Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 2, Problem 82P
For flow over a plate, the variation of velocity with vertical distance y from the plate is given
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A viscous fluid flows in two different pipes. Pipe 1 has a radius r1, and Pipe 2 has a radius r2. If both pipes have the same length and r1 is smaller than r2, choose the correct statement about the pressure difference of the fluid in Pipe 1 and Pipe 2.
A.It cannot be determined in which pipe the fluid has larger pressure difference.
B.The fluid in Pipe 1 has larger pressure difference.
C.The pressure difference of the fluid is the same in Pipe 1 and Pipe 2.
D.The fluid in Pipe 2 has larger pressure difference.
if the velocity distribution of an oil over a plate is given by the relation, u=2/3y-y³ in which u is the velocity in m/s at a distance y meters above the plate, determine the shear stress at the boundaries of y=0 and y=0.15m. take the viscosity of oil to be 8.63 poise.
A rigid tank holds 20 lbm of air at a pressure of 20 psi and a temperature of 70°F. Increase the amount of air introduced into the tank until the pressure and temperature reach 35 psia and 90 degrees Fahrenheit, respectively. Calculate the quantity of air that has been pumped into the tank and construct a free body diagram.
Chapter 2 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 2 - What is the difference between intensive and...Ch. 2 - For a substance, what is the difference between...Ch. 2 - What is specific gravity? How is it related to...Ch. 2 - The specific weight of a system is defined as the...Ch. 2 - Under what conditions is the ideal-gas assumption...Ch. 2 - What is the difference between R and Ru? How are...Ch. 2 - A 75-L container is filled with 1 kg of air at a...Ch. 2 - A mass of 1-Ibm of argon is maintained at 200 psia...Ch. 2 - What is the specific volume of oxygen at 40 psia...Ch. 2 - A fluid that occupies a volume of 24 L weighs 22 N...
Ch. 2 - The air in an automobile tire with a volume of...Ch. 2 - The pressure in an automobile tire depends on the...Ch. 2 - A spherical balloon with a diameter of 9 m is...Ch. 2 - A cylindrical tank of methanol has a mass of 60kg...Ch. 2 - The combustion in a gasoline engine may be...Ch. 2 - Consider Table 2-1 in the textbook, which lists...Ch. 2 - What is vapor pressure? How is it related to...Ch. 2 - Does water boil at higher temperatures at higher...Ch. 2 - Prob. 22CPCh. 2 - What is cavitation? What causes it?Ch. 2 - Prob. 24EPCh. 2 - A pump is used to transport water to a higher...Ch. 2 - Prob. 26PCh. 2 - Prob. 27CPCh. 2 - List the forms of energy that contribute to the...Ch. 2 - How are heat, internal energy, and thermal energy...Ch. 2 - What is flow energy? Do fluids at rest possess any...Ch. 2 - How do the energies of a flowing fluid and a fluid...Ch. 2 - Using average specific heats, explain how internal...Ch. 2 - Prob. 33CPCh. 2 - Prob. 34EPCh. 2 - Saturated water vapor at 150°C (enthalpy...Ch. 2 - What does the coefficient of volume expansion of a...Ch. 2 - Prob. 37CPCh. 2 - Can the coefficient of compressibility of a fluid...Ch. 2 - Use the coefficient of volume expansion to...Ch. 2 - The volume of an ideal gas is to be reduced by...Ch. 2 - Water at 1 atm pressure is compressed to 400 atm...Ch. 2 - Prob. 42PCh. 2 - Saturated refrigerant-134a liquid at 10C is cooled...Ch. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - The density of seawater at a free surface where...Ch. 2 - Prob. 47EPCh. 2 - A frictionless piston-cylinder device contains 10...Ch. 2 - Reconsider Prob. 2-48. Assuming a bear pressure...Ch. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52CPCh. 2 - Prob. 53CPCh. 2 - In which medium will sound travel fastest for a...Ch. 2 - Prob. 55CPCh. 2 - Prob. 56CPCh. 2 - Prob. 57CPCh. 2 - Is then sonic ve1ocity a specified medium a fixed...Ch. 2 - Prob. 59PCh. 2 - Carbon dioxide enters an adiabatic nozzle at 1200...Ch. 2 - Prob. 61PCh. 2 - Assuming ideal gas behavior, determine the speed...Ch. 2 - Prob. 63PCh. 2 - Steam flows through a device with a pressure of...Ch. 2 - Air expands isentropically from 2.2 MPa 77C to 0.4...Ch. 2 - Repeat Prob. 2-66 for helium gas.Ch. 2 - The Airbus A-340 passenger plane has a maximum...Ch. 2 - Prob. 69CPCh. 2 - What is viscosity? What is the cause of it is...Ch. 2 - How does the kinematic viscosity of (a) liquids...Ch. 2 - Prob. 72CPCh. 2 - The viscosity of a fluid is to be measured by a...Ch. 2 - The dynamic viscosity of carbon dioxide at 50°C...Ch. 2 - Consider the flow of a fluid with viscosity ...Ch. 2 - The viscosity of a fluid is to be measured by a...Ch. 2 - A thin 30cm30cm flat plate is pulled at 3 m/s...Ch. 2 - A rotating viscometer consists of two concentric...Ch. 2 - For flow over a plate, the variation of velocity...Ch. 2 - In regions far from the entrance, fluid flow...Ch. 2 - Repeat Prob. 2-83 for umax=6m/s .Ch. 2 - A frustum-shaped body is rotating at a constant...Ch. 2 - A rotating viscometer consists of two concentric...Ch. 2 - A thin plate moves between two parallel,...Ch. 2 - Prob. 88PCh. 2 - A cylinder of mass m slides down from rest in a...Ch. 2 - What is surface tension” What is its cause? Why is...Ch. 2 - What is the capillary effect? What is its cause?...Ch. 2 - Prob. 92CPCh. 2 - Prob. 93CPCh. 2 - Is the capillary rise greater in small- or...Ch. 2 - Determine the gage pressure inside a soap bubble...Ch. 2 - A2.4-in-diameter soap bubble is to be enlarged by...Ch. 2 - Prob. 97PCh. 2 - Consider a 0.15-mm diameter air bubble a liquid....Ch. 2 - Prob. 99PCh. 2 - A capillary tube of 1.2 mm diameter is immersed...Ch. 2 - Prob. 101EPCh. 2 - Prob. 102PCh. 2 - Contrary to what you might expect, a solid steel...Ch. 2 - Nutrients dissolved in water are carried to upper...Ch. 2 - Consider a 55-cm-long journal bearing that is...Ch. 2 - Prob. 106PCh. 2 - Prob. 107EPCh. 2 - A 10-m3 tank contacts nitrogen at 25C and 800kPa....Ch. 2 - The absolute pressure of an automobile tire is...Ch. 2 - The analysis of a propeller that operates in water...Ch. 2 - A closed tank is partially filled with water at...Ch. 2 - Prob. 112PCh. 2 - A rigid tank contains an ideal gas at 300kPa and...Ch. 2 - The composition of a liquid with suspended solid...Ch. 2 - A newly produced pipe with diameter of 3m and...Ch. 2 - Prove that the coefficient of volume expansion for...Ch. 2 - Although liquids, in general, are hard to...Ch. 2 - Air expands isentropically from 200psia and 240F...Ch. 2 - Prob. 120PCh. 2 - Reconsider Prob. 2-120. The shaft now rotates with...Ch. 2 - Derive a relation for the capillary rise eta...Ch. 2 - A 10-cm diameter cylindrical shaft rotates inside...Ch. 2 - A large plate is pulled at a constant spend of...Ch. 2 - Some rocks or bricks contain small air pockets in...Ch. 2 - A fluid between two very long parallel plates is...Ch. 2 - The rotating parts of a hydroelectric power plant...Ch. 2 - The viscosity of some fluids changes when a strong...Ch. 2 - Prob. 129PCh. 2 - Prob. 130PCh. 2 - Prob. 131PCh. 2 - Oil of viscosity =0.0357Pas and density...Ch. 2 - Prob. 133PCh. 2 - Prob. 134PCh. 2 - Prob. 135PCh. 2 - Prob. 136PCh. 2 - Prob. 137PCh. 2 - Liquid water vaporizes into water vaper as it ?aws...Ch. 2 - In a water distribution system, the pressure of...Ch. 2 - The pressure of water is increased from 100kPa to...Ch. 2 - An ideal gas is compressed isothermally from...Ch. 2 - The variation of the density of a fluid with...Ch. 2 - Prob. 143PCh. 2 - The viscosity of liquids and the viscosity of...Ch. 2 - Prob. 145PCh. 2 - Prob. 146PCh. 2 - Prob. 147PCh. 2 - The dynamic viscosity of air at 20C and 200kPa is...Ch. 2 - A viscometer constructed of two 30-cm -long...Ch. 2 - A 0.6-mm-diameter glass tube is inserted into...Ch. 2 - Prob. 151PCh. 2 - Prob. 152PCh. 2 - Prob. 153PCh. 2 - Prob. 155PCh. 2 - Prob. 156PCh. 2 - Prob. 157PCh. 2 - Evan though steel is about 7 to 8 times denser...
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- A rigid tank holds 20 lbm of air at a pressure of 20 psi and a temperature of 70°F. Increase the amount of air introduced into the tank until the pressure and temperature reach 35 psia and 90 degrees Fahrenheit, respectively. Calculate the amount of air that should be pumped or added into the tank.arrow_forwardDetermine the internal energy of water at 20 psia and 400°F.arrow_forwardNitrogen having a temperature of T1�1 = 270 KK . and absolute pressure of p1�1 = 330 kPakPa flows into the smooth pipe at M1M1 = 0.3. It is heated at 100 kJ/[kg⋅m]kJ/[kg⋅m]. Determine the velocity of the nitrogen when it exits the pipe at section 2. Express your answer to three significant figures and include the appropriate units. Determine the pressure of the nitrogen when it exits the pipe at section 2. Express your answer to three significant figures and include the appropriate units.arrow_forward
- 1. A 3 m diameter container containing 2.5 m of water is being raised. Determine the following: (A). The pressure at the bottom of the container (in psi) when the velocity is constant. (B). The pressure at the bottom of the container when it is accelerating upward at a rate of 0.8 m/s^2.arrow_forwardPure water flows steadily down a surface below the horizontal in a film of thickness h=0.3. mm . Determine the magnitude of the shear stress (N / (m ^ 2)) that acts on the water surface and bottom Assume the kinematic viscosity, v = 1 * 10 ^ - 3 * m ^ 2 / s The velocity profile is given by , u = (hy - (y ^ 2)/2) * g/varrow_forwardevaluate the work done on or by the substance as the pressure increases from 70 kpaa to 700 kpaa.arrow_forward
- Which of the following quantities have the dimensions of adistance? (a) vt, (b) 12at2, (c) 2at, (d) v2>aarrow_forwardNitrogen having a temperature of T1�1 = 270 KK . and absolute pressure of p1�1 = 330 kPakPa flows into the smooth pipe at M1M1 = 0.3. It is heated at 100 kJ/[kg⋅m]kJ/[kg⋅m]. (Figure 1) Determine the velocity of the nitrogen when it exits the pipe at section 2. Express your answer to three significant figures and include the appropriate units. Determine the pressure of the nitrogen when it exits the pipe at section 2. Express your answer to three significant figures and include the appropriate units.arrow_forwardUnder what conditions can a moving body of fluid be treated as a rigid body?arrow_forward
- Express Newton’s first, second, and third laws.arrow_forwardA viscous fluid flows in two different pipes. Pipe 1 has a length L1, and Pipe 2 has a radius L2. If both pipes have the same diameter and L1 > L2, choose the correct statement about the pressure difference of the fluid in Pipe 1 and Pipe 2. The fluid in Pipe 1 has larger pressure difference. The fluid in Pipe 2 has larger pressure difference. The pressure difference of the fluid is the same in Pipe 1 and Pipe 2. It cannot be determined in which pipe the fluid has larger pressure difference.arrow_forward3. Air in the 10 m3 tank has a pressure of 500kPa and temperature of 400C. Determine the mass of the air in the tank.arrow_forward
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