- #1
Are PEDs Impacting Amateur Sports Integrity?
- Thread starter thepioneerm
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Homework Help Overview
The discussion revolves around a mathematical problem involving transformations and partial derivatives, likely within the context of fluid dynamics or a related field. Participants are attempting to reconcile their results with a given formula, noting discrepancies and missing terms.
Discussion Character
- Exploratory, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants are discussing the transformation of variables and the implications of missing terms in their equations. Questions are raised about how to derive certain results and the validity of the provided formulas.
Discussion Status
Some participants express gratitude for the insights shared, while others seek clarification on the derivation of results. There is an acknowledgment of potential errors in the original question, and the discussion is ongoing with no clear consensus yet.
Contextual Notes
There are mentions of formatting issues with LaTeX, which may affect the clarity of the mathematical expressions being discussed. Participants are also encouraged to learn LaTeX for better communication of their ideas.
- #2
coomast
- 279
- 1
I had a look at it and after a few minutes I got a transformed result, but indeed it is not the one given. However there seems to be a term missing in the left hand side containing the time t. After using the transformation I got (without the term with the time):
[tex]u^*\frac{\partial u^*}{\partial x^*}+ v^*\frac{\partial u^*}{\partial y^*}= m\cdot \frac{U^{n-1}}{L^n}\cdot \left[M\cdot \theta + \frac{\partial}{\partial y^*} \left[\left|\frac{\partial u^*}{\partial y^*}\right| ^{n-1} \right]\cdot \frac{\partial u^*}{\partial y^*}\right][/tex]
Maybe the term with t can shed some light on the necessary next step, otherwise I do not see how to reach the end result.
coomast
[tex]u^*\frac{\partial u^*}{\partial x^*}+ v^*\frac{\partial u^*}{\partial y^*}= m\cdot \frac{U^{n-1}}{L^n}\cdot \left[M\cdot \theta + \frac{\partial}{\partial y^*} \left[\left|\frac{\partial u^*}{\partial y^*}\right| ^{n-1} \right]\cdot \frac{\partial u^*}{\partial y^*}\right][/tex]
Maybe the term with t can shed some light on the necessary next step, otherwise I do not see how to reach the end result.
coomast
- #3
- #4
coomast
- 279
- 1
thepioneerm said:
pfff...the preview gives a different formula then the one I'm typing, I assume the latex is still broken
This is done in the same way as before, you have:
[tex]v\frac{\partial u}{\partial y}=v^*U\frac{\partial u^*U}{\partial y^*L} = \frac{U^2}{L} v^*\frac{\partial u^*}{\partial y^*}[/tex]
After doing this to the other terms as well, you end up with the result I gave earlier. Beware of the error in the question, you will not be able to reach the solution given.
remark 1: sorry for the late reply, I had a busy week
remark 2: don't use a font this big, it looks as if you are shouting which is not the intention I suppose, instead look at learning the basics of latex, it will be helpfull in producing the nice formula's out here :-) [if the bloody thing works, lol]
seems the latex is OK after all... this does not follow a mathematical rule, perhaps something chaotic...could be me as well...
best regards,
coomast
- #5
thepioneerm
- 33
- 0
coomast
thank thank thank you very very very much
and I will not use a font this big ^-^
and I will try to learn the basics of latex
thank you
thank thank thank you very very very much
and I will not use a font this big ^-^
and I will try to learn the basics of latex
thank you
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