Fox and McDonald's Introduction to Fluid Mechanics
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 1, Problem 34P

The mass flow rate in a water flow system determined by collecting the discharge over a timed interval is 0.2 kg/s. The scales used can be read to the nearest 0.05 kg and the stopwatch is accurate to 0.2 s. Estimate the precision with which the flow rate can be calculated for time intervals of (a) 10 s and (b) 1 min.

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A 100 mm by 50 mm Venturi meter is installed in a 100 mm diameter pipe to measure the flow of a certain liquid (sp gr 1.20). A differential gage connected with the inlet and throat contains a substance (sp gr 1.5) in the lower part of the tube, the remainder of the tube being filled with the certain liquid. The difference in height of substance columns in the two legs of the tube is 75 cm. If the coefficient of the meter is 0.97, compute the actual discharge.
A thermometer having a time constant of 0.2 min is placed in a temperature bath, and after the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly with time at a rate of l0 C/min. What is the difference between the indicated temperature and the bath temperature (a) 0.1 min, (b) 1.0 min after the change in temperature begins?
Fluid originally flows through a tube at a rate of 110 cm3 /s. To illustrate the sensitivity of flow rate to various factors, calculate the new flow rate for the following changes with all other factors remaining the same as in the original conditions.Randomized VariablesPx = 2.5ηx = 3.2rx = 0.14lx = 4.6Q = 110 cm3/s Part (a)  Calculate the new flow rate in cm3/s if the pressure difference increases by a factor of 2.5 . Part (d)  Calculate the new flow rate if another tube is used with a radius 0.14 times the original.     Part (e)  Calculate the new flow rate if yet another tube is substituted with a radius 0.14 times the original and half the length, and the pressure difference is increased by a factor of 2.5.

Chapter 1 Solutions

Fox and McDonald's Introduction to Fluid Mechanics

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