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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Textbook Question
Chapter 3, Problem 23P
Water flows downward along a pipe that is inclined at 30° below the horizontal, as shown. Pressure difference pA − pB is due partly to gravity and partly to friction. Derive an algebraic expression for the pressure difference. Evaluate the pressure difference if L = 5 ft and h = 6 in.
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A water filled pipe has water flowing at v1= 5.90 m/s in a section of pipe where the diameter is d1= 20.2 cm and the pressure is known to be P1= 7.00×104 N/m2 above atmospheric pressure.
a.
If the pipe carries the water 3.5 meters up hill without any change in diameter, what is the new absolute pressure within the pipe?
b.
After flowing up the hill described above, the pipe narrows to 80% of its original radius, what will be the new water velocity (v2) in the pipe?
c.
What will be the absolute pressure (P3) in the smaller pipe?
d.
What is the volume flow rate through the smaller pipe?
Three hundred and eighty five gallons of water per minute is flowing through a 4.3-in radius horizontal pipe. If the bore of the pipe is reduced to 2.7-in radius and the pressure in the smaller pipe is 93 psig, what is the pressure in the larger section of the pipe?
Include schematic diagram.
Consider the pipe system in the diagram below. Tank 1 is a closed tank and the pressure in tank 1 is kept constant at 200kPa. The water level in tank 1 is at 1.5m. You as an engineer are required to install a frictionless pipe between points A and B. Analyze the system and determine what is the maximum length of pipe would you recommend between A and B?
The following conditions are applicable
The gravitational acceleration is 9.81m/s2.
The minimum required flow rate is 0.5m3/s.
The atmospheric pressure is 85kPa.
The water in the tank is saturated water with a density of 997kg/m3.
The pipe inlet and outlet are both sharp-edged.
Chapter 3 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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