The University of Sydney
Faculty of Engineering and IT
AMME 2000 Engineering Analysis
This examination paper contains 4 questions
Each question is on a separate page.
All questions carry equal marks.
Candidates should answer any 3 out of 4 questions
There

Section 2
Introduction to PDEs and the Heat Equation
2
56
2.1 Outline
What is a PDE?
Why do we use PDEs?
How do we classify them?
Complementary reading: Kreyszig p582 onwards.
57
2.2 What is a PDE?
You are familiar with ODEs e.g.
=
2
=-g
2
This e

Section 7
Fourier Integrals and Laplace Transforms
7
14
7.1 Outline
Many analytical problems can be solved more easily using Fourier or
Laplace Transforms
Very useful for problems on infinite or semi-infinite domains, e.g.:
We will cover
- Fourier Inte

Section 8
The Finite Element Method
8
19
8.1 Examples: Saab Crash
8.1 Examples: F16 Standard Dynamic Model
8.1 Examples: Hypersonic A2
8.1 Examples: NASA Research Aircraft
8.1 Examples: Generic Large Aircraft
8.1 Examples: Sensorcraft Structure
8.1 Exampl

Section 12
12
Summary
288
12.1 What have we learnt?
Methods of analysing engineering systems:
- Qualitative classification (diffusive, wave like, steady diffusion)
- Diffusion of heat in 1D (unsteady) and 2D (steady)
- Diffusion of species in 1D (unstead

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 11
A top secret engineering mission to the bottom of the ocean will use a magneto-hydrorotator to detect previously unknown bacteria. This device is a rotating cylinder whic

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 3
The hydraulic jack shown below consists of a master cylinder with a diameter of 60mm and a
lifting (or slave) cylinder with a diameter of 150mm. The two cylinders are conn

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 10
Air flow over a cylinder of radius R = 150mm is modelled as a steady, frictionless and
incompressible flow. The vector form of the velocity field is
R 2
R 2
V V 1 cos

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 6
The nozzle on a large fire hose is connected to the hose by a flange fitting. The geometry is
indicated in the figure below. The gauge pressure and velocity in the hose at

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 8
More on boundary layers and learning to simplify the Navier Stokes equations
Last week the tutorial assignment looked at a crude linear approximation to the velocity
prof

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 5
A floating pontoon in the harbour is constructed as a simple equilateral triangular prism as
shown in the figure below.
L
a
a
If a = 3 m, L = 10 m and the pontoon mass is

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 9
An engineer is designing a hydrofoil for a prototype high performance racing yacht similar to
those used in the Americas cup in 2013. The lift generated by the hydrofoil i

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 2
What are the primary dimensions (mass (M), length (L), time (t), temperature (T) of the
following physical quantities? The first one is already done for you.
i)
ii)
iii)
i

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 7
A crude approximation for the x-component of velocity in a two-dimensional, incompressible
boundary layer is a linear variation from u = 0 at the surface (where y = 0) to

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 12
The centrifugal pump shown below (r1 = 100m, r2 = 150mm, = 170 2 = 300, b = 75mm)
produces a flow rate of 15.9m3/min of petrol at 200C. The inflow has no swirl and can be

AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 13
An animal drinking water supply on a farm consists of a long, straight, small diameter pipe
(length L = 1000 m, diameter D = 1 cm) connected to the base of a tank that is

Engineering Analysis
Numerical, Analytical and Approximate Approaches
Dr Ben Thornber (Room N312, [email protected]
AMME2000
FACULTY OF
ENGINEERING &
INFORMATION
TECHNOLOGIES
Course Outline
This course aims to give you:
- Knowledge of the mathem