Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of AO and the flowrate is Q0. 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. 1. Find an expression for Q2 2. If the horizontal force on the vane is zero, find an expression for Q2 in terms of the other flow rates, areas and angles. 3. 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 AO and the flowrate is Q0. 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. 1. Find an expression for Q2 2. If the horizontal force on the vane is zero, find an expression for Q2 in terms of the other flow rates, areas and angles. 3. 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: asoline at 77°F flows from a pressurized upper tank to a vented lower tank as shown in the figure…

A: Givenh2=52.8ftTemp=77°Fρgasoline=45lb/ft3

Q: art A - The three tanks shown in the figure below are connected by new cast ire he diameter and…

A: To given thatε=0.26D1=1m=1000mm D2=0.8m=800mmD3=1.2m=1200mmL1=200m…

Q: nd the diameter of the pipe in mm. The discharge of the pipe is 20 lit/sec with the velocity of…

A: Given data: Discharge of the pipe (Q) = 20 lit/s Velocity of the water (v) = 4.75 m/s Need to…

Q: Oil with a specific weight of 10.55 kN/m^3 is flowing from A to B through the special fabricated…

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

Q: A piping system has a Y-configuration for separating the flow as shown in Figure 4. The diameter of…

A: Given data:

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: Problem 3: A submersible deep-well pump delivers 745 gal/ h of water through a 1-in Schedule 40 pipe…

A: Given Data The flow rate of water is:Q=745 gal/h=0.0276644 ft3/s The head loss in pipe is:hL=10.5…

Q: The three tanks shown in the figure below are connected by new cast iron pipes (ɛ = 0.26 mm). The…

A: Given: To Determine: Flow rate in pipe 2 and 3 and required pump power.

Q: Hydraulic fluid flows at velocity of 200 in/min through a conduit with an internal diameter of 2…

A: The objective of this question is to calculate the flow rate of hydraulic fluid in gallons per…

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

Q: 5. The water in the right figure is flowing steadily. What is the flow rate?

A: Total head for water h =10+10=20 ft Velocity of water coming from pipe will be given by,…

Q: The pressure through a section of pipe is 21 PSI and the velocity of the fluid is 1 ft/sec. If the…

A: given data; pressure at section 1st (P1)=21PSI=144789.903pavelocity at section…

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

A: Applying the conservation of…

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 Q0. 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.
1. Find an expression for Q2
2. If the horizontal force on the vane is zero, find an expression for Q2 in terms of the
other flow rates, areas and angles.
3. Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles
Q₂₁
1
Ꮎ .
1
A₁
Qo
Ao
0.
2
A₂
Q₂

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: given data

VIEW

Step 2: to find

VIEW

Step 3: continuity equation

VIEW

Step 4: momentum equation

VIEW

Step 5: expression for Q2

VIEW

Step 6: expression for the vertcal force

VIEW

Solution

VIEW

Step by step

Solved in 7 steps with 7 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

A fire starts in an apartment building in downtown Boston. When the firefighters arrive, they immediately get to work putting out the fire using a fire hose. The water for the fire hose is provided by a fire hydrant at ground level. Assume that the velocity of the liquid coming from the fire hydrant is 1.6 m/s, and that the pressure at the hose nozzle is atmospheric pressure (101000 Pa). a. The firefighters start with the ground floor, so there is no change in height between the fire hydrant and the hose nozzle. If the velocity of the water coming out of the nozzle is 12.8 m/s, find the pressure at the fire hydrant in units of Pa. b. After the ground floor fire is put out, another fire is spotted on another floor. A firefighter carrying the hose is lifted on a platform to the same height as the fire, which is 44.35 m above the ground. Assuming that the pressure found in part a) remains constant, what would be the new velocity of the water coming out of the nozzle at this new height?
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.
Water flows at a rate of 500 gal/min through a 400-ft-long line. The first and last 100 ft of the line are 6-in-diameter cast iron pipes, while the middle 200 ft consists of two 4.24-in-diameter cast iron pipes. Find: a. Provide a diagram b. the average velocity in each section of pipe, c. the pressure drop in each length of pipe, and d. the total pressure drop.
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.
Topics: Fundamental of fluid flow Oil (SG=0.82) entering a pump through an 8-inch diameter pipe at 4 psi has a flow rate of 3.5 cfs. It leaves the pump through a 4-inch diameter pipe at 15 psi. Assuming that the suction and discharge sides of the pump are at the same elevation, find the horsepower delivered to the water by the pump (550 lb.ft/s = 1 HP). Illustrate the problem and show your complete solution.