Fundamentals of Fluid Mechanics Questions and Answers  
Question by AME536A Student
Given that homework set #11 is due on the 7th, how will the feedback turn around look for the assignment?
12.02.21
If more than 80% of you file 536A reports, I'll explain how to solve the A11Q1 problem in class on Tuesday. So far, the response rate is 35%.
Question by AME536A Student
Would it be reasonable to have Bernoulli's Equation for potential flow added to the tables?

$\frac{\partial \phi}{\partial t} + \frac{1}{2}\vec{v}\cdot\vec{v} + \frac{P}{\rho} + F_{B} = g(t)$
12.05.21
Yes it's a good addition. I'll add it.
Question by AME536A Student
Hi Dr. Parent, In one of the previous responses, you mentioned that in past semesters some derivations were excluded from the final. I'm just curious what the criteria was for a derivation to be excluded and if that criterion applies to any of the questions we have this semester? Thanks!
12.06.21
If it's a derivation done in class and that is lengthy and hard to remember then I can exclude it from the final.
Question by AME536A Student
Dr. Parent, would it be possible to exclude or shorten Q3 from HW 6? Upon reworking this problem, I've found that finding the air temperature when the pressure reaches 5 bar as well as when the liquid has been drained completely - along with the side task of proving that enthalpy is conserved along a streamline - takes quite a bit of time. If it is not possible to exclude this question entirely, would it be possible to shorten it such that we would only need to find the air temperature at one of the provided conditions? Thank you for your consideration.
12.09.21
Yes this entire questions is lengthy. However, each part can be done within 30 minutes. So if I do ask you this question, I'll ask either part (a) or part (b) but not both. Proving that enthalpy is conserved on a streamline can be done shortly within 3-5 lines.
Question by AME536A Student
For A3Q3, I use my first control volume around tank 2 and obtain the following equation by applying mass conservation: \begin{equation} \dot{m}_{\rm air,2}-\dot{m}_{\rm w,out}+\dot{m}_{\rm 12}=2.995\ {\rm kg/s} \end{equation} I use a second control volume enclosing the pipes between tank 1 and tank 2 where the air is flowing and obtain the following using mass conservation: \begin{equation} \dot{m}_{\rm air,1}+\dot{m}_{\rm air,2}=0.02\ {\rm kg/s} \end{equation} and the third control volume enclosing tank 1 yields, using mass conservation and considering that the rate at which the volume of air in the tank increases is equal to the rate at which the volume of water in the tank decreases: \begin{equation} (\rho_w -\rho_{\rm air})\frac{dV_{\rm 1,water}}{dt}-\dot{m}_{\rm air,1}+\dot{m}_{\rm 12}=0 \end{equation} Thus, I end up with 5 unknowns ($\dot{m}_{\rm air,1}$, $\dot{m}_{\rm air,2}$, $\dot{m}_{\rm w,out}$, $\dot{m}_{\rm 12}$ and $\frac{dV_{\rm 1,water}}{dt}$) but only 3 equations. Can you give a hint on how I could proceed to tackle this problem?
Answered in the office hours.
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