Im currently taking a course in Introductory Fluid Mechanics, and as part of this course I have to do a research project. Problem is, I have no idea what topic to research.

The instructor said we can do original work, or, we can find a paper that we think is interesting, read and understand that paper fully, and do a presentation about it. I'm leaning more towards original work (seems more beneficial to me), but like I said, I don't know what to look for.

If you could give me some interesting topics/problems that are accessible to a FOURTH YEAR UNDERGRADUATE student in Mathematics, I would greatly appreciate it. My programming knowledge is limited but I do know a bit of stuff, so CFD is not completely ruled out as long as the computing work is not too advanced.

This project is worth 10% of my final grade, so it does not need to be something that is a massive undertaking. I have to give a 15 minute presentation on it, to give you some guidelines of what is expected by the instructor as far as the depth of the project goes.

Thanks in advance.


closed as off-topic by quid, Morgan Rodgers, Namaste, Will Jagy, Matthew Conroy Jan 15 '17 at 22:42

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I would suggest this rather exotic topic for you-Supercavitation
(It also sounds a bit cool doesn't it?)

It describes the phenomenon by which an object moving inside a liquid (most applications involve water) makes use of cavitation effects-essentially the formation of progressively more void pockets (bubbles) around it-to create a large bubble encompassing the entirety of the object, thus reducing drag and allowing it to move to much greater speeds.

I believe that an internet research on the topic will provide you with enough material for your task though I doubt that any original research is advisable, but you can consult your tutor on it. There is also a nice collection of articles-quite advanced but perhaps they can give you more ideas-in the book "Supercavitation" by Springer.

As a working example of the Supercavitation principle, and a rather unique one, you can cite the Russian (Soviet) Skhval torpedo .

A note of caution. The mathematics & mechanics involved are not of the "introductory" kind, but I am fairly certain that a 15min presentation and a nice paper of appropriate length that describes the basics of the subject are certainly within a 4th year undergrads skillset. But again-consult your tutor if you like the subject (any subject you chose) but have doubts on what/how to approach it.

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