Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of A, and the flowrate is Qo. The exits have flow rates of Q₁ and Q2, and cross- sectional areas of A₁ and A₂, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 0₁ and 0₂ with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. a) Find an expression for Q2 b) If the horizontal force on the vane is zero, find an expression for Q₂ in terms of the other flow rates, areas and angles c) Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles

Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of A, and the flowrate is Qo. The exits have flow rates of Q₁ and Q2, and cross- sectional areas of A₁ and A₂, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 0₁ and 0₂ with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. a) Find an expression for Q2 b) If the horizontal force on the vane is zero, find an expression for Q₂ in terms of the other flow rates, areas and angles c) Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: A storage tank has hot water. This water at a temperature of 85 °C is pumped to a 600 cm height at a…

Q: As part of a processing of biofuels, water is pumped into a circular tank with a diameter Dt, as…

A: For the solution refer below images.

Q: A fluid is pumped at a rate of 0.00156 m /s through a 0.025-m-diameter pipe to fill a water tank as…

Q: A Large wind turbine has blade span diameters of 110 m. It sits high off the ground where the…

A: Given Data⇒Blade span diameterd=110 maverage wind speedv=7 msDensity of airρ=1.25…

Q: 2.attention to the piping system shown in the figure below. Pipes 1, 2, and 3 are installed in…

Q: Figure 8.12 shows a portion of a fire protection system in which a pump draws water at 60°F from a…

Q: V₂ = 5.84 Submit Previous Answers Correct Part B Determine the angle c2, which the velocity of the…

A: According to the given datadischarge, Q= 0.095 m3/smean radius, r=75 mmWe need to findthe velocity…

Q: Transcribed Image Text:As part of a processing of biofuels, water is pumped into a circular tank…

A: Applying the conservation of…

Q: A fire starts in an apartment building in downtown Boston. When the firefighters arrive, they…

A: As per the question, the water is coming out of the hydrant at a certain velocity. When that is…

Q: Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of…

Q: Pm = 900 kg/m 2.5 m Water 0.08 m

Q: Figure Q2 is a schematic of pump connected to the 80 mm diameter hose, if the average velocity of…

A: This question is solved with the help of bernoulli's equation. Using the Bernoulli's equation…

Q: s part of a processing of biofuels, water is pumped into a circular tank with a diameter Dt. s shown…

A: Fot solution refer below images.

Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional
areas of Ao and the flowrate is Qo. The exits have flow rates of Q₁ and Q2, and cross-
sectional areas of A₁ and A₂, respectively, as shown in Figure Q2. Pipes 1 and 2 are
deflected at angles of 0₁ and 0₂ with respect to the horizontal, as shown.
Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do
not change with time.
a) Find an expression for Q2
b) If the horizontal force on the vane is zero, find an expression for Q₂ in terms of the
other flow rates, areas and angles
c) Find an expression for the vertical force on the vane in terms of the flow rates, areas
and angles
Q₁
0₁
A₁
le
Ao
10₂
A₂
22
Figure Q2: Fluid entering a vanes and exiting in 2 directions.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: sub part a

VIEW

Step 2: Sub part - b:

VIEW

Step 3: sub-part c:

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 57 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

I need help with this question: Q. A sprinkler system pumps water through a large pipe inlet with a diameter (d1). The then breaks into N narrow Pipes (which have a diameter, d2, and a length, L2), before the water is released to the atmosphere, as shown in the figure. The entrance to the small pipe from the large pipe has a loss coefficient of KL. You may assume the flow is laminar and fully developed everywhere in the system, and that any changes in height are neglible. (The viscosity is NOT negligible) a) Find an expressin for the velocity of water leaving the sprinkler b) Find an Expression for the gauge pressure at point A, a distance L1 upstream of the narrow pipes. Express your answer in terms of the flowrate, Q. c) The inner diameter of the first segment of the pipe is d1 = 10mm, the inner diameter of the second set of pipes is d2 = 1mm, with N = 25. The flowrate through the sprinkler is Q = 0.2 L/s. Flow in pipes typically becomes turbulent when the Reynolds number exceeds…
3. A fire hydrant has an outlet diameter of 630 mm located 1.4 meters above the ground. If the water strikes the ground at a horizontal distance of 285 meters below the outlet, calculate the rate of discharge in gals. per min.
A pipe with a diameter of 2cm is attached to a garden hose with a nozzle. If the velocity of flow in the pipe is 2ms, what is the velocity of the flow at the nozzle when it is adjusted to have a diameter of 4mm?
Heavy machine tool lubricating oil (ref. Appendix C applied fluid mechanics) is pumped through six rectangular slots in a heat exchanger (oil flows in the white rectangles in section view a-a) as shown below. You may assume that the oil flows through the heat exchanger with a constant temperature of 40°C. If the flow rate from A to B is 3 cm³/sec determine the Reynolds number for the oil flow. Is the flow laminar or turbulent?