Freshwater and seamier flowing in parallel horizontal pipelines are connected to each other by a double U-tube manometer, as shown in Fig. P3-48. Determine the pressure difference between the two pipelines. Take the density of seawater at that location to be
The pressure difference between two pipelines.
Answer to Problem 48P
The pressure difference is
Explanation of Solution
Given information:
The density of seawater is
The following figure represents freshwater and seawater flowing in parallel horizontal pipelines which are connected to each other by a double U-tube manometer.
Figure 1
Write the equation for the pressure difference of sea water and fresh water.
Here, the pressure difference is
Write the expression for pressure on air.
Here, density of air is
Write the expression for density of mercury.
Here, specific gravity of mercury is
Write the expression for pressure on mercury.
Here, pressure on mercury is
Write the expression for pressure on seawater.
Here, pressure on seawater is
Write the expression for pressure on seawater.
Here, pressure on freshwater is
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The pressure difference is
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Chapter 3 Solutions
Fluid Mechanics: Fundamentals and Applications
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