A piezometer tube is tapped into a horizontal pipe of inner diameter D through w

Question

A piezometer tube is tapped into a horizontal pipe of inner diameter D through which water is flowing from left to light. A Pitot probe is also inserted into the center of the mbe. facing upstream as sketched. The water rises in the piezometer mbe to height HGL from the reference datum plane, which we take as the centerline of the pipe. The water rises in the Pitot mbe to height EGL from the datum plane, where the HGL and EGL denote hydraulic grade line and energy grade line, respectively. Generate an expression for the centerline velocity in the pipe in terms of the given variables, as needed. Repeat if the liquid were oil with a density of p= 854 kg/rn3, and all other dimensions and heights remain the same. As sketched, the velocity profile in the pipe is not uniform, but has the profile shown. The flow is fully developed, and the average velocity at any cross section is 72. 5% of the velocity at the centerline. For the water case (Part b). estimate the mass flow rate of water through this pipe in units of kg/s.

Explanation / Answer

P1/(rho*g) + V1^2/(2*g) + z1 = P2/(rho*g) + V2^2/(2*g) + z2 where point 1 is at the 6" diameter pipe section, and point2 is at the entrance of the Pitot tube in addition, z1=z2 since they are at the same elevation v2= 0 due to stagnation point thus, P1/(rho*g) + V1^2/(2*g) = P2/(rho*g) But, P1/(g*rho) = x & P2/(rho*g) = x + 2" therefore, x + V1^2/(2*g) = x + 2" -> V1^2/(2*g) = 2" convert to ft though In the end, solve for V1... V1=3.276 ft/s Q=3.276ft/s*((0.25ft)^2)*pi) = 0.64327 ft^3/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.