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Moderated October 2016
University of Sunderland
Faculty of Applied Sciences
Department of Computing, Engineering and Technology
Assignment 3 of 3, 2016 – 2017
The following learning outcomes will be assessed:
An understanding of the use of commercial mathematical software packages to assist in solving engineering problems.
the ability to develop and analyse mathematical models of the behaviour
of a component or system due to external influences and so predict the performance of that component or system.
Important Information
You are required to submit your work within the bounds of the University Infringement of Assessment Regulations (see your Programme Guide). Plagiarism, paraphrasing and downloading large amounts of information from external sources, will not be tolerated and will be dealt with severely. Although you should make full use of any source material, which would normally be an occasional sentence and/or paragraph (referenced) followed by your own critical analysis/evaluation. You will receive no marks for work that is not your own. Your work may be subject to checks for originality which can include use of an electronic plagiarism detection service.
Where you are asked to submit an individual piece of work, the work must be entirely your own. The safety of your assessments is your responsibility. You must not permit another student access to your work.
Where referencing is required, unless otherwise stated, the Harvard referencing system must be used (see your Programme Guide).
Please ensure that you retain a duplicate of your assignment. We are required to send samples of student work to the external examiners for moderation purposes. It will also safeguard in the unlikely event of your work going astray.
Submission Date and Time
Before 4pm, Wednesday 15th March 2017
Submission Location
SunSpace Dropbox
Page 2 of 4
Moderated October 2016
Part 1: Drag coefficient for flow around a sphere
Using the tutorial provided concerning air flow around a sphere as a basis, you are required to
validate the SolidWorks flow simulation software. To do this, derive the drag coefficient CD at the
following Reynolds numbers: 1 10, 100, 10,000, and 100,000.
You will be required to compare your values with those shown in Fig. 1 (final page). To do this you
may use Fig. 1 and superimpose your values, plotted by hand. You should submit this as part of
your report.
Part 2: Flow over a cone
Develop a flow simulation for a three dimensional cone pointed into the airflow, as represented by
Fig. 2. You should create a three dimensional cone with the value of the half-vertex angle (ε)
assigned to you. This is the angle measured from the centreline of the cone to one of its walls, also
shown in Fig. 2. You should also derive the value of the drag coefficient CD, for a Reynolds number
anywhere in the range 105 and 106.
Fig. 2: Cone
Note that for both the sphere and the cone, Reynolds number is given by the following equation,
where D is the diameter of the sphere, or the base of the cone as shown in Fig. 2:

Re 
You can assume the density and dynamic viscosity of air when using this equation are 1.177 kg/m3
and 1.84610-5 Pa s, respectively.
ε D
Page 3 of 4
Moderated October 2016
Your report should include the following information:
Part 1
Demonstration of working simulation of flow over a sphere (in class).
Derivation of drag coefficient CD at the required values of the Reynolds number (report).
Plot of CD versus Re (report).
Part 2
Demonstration of working simulation of flow over a cone (in class).
A description of how the problem was tackled in SolidWorks. This should include any assumptions made and a tabulated summary of the boundary conditions used. It should also include screenshots of the model and mesh, and vector and contour plots of the resulting flow (report).
Derivation of drag coefficient CD, for a Reynolds number between 105 and 106 (the value you have used must be stated).
Marks will be deducted for untidy or illegible work.
Hoerner, S. F., 1965. Fluid-Dynamic Drag. 1st ed. Bricktown New Jersey: Hoerner Fluid Dynamics
K. Burn
October 2016
Page 4 of 4
Moderated October 2016
Fig. 1: CD versus Reynolds number for flow across a sphere (, 2012)

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