEM 8.79
KL
KL
KL
For soldered (similar to threaded) pipe, Table 8.2 gives KLtee
Re
12
1
Re
40
1
Re
32
1
Table 8.1 giv
Tutorial 4
Buoyancy and floatation
1. A rectangular pontoon has a width of 6m, length of 10m and a draught of 2m in fresh water. Calculate
(a) weight of pontoon, (b) its draught in seawater of density 1025 kg/m 3 and (c) the load that can be
supported by
Tutorial 5
Relative equilibrium
1. An open rectangular tank 3m long and 2m wide is filled with water to a depth of 1.5m. Find the slope
of the water surface when the tank moves with an acceleration of 5m/s 2 up a 300 inclined plane. Also
calculate the pre
Tutorial 1
Fluid properties
1. A reservoir of glycerin has a mass of 1100kg and a volume of 0.9 m 3. Calculate its weight, mass density,
specific weight and specific gravity.
Solution:
Mass of glycerin (m) = 1100kg
Volume (V) = 0.9 m3
Weight (W) = ?
Mass
Tutorial 3
Hydrostatic force on submerged bodies
1. A vertical rectangular gate, 1.4m high and 2 m wide, contains water on one side. Determine the total
resultant force acting on the gate and the location of c.p.
3m
Water
Gate
Solution:
Area (A) = 2x1.4 =
Fluid Mechanics II
Mid-term
Thursday 17 April 2014
First Name
Last Name
Student number
Examiners use only
1)
2)
3)
Mark :
4)
5)
Instructions
The mid-term will last 1 hour and 50 minutes.
This test is not mandatory. The marks of this test will count for
Fluid Mechanics II
Mid-term
Tuesday 20 May 2014
First Name
Last Name
Student number
Examiners use only
1)
2)
3)
Mark :
4)
5)
Instructions
The mid-term will last 1 hour and 45 minutes.
This test is not mandatory. The marks of this test will count for 15%
(25.5 6 A certain ow eld is descried by the sfream furio
tion
=A9+Brsina
when A and B are positive constants. Determine the arm
spending valocity potential and locate any stagnaiicn points in
this ow eld.
:
'- zit-82.51? 29 : (3)
~ ?er 5/9
CIVL 3612/9612 - Fluid Mechanics, Semester 1 2015
Tutorial 2
1
An incompressible steady-ow pattern is given by u = x3 + 2z 2 and w = y 3 2yz. What is the
most general form of the third component v(x, y, z), which satises continuity?
Soln.
Substituting int
CIVL 3612/9612 - Fluid Mechanics, Semester 1 2015
Tutorial 04
1
Stream function - Velocity potential in polar coordinates
Prove that the streamlines (r, ) in polar coordinates are orthogonal to the potential lines
(r, ). Soln. Recall that for lines to be
CIVL 3612/9612 - Fluid Mechanics, Semester 1 2015
Tutorial 1
1
Equation for streamline
(a) Show that the streamlines for a ow whose velocity components are u = c(x2 y 2 ) and
v = 2cxy, where c is a constant, are given by the equation x2 y y 3 /3 =constant