MODULE 5. DIFFERENTIAL FORMS OF THE EQUATIONS
OF MOTION
Threshold concept
1. The differential conservation of momentum equations are very
powerful, but very complex (9 terms each, lots of partial
derivatives). However, their solution is made considerably

Problem 1: Aquarium waterfall
Water from a waterfall cascades into one side of an aquarium. The
velocity of the waterfall (W) is 10 cm/s and it has a width (B) of 5
cm. If the aquarium depth (H) is 30 cm, what is the maximum
horizontal velocity generated

UNIT OUTLINE (WEEKS 5-13)
MODULE 2. EQUATIONS OF FLUID MOTION INTEGRAL FORM
(Cengel & Cimbala Chapter 5: Conservation of Mass & Energy
Chapter 6: Conservation of Momentum)
LAB 1: CONSERVATION OF ENERGY
MODULE 3. DIMENSIONAL ANALYSIS AND SIMILITUDE
(Chapte

Summary of equations of motion applied to a control volume
The core concepts of this module are summarised in the table below.
Property
conserved
Mass
(scalar)
Statement of conservation
d cv
Qin Qout
dt
Qin Qout
(if CV is filling up or draining)
(if not)

MODULE 4. PIPE FLOW
Threshold concepts
1. Pipe friction causes the flow to lose pressure along the pipe, not
velocity. If the pressures at both ends of the pipe are fixed, the
fluid will flow at whatever speed makes it lose the necessary
amount of pressur

Problem 1: Flow over a flat plate
An incompressible fluid flows over a flat plate, as in the figure
below. The no-slip condition at the plate results in the development
of a region of reduced velocity near the plate. This region of
reduced flow is called

Problem 1: Maximum allowable roughness
The tank-pipe system shown in the figure below is to deliver at
least 11 m3/h of water to the reservoir. What is the maximum
roughness ( allowable for the pipe?
Problem 2: Pumping water uphill
Consider the pumping sy

LECTURE NOTES - VIII
FLUID
MECHANICS
Prof. Dr. Atl BULU
Istanbul Technical University
College of Civil Engineering
Civil Engineering Department
Hydraulics Division
CHAPTER 8
DIMENSIONAL ANALYSIS
8.1 INTRODUCTION
Dimensional analysis is one of the most i

Problem 1: Drag force on a blimp
We wish to know the drag on a blimp which will move in 20C air
( = 1.2 kg/m3, = 1.8 x 10-5 kg/m/s) at 6 m/s.
(a) If a one-thirtieth scale model is tested in water at 20C ( = 998
kg/m3, = 1 x 10-3 kg/m/s), what should the w

MODULE 3. DIMENSIONAL ANALYSIS & SIMILITUDE
Threshold concepts
1. All theoretically-derived equations are dimensionally
consistent.
2. We use this fact to extract dimensionally consistent
relationships from our variables.
3. Dimensional analysis can revea

t‘; M t" '
THE UNIVERSITY OF WESTERN AUSTRALIA
Achieving International Exi‘gt'lmra
SCHOOL OF ENVIRONMENTAL SYSTEMS ENGINEERING
SEMESTER 2. 2008 EXAMINATIONS
ENVE2602
ENVIRONMENTAL FLUID MECHANICS
In conjunction with
CIVL213D
HYDRAULICS I
FAMILY NAME: GIVE

FACULTY OF
(‘1 THE UNIVERSITY OF
1
tr
\
- ‘ . Engineering, Computing
WESTERN AerALM and Mathematics
SCHOOL OF CIVIL AND RESOURCE ENGINEERING
SEMESTER 2 EXAMINATIONS 2007
CIVL 213D HYDRAULICS I
This Paper contains: 6 pages (including title page)
Time allo

Transition to turbulence
AIMS
This experiment aims to investigate the transition from laminar flow to fully turbulent flow in a tube.
You will use dye to qualitatively describe the transition point and also quantitatively determine the
friction factor as

The Swan River Model
AIMS
To use a small-scale laboratory model to replicate the flow in a large estuary.
BACKGROUND
1. Modelling
Models are widely used in fluid mechanics. Major engineering projects involving offshore structures,
aircraft, ships, rivers,

Summary of equations of motion applied to a control volume
The core concepts of this module are summarised in the table below.
Property
conserved
Statement of conservation
d
cv
Qin Qout
dt
Mass
(scalar)
Qin
Qout
(if CV is filling up or draining)
(if not)