University of Wollongong
Faculty of Engineering and Information Sciences
Assignment 2
Rules:
1. The assignment may be completed individually or by a group of up to 3 students. The
group formation is your own responsibility. Members may be from the same or
different tutorial groups.
2. No collaboration between groups is permitted. Any case of plagiarism will be penalized
and students should make themselves aware of the university policies regarding
plagiarism (see Subject Outline under University and Faculty Policies).
3. The assignment is due Monday 22th October by 4pm and to be submitted to EIS Central
Bldg. 4 as a report. Use the barcoded page as the cover sheet for your report (see
Subject Outline under Submission and Return of Assessments). Late submission will
incur penalties as described in the Subject Outline.
4. If the assignment is completed by a group, a statement indicating the effort or
contribution to the assignment by each member and signed by all members must be
included in the beginning of the report. Alternatively, all group members agree that they
have contributed equally to the report and a statement to this effect is added to the front
of the report and signed by all members.
5. All script files and function files must be included in the hard copy of your report. If
equired, staff will ask for the files to be provided electronically and these must be
made available promptly.
6. Please make sure you MATLAB code is well commented and that your variable and
function names are understandable. Use the lecture and tutorial examples for
guidance. Scripts without comments and badly named variables will be graded poorly.
ENGG952 Engineering Computing
Spring Session 2018
ENGG 952 ASSIGNMENT 2
QUESTION 1 (50%)
You are asked to evaluate the relationship between the academic ranking and the number of
published papers within the Faculty of Engineering and Information Sciences (EIS) of
University of Wollongong.
You will need to conduct the following:
(a) Use the websites of UoW Scholar to identify at least 20 EIS academic staff who are at
5 different rankings (1-5) as listed below. Identify the academic ranking and number of
papers published in the past 10 years of these academic staff, and show your raw data.
(b) Plot the data points on a graph. You can remove some outliers (points not following the
trend). Report reasons for any removal of each data point. Make sure you get at least
20 data points at the end.
(c) Identify an (linear or non-linear) equation that fits the data points well. Use least-square
egression methods to determine the values of each parameter of that equation. Show
all your calculation steps (software like Matlab and Excel is NOT required). Plot the
equation on the graph containing the data points.
(d) Based on your calculations, describe the relationship between the academic ranking and
the number of published journal papers.
Please use the following numbers (1-5) to designate the 5 different academic rankings:
1- Associate Lecturer;
2- Lecturer;
3- Senior Lecturer;
4- Associate Professor;
5- Professor (including Senio
Distinguished Professor)
Please do not disclose the names of the academic staff in your report.
Plagarism can result in mark penalty or zero marks.
QUESTION 2 (50 %)
The non-dimensional form of the transient heat conduction equation in an insulated rod is
t
u
x
u
∂
∂
=
∂
∂
2
2
where x is the nondimensional length, t is the nondimensional time, u is the nondimensional
temperature. This makes for the following boundary and initial conditions:
Boundary conditions u(0, ) = 0.5 u(1, ) = -0.75
Initial conditions u( , 0) = -0.9 0 <1
Figure 2. Heat conduction problem in an insulated rod.
Note:
L
xx= ,
)/( 2 kLC
tt
ρ
= ,
oL
o
TT
TT
u
−
−
= , in which L = the rod length, k = thermal conductivity
of the rod material, = density, C = specific heat, To = temperature at x = 0, and TL =
temperature at x = L.
Solve this nondimensional equation for the temperature distribution using the implicit Crank-
Nicholson method:
a) Write a MATLAB program to obtain the solution for time duration 10 ≤≤ t .
Please demonstrate that appropriate x∆ and t∆ are needed to solve u until steady-state
solution is reached.
) Plot the nondimensional temperature versus nondimensional length for a few typical
values of nondimensional times, which can demonstrate the evolution of the
temperature at different time.
Plagarism can result in mark penalty or zero marks.
t t
x ≤ x
ρ