Fundamentals of Fluid Mechanics Questions and Answers  


You have the right answer: there was a typo and it is now fixed.




I am not sure why you think the pressure term should vanish. You should explain your reasoning.






You can't apply the chain rule here. You can only apply the chain rule when converting a total derivative, not a partial derivative.




I guess that “blunt edge” here means the right side of the half cylinder. No, the top and the bottom of the half cylinder are not stagnation points. Hint: for the air to flow horizontally at the top and bottom edges, and to continue in that direction, the net force along $y$ on the flow at those locations must be zero. Think about what this means with respect to the pressure on the right side of the object.




You can find $q$ as a function of $\theta$ on the bump by setting $\psi$ to a constant which is determined from $r=\infty,y=h$.




Hm, OK. It will be due Tuesday after the Thanksgiving. Note that you will have two homeworks due on that week.




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 $\vec{i}$.




That's right. It has been corrected.




Question #2 is clear, just answer the question.



$\pi$ 