- #1
member 428835
Homework Statement
I am studying for an upcoming exam and stumbled upon a website with a bunch of practice problems. I would typically state the question but this one is so long and requires a picture so here is the hyperlink to it: http://web.mit.edu/2.25/www/5_10/5_10.html
Homework Equations
Bernoulli, mass/momentum conservation.
The Attempt at a Solution
I'll write out the equations I have (I'm not interested in actually solving them, just want to know I can set it up). Applying conservation of mass yields $$2 \pi r^2 V_1 = \pi R^2 V_2$$. Bernoulli yields $$\frac{P_1}{\rho}+\frac{V_1^2}{2} = \frac{P_2}{\rho}+\frac{V_2^2}{2}$$ Conservation of momentum is $$2 \pi r^2 V_1^2 \hat{r} + \pi R^2 V_2^2 \hat{x} = -2 \pi r^2 P_1\hat{r} - \pi R^2 P_2\hat{x} - F_{wall} \hat{x}$$
where ##F_{wall}## is the force the wall exerts on the control volume. Let me know if I should explain anything I wrote. Thanks so much for looking this over!