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The forum discussion centers on the mathematical transformation of fluid dynamics equations, specifically involving the terms related to velocity and time in the context of dimensional analysis. Users discuss the derivation of a specific equation, highlighting the importance of including the time variable to achieve the correct result. The conversation emphasizes the necessity of understanding LaTeX for proper formula representation and warns against errors in the original question that could hinder reaching the solution.

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thepioneerm
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Please:


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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):

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]

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
 
coomast

thank you very much

but how do you reach this result ??!

please can you explain it to me

even I don't know how to get

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thepioneerm said:
coomast

thank you very much

but how do you reach this result ??!

please can you explain it to me

even I don't know how to get




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:

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^*}

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
 
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
 

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