Concept explainers
Fuel oil of density
The rate of flow if a fuel oil flows through a venturi meter and the pressure drop between the entrance and the throat is
Answer to Problem 40SP
Solution:
Explanation of Solution
Given data:
The density of fuel oil is
The diameter of the throat of ventureis
The entrance diameter of the venture is
The density of mercury is
The dropin pressure between entrance and throat of the venture is
Formula used:
Write the expression for the equation of continuity:
Here,
Write the expression for Bernoulli’s equation:
Here,
Write the expression for area:
Here,
Write the expression forabsolute pressure:
Here,
Explanation:
Recall the expression for entrance cross-sectional area of the venture:
Here,
Substitute
Recall the expression for throat cross-sectional area of the venture:
Here,
Substitute
Recall the expression for the equation of continuity:
Substitute
Calculate the value of the difference in pressure:
Recall the expression for drop in pressure:
Here,
Substitute
Recall the expression for Bernoulli’s equation:
Here, fluid is same at the entrance and the exit point of the venture. Therefore,
Substitute
Consider the height of the throat and the entrance point is same. Therefore,
Substitute
Substitute
Recall the expression for the discharge of the oil at the entrance point of the venture:
Substitute
Conclusion:
Therefore, theflow rate of the oil is
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Chapter 14 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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