In the jet impact experiment, water jet impacts on a curved vane in the vertical direction. As shown in the figure below, the exit has an angle with respect to the vertical direction. The distance from the nozzle to the vane surface at the exit is h. The water volume flow rate is measured to be Q, the density of water is p, and the cross section area of the nozzle is Ao. Assume that the flow has reached the steady state. (1)】 Use the Bernoulli's equation to determine the velocity vout at the exit of the vane. Assume that friction between water and the curved vane can be neglected. (2) Apply the Reynolds transport theorem to derive the expression of the impact force F, on the curved vane (neglect the jet weight). (3) Under the condition of a fixed volume flow rate Q, determine the maximum impact force Fr,max that can be obtained when the angle varies (e.g. in different vane designs). Vout Ao Vout h

In the jet impact experiment, water jet impacts on a curved vane in the vertical direction. As shown in the figure below, the exit has an angle with respect to the vertical direction. The distance from the nozzle to the vane surface at the exit is h. The water volume flow rate is measured to be Q, the density of water is p, and the cross section area of the nozzle is Ao. Assume that the flow has reached the steady state. (1)】 Use the Bernoulli's equation to determine the velocity vout at the exit of the vane. Assume that friction between water and the curved vane can be neglected. (2) Apply the Reynolds transport theorem to derive the expression of the impact force F, on the curved vane (neglect the jet weight). (3) Under the condition of a fixed volume flow rate Q, determine the maximum impact force Fr,max that can be obtained when the angle varies (e.g. in different vane designs). Vout Ao Vout h

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: diameter of 500 mm, 1.3 meters above t at a horizontal distance of 3.5 meters

A: Data we have Diameter D = 75mm = 0.075m Area ,A = π /4 D² = π/ 4 (0.075)² =4.4179*10³ m² h =…

Q: In a radial flow pump ; the relationship between flow velocity : Vf , radius : R , blade width :b is…

A: In a radial flow pump ; the relationship between flow velocity : Vf , radius : R , blade width :b is…

Q: The following data pertains to a turbo-jet system flying at 9500 m height with a speed of 800 km/hr…

A: The answer is in the next steps

Q: The air mass flow rate in a compressor is 2 kg/s. The rotational speed is 10,000 rpm, with the inlet…

A: Given DataN=10000rpmm=2kg/sT=293KP=1.05kPaZ=21

Q: thin disc with mass 0.018 kg is kept balanced by a jet of air. The diameter of the jet at the nozzle…

Q: At inlet to a certain nozzle the specific enthalpy of the fluid passing 3500 kJ/kg and the velocity…

Q: When air expands adiabatically (without gaining or losing heat), it's pressure P and volume V are…

Q: A thin disc with mass 0.01 kg is kept balanced by a jet of air. The diameter of the jet at the…

A: The mass of the disc is: m= 0.01 kgThe diameter of the jet nozzle is: d=5 mm = 0.005 mThe density of…

Q: Water flows vertically out of a nozzle with a contraction ratio (Dpipe/Dnozzle) of 4.1. The velocity…

Q: • The firefighter holds the hose 1 m off the ground. What is the speed of the flow as it leaves the…

A: according to bartleby policy, answering first 3 subparts only.

Q: Shown below is the water jet flow from a pressurized closed tank. The vertical distance between free…

Q: 24 m3/s of water flowing through the fixed vanes of a turbine, has a tangential velocity component…

Q: Hot water at a constant volumetric flow rate of Fh and temperature Th(t) is mixed with cold water…

A: Given: Hot water at a constant volumetric flow rate of Fh and temperature Th(t) cold water at a…

Concept explainers

Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.

Question

In the jet impact experiment, water jet impacts on a curved vane in the
vertical direction. As shown in the figure below, the exit has an angle with respect to
the vertical direction. The distance from the nozzle to the vane surface at the exit is h.
The water volume flow rate is measured to be Q, the density of water is p, and the cross
section area of the nozzle is A₁. Assume that the flow has reached the steady state.
(1)
Use the Bernoulli's equation to determine the velocity Vout at the exit of
the vane. Assume that friction between water and the curved vane can be neglected.
(2)
Apply the Reynolds transport theorem to derive the expression of the
impact force F, on the curved vane (neglect the jet weight).
(3)
Under the condition of a fixed volume flow rate Q, determine the maximum
impact force Fr,max that can be obtained when the angle varies (e.g. in different vane
designs).
Va out
9
Ao
Vout
h

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Write down the given data and the objective of the question.

VIEW

Step 2: Findint the relation for exit velocity using bernoulli's equation.

VIEW

Step 3: Determining the expression of the impact force.

VIEW

Step 4: Determining the maximum impact force

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 41 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

Shown below is the water jet flow from a pressurized closed tank. The vertical distance between free surface and the jet nozzle is . The vertical distance between the highest point of the water jet and the jet nozzle is . The flow is steady and no energy loss is involved. The acceleration due to gravity is . The water's specific gravity is . Find the correct simplified Bernoulli's equation for point 2 and point 3________
Q.47 A lawn sprinkler as shown in figure has arm fitted with nozzle of diameter 1.0 cm and discharges water at the rate of 12 m/sec velocity. Determine the torque required to hold the sprinkler and speed of steady state if it is free to rotate. 12 nvsee 12 in/sec 20.cm 30 cm
Show complete solution: Prove that for a fluid with a constant density ρ flowing at a steady-state through a straight pipe with an entry diameter of D1 and an exit diameter of D2 where D1 > D2, the difference of the velocities, i.e. v1 – v2 (velocity in – velocity out), has a negative value. Suppose that for the same system, the ratio of the velocities v1/v2 = 1/4, what is the relationship between D1 and D2?
A centrifugal fan rotates at a speed of 1460r/min and must deliver 1, 3m^3/s of air of density 1,22kg/m^3 at a total pressure of 370pa. Assume the manometric efficiency of the fan is 55% and that the whirl velocity at the exit of the impeller is double that of the peripheral velocity. Ignore mechanical losses and calculate a) the peripheral velocity of the impeller. b) the diameter of the impeller c) the power required to drive the fan
Towards the inside of a cylindrical tank with diameter: D = 24 m, water flows through a tube 1 with a velocity v1 = 20 m / s and exits through tubes 2 and 3 with velocities v2 = 8 m / s and v3 = 10 m / s respectively. At 4 there is a vent valve open to the air from the atmosphere. (a) What is the speed with which the level rises of water in the tank? (b) what is the average velocity of the air flow at valve 4? assuming air is incompressible. Assume the following pipe diameters: D1 = 3 m, D2 = 2 m, D3 = 2.5 m, D4 = 2 m, consider that the density of water is: ρw = 103 kg / m3 , and the density of air is: ρa = 1.2 kg / m3
A thin disc with mass 0.018 kg is kept balanced by a jet of air. The diameter of the jet at the nozzle exit is 5 mm. Find the air jet velocity in m/s. Please note that the only forces involved are the weight of the disc and the force from the air jet (the two are balanced). Use the air density of 1.07 kg/m^3 , g = 9.81 m/s^2 and the correction factor beta of 1
A pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle β2 is 158° and the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet velocity diagram and calculate the various velocities and angles(d)calculate the water horsepower.
5. Consider two tanks, A and B, each with a large opening at the top. The two tanks contain different liquids. A small hole is made in the side of each tank at the same depth h below the liquid surface, but the hole in tank A has three times the cross-sectional area of the hole in tank B. (a) If it is known that the mass flow rate is the same for the two holes, find the ratio of PALPB of the densities of the liquids in tanks A and B. (b) (c) equal volume flow rates, what height above the hole must the liquid in tank A be just then? Find the ratio RVAIRVB of the volume flow rates from the two tanks. At one instant, the liquid in tank B is 90 cm above the hole. If the tanks are to have
Q4. Water from a reservoir is conveyed via a pipeline of constant diameter and 1000m length to a turbine situated 90m below the reservoir surface level. The velocity of flow through the pipeline is 5m/s and the energy loss due to friction in the pipeline is 200J/kg. The water leaves the turbine at atmospheric pressure (100 kN/m2) and with negligible velocity. Assuming an efficiency of 85% for the turbine, determine: a). Pipeline diameter b). Pressure at entry to turbine c). Turbine power output. Take f = 0.025
Problem 1. Air in a diffuser (diffuser: A device that increases pressure of a fluid by decreasing fluid velocity). Air enters the diffuser at a inlet outlet steady velocity of 200 m/s, T= 10 °C, and P = 80 kPa. The inlet area of the diffuser is 0.4 m². The air leaving the diffuser (outlet) has a very diffuser small velocity compared to the inlet velocity. Find the mass flow rate (kg/s) of the air and the temperature (°C) leaving the diffuser.
I need the answer as soon as possible
Q4) The nozzles receive steam at 1.75 MPa, 300 °C, and exit pressure of steam is 1.05 MPa. If there are 16 nozzles, find the cross-sectional area of the exit of each nozzle for a total discharge to be 280 kg/min. Assume nozzle efficiency of 90%. If the steam has velocity of 120 m/s at the entry to the nozzles, by how much would the discharge be increased?