Fundamentals of Fluid Mechanics Questions and Answers  
Question by AME536A Student
We are having trouble on Homework #10, Question #2 part B. We originally found the max velocity to be at the top of the bump with $r = 2R$ and $\theta = \frac{\pi}{2}$. We are stuck on how to find the max velocity, if it's not at this point. We are trying to use the streamline function to find velocity components, but can't find them because we don't know the radius on the bump at any point other than the top. We can't assume that the bump is a cylinder and so there isn't any information on how to find the radius at at given theta on the bump. What is the best way to look at this problem?
You can find $q$ as a function of $\theta$ on the bump by setting $\psi$ to a constant which is determined from $r=\infty,y=h$.
Question by AME536A Student
Hi Professor, would it be possible to get an extension on homework 10?
Hm, OK. It will be due Tuesday after the Thanksgiving. Note that you will have two homeworks due on that week.
Question by AME536A Student
In Assignment #10, problem #3, part (b): I am struggling to prove that $\int_S \rho \vec{v} (\vec{v}\cdot\vec{n}) dS = \frac{3}{2}\rho Q U \vec{i}$. I tried to find the integral and use the Momentum equation without any result. Is there any hint to proceed in this problem ?
But, can you prove that the force has no component in $\vec{j}$? This is easier to do and will guide you towards the right solution to find the component along $\vec{i}$.
Question by AME536A Student
On assignment #12 on question #1, I think there is a mistake on the equation for the supersonic potential flow.
That's right. It has been corrected.
Question by AME536A Student
For homework #12 question #2, are we able to solve for lift and drag on the different sections of the air foil and sum them together? In addition, should the question include the value for L?
Question #2 is clear, just answer the question.
Question by AME536A Student
On assignment #12 on question #4, the answer given is for the drag coefficient right? If that's the case, I think that there is a mistake there and it should be $C_d=\frac{4m^2}{(2m-1)\sqrt{M_\infty^2-1}} \left( \frac{h}{t}\right)^2\frac{1}{\sqrt{\left( \frac{h}{t}\right)^2+1}}$.
Yes, the answer is for the drag coefficient. And yes, your answer is correct.
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