Consider the system shown in Fig. P3-51. If a change of 0.9 kPa in the pressure of air causes the brine-mercury interface in the ratio to right column to drop by 5 mm in the brine level in the right column while the pressure in the bine pipe remains constant, determine.
The ratio of
Answer to Problem 51P
The ratio of
Explanation of Solution
Given information:
The change in pressure is
The following figure shows the arrangement of the liquids in the differential tube.
Figure-(1)
Write the expression for equating the pressure of the fluids in both the limbs initially.
Here, the initial pressure of air is
Pressure in the left side of the limb is equal to the pressure in the right limb.
Write the expression for equating the pressure of the fluid in both the limbs after the pressure drop of air.
Here, the final pressure of the air is
Substitute
Here, the change in differential mercury height is
Write the equation for the volume of brine as it remains constant.
Write the expression change of mercury level in the arrangement.
Substitute
Substitute
Here, the pressure difference is
Calculation:
Substitute
Conclusion:
The ratio of
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Chapter 3 Solutions
Fluid Mechanics: Fundamentals and Applications
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L