Fundamentals of Fluid Mechanics B Questions and Answers
No, there are no other assumptions. These strain rates can be used for any fluid. Also, the same applies with the strain rates in cylindrical and spherical coordinates in the tables. The strain rates can be used in the general case.
 03.24.20
 Question by AME536A Student Could you also give us the final answers for Assignment 5 Question 3 (d) and (e)?
Let me see if I can find them.. If I do, I'll post them soon.
 Question by AME536A Student I'm still having problems to solve Assignment#1 Question#2(b), the prove of Crocco's theorem. In class you gave us this hint: say $a=b-c$ $$da = d(b-c)$$ If $da=0$ and if s-s and uniform properties at some point upstream: $$\nabla a = 0$$ Then $$db-dc =0$$ and $$\nabla (b-c)=0$$ $$\nabla b = \nabla c$$ I don't understand how we can use this without ending up with a temperature gradient term in the equation.
 03.25.20
Another hint. For two streamlines near each other and at a certain location, one has a temperature $T$, and the other the temperature $T+dT$. Expand terms and get rid of the terms that are necessarily much smaller than the others.
 Question by Student AME536B Do we need to memorize proofs for this midterm?
The midterm is open book so you can consult your assignments, class notes, books if you want. However, if I were you, I would stick to consulting the tables: you won't waste time and score higher this way.
 Question by Student AME536B I was attempting to figure out the mean free path derivation question you gave us previously on how to get the $\sqrt2$ term. What I came up with using your tip of \begin{equation} q_{rms}=c*q_{avg} \end{equation} is, \begin{equation}\overline{V_{rel}^{2}}=\overline{V_1^{2}}+\overline{V_2^{2}}\end{equation} Is this process correct?
I don't understand where your equation (2) is coming from. You need to clarify this.
 Question by Student AME536B On the tables, the equation given for the strain rate $S_{\theta r}$ in spherical coordinates has a term of $\frac{v_{\theta}}{r}$; is that a typo? Shouldn't the shear strain equation for spherical coordinates be given by: $$S_{r\theta} = \frac{1}{2} \left( \frac{1}{r}\frac{\partial v_r}{\partial \theta} + \frac{\partial v_{\theta}}{\partial r} \right)$$
 04.06.20
The equation in the tables is correct: there is no typo.
 Question by AME536A Student For question 1. b. on Assignment 6, do you want us to derive the expression you gave for the streamfunction? Or just start from the given equation?
If it's given in the question don't derive it.
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