p0650

# p0650 - 6.50 CHAPTER 6 PROBLEM 50 599 6.50 Chapter 6...

This preview shows pages 1–2. Sign up to view the full content.

6.50. CHAPTER 6, PROBLEM 50 599 6.50 Chapter 6, Problem 50 We select a control volume translating to the right with velocity u cv = U i , using the boundaries indicated in Figure 6.50. Figure 6.50: Cart propelled by a water jet—control volume moving. Mass conservation: In general, the mass-conservation principle tells us that d dt 888 V ρ dV + 8 s 8 S ρ u rel · n dS = 0 The flow is incompressible and the control volume’s size is constant. Thus, the instanta- neous rate of change of the mass in the control volume vanishes. Then, since u rel = u U i , we have 8 s 8 S ρ ( u U i ) · n dS = 0 The incident jet velocity is u = U j i . Let v and A denote the magnitude of the outflow velocity relative to the cart and area in each jet at the sides of the cart. Then, ρ ( U j i U i ) · ( i ) π 4 d 2 ± 1 Incident jet + ρ ( v j ) · j A ± 1 Top jet + ρ ( v j ) · ( j ) A ± 1 Bottom jet = 0 Simplifying, we can solve for vA to discover that vA = π 8 ( U j U ) d 2 x -Momentum Conservation:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern