p0616

# p0616 - ρ w − U π 4 d 2 W ±,² 1 Inlet ρ w β U π 4...

This preview shows page 1. Sign up to view the full content.

6.16. CHAPTER 6, PROBLEM 16 547 6.16 Chapter 6, Problem 16 Use a stationary control volume surrounding the main tank as shown in Figure 6.16. Figure 6.16: Cylindrical tank. Because the control volume is stationary, u rel = u , and we can write the mass-conservation principle as d dt 888 V ρ dV ± 1 =0 + 8 s 8 S ρ u · n dS = 0 where we observe that the amount of water in the tank is constant so that the rate of change of mass in the control volume is zero. Now, because n is the outer unit normal, we know that u · n is positive at outlets A and B, but negative at the inlet. Thus, we have
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ρ w − U π 4 d 2 W ± ,² 1 Inlet + ρ w β U π 4 9 4 d 2 W ± ,² 1 Outlet A + ρ w α U π 4 16 25 d 2 W ± ,² 1 Outlet B = 0 Simplifying and dividing through by πρ Ud 2 / 4 , − 1 + 9 4 β + 16 25 α = 0 which tells us that α = 100 − 225 β 64 Finally, if β = 3 / 5 , then α = 100 − 135 64 = − 35 64 This means the “outlet” velocity is less than zero. Hence, fluid enters at “Outlet” B with a speed of 35 64 U ....
View Full 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