
Concept explainers
(a)
The volume flow rate in the tube if the fluid in the tube is gasoline.

Answer to Problem 3.120P
The volume flow rate in the tube if the fluid in the tube is gasoline is
Given information:
The diameter of the tube in which fluid is flowing is
Concept Used:
The following figure shows the two sections where we apply the Bernoulli equation.
Figure-(1)
Write the expression for Bernoulli equation at section (1) and section (2).
Substitute
Here, pressure at section (1) is
Substitute
Write the expression for finding the pressure difference by using the manometer reading.
Here, the pressure difference between the limbs of manometer is
Write the expression for the flow rate.
Here, cross section area of the tube is
Write the expression for cross section area.
Here, diameter of the tube is
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the volume flow rate in the tube if the fluid in the tube is gasoline is
(b)
The volume flow rate in the tube if the fluid in the tube is nitrogen.
The volume flow rate in the tube if the fluid in the tube is nitrogen is
Given information:
The diameter of the tube in which fluid is flowing is
Concept Used:
Write the expression for ideal gas equation.
Here, the density of the fluid inside the tube is
Write the expression for discharge/flow rate.
Here, the cross section area of the tube is
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the volume flow rate in the tube if the fluid in the tube is nitrogen is
Explanation of Solution
Given information:
The diameter of the tube in which fluid is flowing is
Concept Used:
The following figure shows the two sections where we apply the Bernoulli equation.
Figure-(1)
Write the expression for Bernoulli equation at section (1) and section (2).
Substitute
Here, pressure at section (1) is
Substitute
Write the expression for finding the pressure difference by using the manometer reading.
Here, the pressure difference between the limbs of manometer is
Write the expression for the flow rate.
Here, cross section area of the tube is
Write the expression for cross section area.
Here, diameter of the tube is
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the volume flow rate in the tube if the fluid in the tube is gasoline is
(b)
The volume flow rate in the tube if the fluid in the tube is nitrogen.

Answer to Problem 3.120P
The volume flow rate in the tube if the fluid in the tube is nitrogen is
Explanation of Solution
Given information:
The diameter of the tube in which fluid is flowing is
Concept Used:
Write the expression for ideal gas equation.
Here, the density of the fluid inside the tube is
Write the expression for discharge/flow rate.
Here, the cross section area of the tube is
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the volume flow rate in the tube if the fluid in the tube is nitrogen is
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Chapter 3 Solutions
Fluid Mechanics
- The sketch below gives some details of the human heart at rest. What is the total power requirement (work/time) for an artificial heart pump if we use a safety factor of 5 to allow for inefficiencies, the need to operate the heart under stress, etc.? Assume blood has the properties of water. p pressure above atmosphere blood going to the lungs for a fresh charge of oxygen p = 2.9 kPa 25v pulmonary artery d = 25mm fresh oxygenated blood from the lungs p = 1.0 kPa vena cava d=30mm right auricle pulmonary vein, d = 28mm aorta, d=20mm spent blood returning from left auricle the body p = 0.66 kPa right left ventricle ventricle blood to feed the body, p 13 kPa normal blood flow = 90 ml/sarrow_forward4- A horizontal Venturi meter is used to measure the flow rate of water through the piping system of 20 cm I.D, where the diameter of throat in the meter is d₂ = 10 cm. The pressure at inlet is 17.658 N/cm2 gauge and the vacuum pressure of 35 cm Hg at throat. Find the discharge of water. Take Cd = 0.98.arrow_forward10arrow_forward
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