Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Chapter 4, Problem 94P
A stream of water from a 50-mm-diameter nozzle strikes a curved vane, as shown. A stagnation tube connected to a mercury-filled U-tube manometer is located in the nozzle exit plane. Calculate the speed of the water leaving the nozzle. Estimate the horizontal component of force exerted on the vane by the jet. Comment on each assumption used to solve this problem.
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Problem 5.2.28 of Gehart, et al. (Problem 66, 7th ed.)
Air discharges from a 2-in.-diameter nozzle and strikes a curved vane, which is in a vertical plane, as shown
below. A stagnation tube connected to a water U-tube manometer is located in the free air jet. Determine the
horizontal component of the force that the air jet exerts on the vane. Neglect the weight of the air and all
friction.
Air
Open
Water-
Stagnation
tube
7 in.
r Fixed vane
12-in. dia.
Free
air jet
30°
The airduct shown below has a slanted exit, the
dimension of which is 2 inch by 3 inch. Air is flowing
out of the duct at a velocity of 6 ft/s, 45° to the surface
of the exit. Pressure is 1 bar (14.7 psia) and
temperature is 60 °F. Please compute
• Density of air at this pressure and temperature;
• Mass rate-of-flow through the duct;
• Momentum rate-of-flow through the duct along
the direction of air flow.
3 in.
Air flow
6 ft/s
2 in.
Side view
45°
Read carefully and solve this problem correctly ?
Chapter 4 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 4 - An ice-cube tray containing 250 mL of freshwater...Ch. 4 - A hot air balloon with an initial volume of 2600...Ch. 4 - A fully loaded Boeing 777-200 jet transport...Ch. 4 - On the Milford Trek in New Zealand, there is a...Ch. 4 - A high school experiment consists of a block of...Ch. 4 - For a small particle of styrofoam (density = 19.2...Ch. 4 - Air at 20C and an absolute pressure of 101.3 kpa...Ch. 4 - A block of copper of mass 5 kg is heated to 90C...Ch. 4 - The average rate of heat loss from a person to the...Ch. 4 - The velocity field in the region shown is given by...
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The fluid is water....Ch. 4 - A monotube boiler consists of a 6 m length of...Ch. 4 - Water is discharged at a flow rate of 0.3m3/s from...Ch. 4 - A nozzle for a spray system is designed to produce...Ch. 4 - The horizontal velocity in the wake behind an...Ch. 4 - An incompressible fluid flows steadily in the...Ch. 4 - Consider the incompressible flow of fluid in a...Ch. 4 - Air at standard conditions flows along a flat...Ch. 4 - Gases leaving the propulsion nozzle of a rocket...Ch. 4 - Two large tanks containing water have small...Ch. 4 - Students are playing around with a water hose....Ch. 4 - A 2-kg disk is constrained horizontally but is...Ch. 4 - A stream of water from a 50-mm-diameter nozzle...Ch. 4 - A plane nozzle discharges vertically 1200 L/s per...Ch. 4 - In ancient Egypt, circular vessels filled with...Ch. 4 - Incompressible fluid of negligible viscosity is...Ch. 4 - The narrow gap between two closely spaced circular...Ch. 4 - Design a clepsydra (Egyptian water clock), which...Ch. 4 - Water from a stationary nozzle impinges on a...Ch. 4 - A freshwater jet boat takes in water through side...Ch. 4 - The Canadair CL-215T amphibious aircraft is...Ch. 4 - Water, in a 100-mm-diameter jet with speed of 30...Ch. 4 - Consider a series of turning vanes struck by a...Ch. 4 - A steady jet of water is used to propel a small...Ch. 4 - The cart of Problem 4.105 is accelerated by a jet...Ch. 4 - A vane/slider assembly moves under the influence...Ch. 4 - A cart is propelled by a liquid jet issuing...Ch. 4 - For the vane/slider problem of Problem 4.107, find...Ch. 4 - If the cart of Problem 4.105 is released at t = 0,...Ch. 4 - The wheeled cart shown rolls with negligible...Ch. 4 - A rocket sled is to be slowed from an initial...Ch. 4 - Starting from rest, the cart shown is propelled by...Ch. 4 - Solve Problem 4.107 if the vane and slider ride on...Ch. 4 - For the vane/slider problem of Problem 4.114, plot...Ch. 4 - A rectangular block of mass M, with vertical...Ch. 4 - A vertical jet of water impinges on a horizontal...Ch. 4 - A rocket sled traveling on a horizontal track is...Ch. 4 - A rocket sled accelerates from rest on a level...Ch. 4 - A rocket sled with initial mass of 900 kg is to be...Ch. 4 - A rocket sled with initial mass of 3 metric tons,...Ch. 4 - A home-made solid propellant rocket has an initial...Ch. 4 - Neglecting air resistance, what speed would a...Ch. 4 - The moving tank shown is to be slowed by lowering...Ch. 4 - The 90 reducing elbow of Example 4.6 discharges to...Ch. 4 - Crude oil (SG = 0:95) from a tanker dock flows...Ch. 4 - The simplified lawn sprinkler shown rotates in the...Ch. 4 - Calculate the torque about the pipes centerline in...Ch. 4 - A fire truck is equipped with a 66 ft long...Ch. 4 - Calculate the torque exerted on the flange joint...Ch. 4 - Consider the sprinkler of Problem 4.130 again....Ch. 4 - A small lawn sprinkler is shown. The sprinkler...Ch. 4 - When a garden hose is used to fill a bucket, water...Ch. 4 - A pipe branches symmetrically into two legs of...Ch. 4 - Compressed air is stored in a pressure bottle with...Ch. 4 - A turbine is supplied with 0.6 m3/s of water from...Ch. 4 - Air is drawn from the atmosphere into a...Ch. 4 - At high speeds the compressor and turbine of the...Ch. 4 - Transverse thrusters are used to make large ships...Ch. 4 - All major harbors are equipped with fire boats for...Ch. 4 - A pump draws water from a reservoir through a...Ch. 4 - Liquid flowing at high speed in a wide, horizontal...
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