Fundamentals of Fluid Mechanics Questions and Answers  




Streamline is the line that is composed of the velocity vectors linked to one another. Particle path is the path of a fluid element in space and time. Note that at steadystate, the streamline and the particle path coincide. But when the flow is unsteady, they differ.




Start from the total energy transport equation. Find the answer without assuming an isentropic path. If you solve the problem assuming an isentropic path, would you get the same answer? Why or why not?




Yes you are missing a term! Don't make an assumption and remove terms unless you have no other option. Keep your expression as complete as possible.




I'll give you an extension until Tuesday 11:00. The quiz will take place on Tuesday, not tomorrow.




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.




The work due to pressure in the ground frame scales with the product between pressure and velocity of surface where pressure is applied (i.e. velocity of the surface with respect to the ground). If you expand $H$ in terms of $P$ in your equation and rewrite, you'll find that this is exactly the case. I see nothing wrong with the equation you posted.




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.



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