Fluid Mechanics: Fundamentals and Appli...4th EditionYunus A. Cengel Dr., John M. Cimbala Publisher: McGraw-Hill EducationISBN: 9781259696534
Fluid Mechanics: Fundamentals and Appli...
Solutions for Fluid Mechanics: Fundamentals and Applications
Problem 2CP:
For a substance, what is the difference between mass and molar mass? How are these two related?Problem 4CP:
The specific weight of a system is defined as the weight per unit volume (note that this definition...Problem 7P:
A 75-L container is filled with 1 kg of air at a temperature of 27C . What is the pressure in the...Problem 8EP:
A mass of 1-Ibm of argon is maintained at 200 psia and 100°F in a tank. What is the volume of the...Problem 10P:
A fluid that occupies a volume of 24 L weighs 22 N at a location where the gravitational...Problem 11EP:
The air in an automobile tire with a volume of 2.60 ft3 is at 70°F and 22 psig. Determine the amount...Problem 12P:
The pressure in an automobile tire depends on the temperature of air in the tire. When the air...Problem 13P:
A spherical balloon with a diameter of 9 m is filled with helium at 20C and 200 kPa. Determine the...Problem 15P:
A cylindrical tank of methanol has a mass of 60kg and a volume of 75 L. Determine the methanol’s...Problem 16P:
The combustion in a gasoline engine may be approximated by a constant volume heat addition process,...Problem 19P:
Consider Table 2-1 in the textbook, which lists the specific gravities of various substances. (a)...Problem 23CP:
What is cavitation? What causes it?Problem 25P:
A pump is used to transport water to a higher reservoir. If the water temperature is 20°C, determine...Problem 31CP:
How do the energies of a flowing fluid and a fluid at rest compare? Name the specific forms of...Problem 32CP:
Using average specific heats, explain how internal changes of ideal gases and incompressible...Problem 35P:
Saturated water vapor at 150°C (enthalpy h=2745.9kJ/kg ) flows in a pipe at 35 m/s at an elevation...Problem 36CP:
What does the coefficient of volume expansion of a fluid represent? How does it differ from the...Problem 38CP:
Can the coefficient of compressibility of a fluid be negative? How about the coefficient of volume...Problem 39P:
Use the coefficient of volume expansion to estimate the density of water as it is heated from 60F to...Problem 40P:
The volume of an ideal gas is to be reduced by half by compressing isothermally. Determine the...Problem 41P:
Water at 1 atm pressure is compressed to 400 atm pressure isothermally. Determine the increase in...Problem 43P:
Saturated refrigerant-134a liquid at 10C is cooled to 0C at constant pressure. Using coefficient of...Problem 46P:
The density of seawater at a free surface where the pressure is 98 kPa is approximately 1030 kg/m3....Problem 48P:
A frictionless piston-cylinder device contains 10 kg of water at 20C at atmospheric pressure. An...Problem 49P:
Reconsider Prob. 2-48. Assuming a bear pressure increase during the compression, estimate the energy...Problem 54CP:
In which medium will sound travel fastest for a given temperature: air, helium, or argon?Problem 58CP:
Is then sonic ve1ocity a specified medium a fixed quantity, or does it change as the properties of...Problem 60P:
Carbon dioxide enters an adiabatic nozzle at 1200 K with a velocity of 50 m/s sand leaves at 400 K....Problem 62P:
Assuming ideal gas behavior, determine the speed of sound in refrigerant-133a at 0.8 MPa and 70°C.Problem 64EP:
Steam flows through a device with a pressure of 120 psia, a temperature of 700°F, and a velocity of...Problem 66P:
Air expands isentropically from 2.2 MPa 77C to 0.4 MPa. Calculate the ratio of the initial to the...Problem 67P:
Repeat Prob. 2-66 for helium gas.Problem 68P:
The Airbus A-340 passenger plane has a maximum takeoff weight of about 260,000 kg, a length of 64 m,...Problem 70CP:
What is viscosity? What is the cause of it is liquids and in gases? Do liquids or gases have higher...Problem 73EP:
The viscosity of a fluid is to be measured by a viscometer constructed of two 5-ft-long concentric...Problem 74P:
The dynamic viscosity of carbon dioxide at 50°C and 200°Care 1.612105Pas and 2.276105Pas ,...Problem 75P:
Consider the flow of a fluid with viscosity through a circular pipe. The velocity profile in the...Problem 76P:
The viscosity of a fluid is to be measured by a viscometer constricted of two 75-cm-long concentric...Problem 77P:
A thin 30cm30cm flat plate is pulled at 3 m/s horizontally through a 3.6-mm-thick oil layer...Problem 78P:
A rotating viscometer consists of two concentric cylinders-an inner cylinder of radius Ri rotating...Problem 82P:
For flow over a plate, the variation of velocity with vertical distance y from the plate is given...Problem 83P:
In regions far from the entrance, fluid flow through a circular pipe is one dimensional, and the...Problem 84P:
Repeat Prob. 2-83 for umax=6m/s .Problem 85P:
A frustum-shaped body is rotating at a constant angular speed of 200 rad/s in a container filled...Problem 86P:
A rotating viscometer consists of two concentric cylinders-a stationary inner cylinder of radius Ri...Problem 87P:
A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity...Problem 89P:
A cylinder of mass m slides down from rest in a vertical tube whose inner surface is covered by a...Problem 90CP:
What is surface tension” What is its cause? Why is the surface tension also called surface energy?Problem 91CP:
What is the capillary effect? What is its cause? How is it affected by the contact angle?Problem 95P:
Determine the gage pressure inside a soap bubble of diameter (a) 0.2 cm and (b) 5 cm at 20°C.Problem 96EP:
A2.4-in-diameter soap bubble is to be enlarged by blowing air into it. Taking the surface tension of...Problem 98P:
Consider a 0.15-mm diameter air bubble a liquid. Determine the pressure difference between the...Problem 100P:
A capillary tube of 1.2 mm diameter is immersed vertically in water exposed to the atmosphere....Problem 103P:
Contrary to what you might expect, a solid steel ball can float on water due to the surface tension...Problem 104P:
Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partly because of...Problem 105P:
Consider a 55-cm-long journal bearing that is lubricated with oil whose viscosity is 0.1kg/ms at 20C...Problem 108P:
A 10-m3 tank contacts nitrogen at 25C and 800kPa. Some nitrogen is allowed to escape until the...Problem 109P:
The absolute pressure of an automobile tire is measured to be 320 kPa before a trip and 335 kPa...Problem 110EP:
The analysis of a propeller that operates in water at 60F shows that the pressure at the tips of the...Problem 111P:
A closed tank is partially filled with water at 70C. If the air above the water is completely...Problem 113P:
A rigid tank contains an ideal gas at 300kPa and 600K. Half of the gas is withdrawn from the tank...Problem 114P:
The composition of a liquid with suspended solid particles is generally characterized by the...Problem 116P:
A newly produced pipe with diameter of 3m and length 15m is to be tested at 10MPa using water at...Problem 118P:
Although liquids, in general, are hard to compress, the compressibility effect (variation in the...Problem 119EP:
Air expands isentropically from 200psia and 240F to 60psia. Calculate the ratio of the initial to...Problem 121P:
Reconsider Prob. 2-120. The shaft now rotates with a constant angular speed of n=1450rpm in a...Problem 122P:
Derive a relation for the capillary rise eta liquid between two large parallel plates a distance t...Problem 123P:
A 10-cm diameter cylindrical shaft rotates inside a 50-cm-long10.3-cm diameter bearing. The space...Problem 124P:
A large plate is pulled at a constant spend of U=4m/s over a fixed plate on 5-mm-thick engine oil...Problem 125P:
Some rocks or bricks contain small air pockets in them and have a spongy structure. Assuming the air...Problem 126P:
A fluid between two very long parallel plates is heated in a way that its viscosity decreases...Problem 127P:
The rotating parts of a hydroelectric power plant having power capacity W have a rotational...Problem 128P:
The viscosity of some fluids changes when a strong electric ?eld is applied on them. This phenomenon...Problem 132P:
Oil of viscosity =0.0357Pas and density =0.796kg/m3 is sandwiched in the small gap between two very...Problem 138P:
Liquid water vaporizes into water vaper as it ?aws in the piping of a boiler. 1f the temperature of...Problem 139P:
In a water distribution system, the pressure of water can be as low as 1.4psia. The maximum...Problem 140P:
The pressure of water is increased from 100kPa to 900kPa by a pump. The temperature of water also...Problem 141P:
An ideal gas is compressed isothermally from 100kPa to 170kPa. The percent increase in the density...Problem 142P:
The variation of the density of a fluid with temperature at constant pressure is represented by (a)...Problem 144P:
The viscosity of liquids and the viscosity of gases with temperature. (a) Increases, increases (b)...Problem 148P:
The dynamic viscosity of air at 20C and 200kPa is 1.8310-5kg/ms. The kinematic viscosity of air at...Problem 149P:
A viscometer constructed of two 30-cm -long concentric cylinders is used to measure the Viscosity of...Browse All Chapters of This Textbook
Chapter 1 - Introduction And Basic ConceptsChapter 2 - Properties Of FluidsChapter 3 - Pressure And Fluid StaticsChapter 4 - Fluid KinematicsChapter 5 - Bernoulli And Energy EquationsChapter 6 - Momentum Analysis Of Flow SystemsChapter 7 - Dimensional Analysis And ModelingChapter 8 - Internal FlowChapter 9 - Differential Analysis Of Fluid FlowChapter 10 - Approximate Solutions Of The Navier–stokes Equation
Sample Solutions for this Textbook
We offer sample solutions for Fluid Mechanics: Fundamentals and Applications homework problems. See examples below:
Chapter 1, Problem 1CPChapter 1, Problem 23PChapter 1, Problem 31PChapter 1, Problem 55PChapter 1, Problem 71PChapter 2, Problem 1CPChapter 2, Problem 19PChapter 2, Problem 39PChapter 2, Problem 49P
Given information: The pressure of the air is 95 kPa, the initial temperature is 20°C, the final...Chapter 2, Problem 77PChapter 2, Problem 85PChapter 2, Problem 87PGiven information: The diameter of glass tube is 0.018 in, the contact angle with the glass is 140°,...Chapter 2, Problem 118PChapter 2, Problem 123PChapter 2, Problem 127PChapter 2, Problem 128PGiven: The shear stress used for the Herschel-Bulkley constitute model is τ=τν+K( du dy)m, Yield...Chapter 2, Problem 132PChapter 3, Problem 1CPChapter 3, Problem 26PChapter 3, Problem 48PChapter 3, Problem 49PChapter 3, Problem 51PChapter 3, Problem 55PChapter 3, Problem 67PChapter 3, Problem 72PChapter 3, Problem 78PChapter 3, Problem 79EPChapter 3, Problem 80PChapter 3, Problem 81PChapter 3, Problem 85PChapter 3, Problem 86PChapter 3, Problem 87PChapter 3, Problem 90PChapter 3, Problem 135PThe radius of the semi-circular gate is 0.5 m, specific gravity of fluid in section 1 is 0.91,...Chapter 3, Problem 146PChapter 4, Problem 1CPChapter 4, Problem 23PGiven information: The flow is symmetric about x axis. Write the expression for the two-dimensional...Given information: The fluid particle is located on the centre line. Write the expression for the...Chapter 4, Problem 58PChapter 4, Problem 66PThe shear strain rate is half of the rate of decrease of the angle between two perpendicular lines...The vector field of flow is V⇀=k(x2−y2)i⇀−2kxyj⇀ and the radius of curvature of streamline is R=[1+...Chapter 4, Problem 98PChapter 4, Problem 101PWrite the expression for the two dimensional Poiseuille flow. u=12μdPdx(y2−hy). Here, the distance...Given information: The velocity component along the x direction is...Chapter 4, Problem 120PChapter 4, Problem 121PChapter 5, Problem 1CPChapter 5, Problem 53PChapter 5, Problem 55PChapter 5, Problem 57EPChapter 5, Problem 62PChapter 5, Problem 80PChapter 5, Problem 84PChapter 5, Problem 88PChapter 5, Problem 89PChapter 5, Problem 98PChapter 5, Problem 109PChapter 5, Problem 114PChapter 5, Problem 115PChapter 5, Problem 116PChapter 5, Problem 136PChapter 6, Problem 1CPChapter 6, Problem 23PGiven information: The volume flow rate of the water is 35 L/s, the discharge area for the smaller...Chapter 6, Problem 57PChapter 6, Problem 67PChapter 6, Problem 69PChapter 6, Problem 70PChapter 6, Problem 77PChapter 6, Problem 78PChapter 6, Problem 89PGiven information: The length of the slit is 1.2 m, width of the rectangular slit is 5 mm, water...Chapter 6, Problem 96PChapter 7, Problem 1CPGiven information: The shaft power is W˙, the angular velocity is ω, the fluid density is ρ, the...Chapter 7, Problem 53PChapter 7, Problem 62PChapter 7, Problem 67PThe angular velocity is ω, the fluid density is ρ, the acceleration due to gravity id g, the radius...Chapter 7, Problem 74PGiven information: force pressure gradient =dPdxFlow : steady+ incomprssible down stream distance...In M-L-T system, force = mass×accelerationF = m × a{F} = {mass × meter sec 2}{F} = {M × L t 2}{F} =...Given Information: Top plate speed, Vtop Bottom plate speed, Vbottom Steady flow, incompressible, 2...Chapter 7, Problem 112PChapter 7, Problem 113PChapter 7, Problem 118PGiven information: The following figure shows that two parallel flat plates. Figure-( 1) Assume, at...Chapter 8, Problem 1CPChapter 8, Problem 61PChapter 8, Problem 73PGiven information: The temperature of the water is 70 °F, density of the water is 62.3 lbm/ft3,...Given information: The air discharge rate is 1.2 ft3/s, diameter of the vent is 5 in, length of the...Given information: The temperature of oil is 20°C, the height of cylindrical reservoir is 20 cm, the...Given information: The temperature of the water is 110°C, density of the water is 950.6 kg/m3,...Chapter 8, Problem 94PChapter 8, Problem 96PGiven Information: The diameter of the pipe is 6 cm, the length of the pipe is 33 m, the inlet...Chapter 8, Problem 136PChapter 8, Problem 137PGiven information: The diameter of the cast iron pipe is 0.35 m and the length of the cast iron pipe...Given information: The diameter of tank 1 is 30 cm, diameter of tank 2 is 12 cm, diameter of orifice...Chapter 8, Problem 153PGiven information: The swimming pool diameter is 10 m, the swimming pool height is 2 m, the...Chapter 8, Problem 159PThe following figure represents the branched pipes. Figure-(1) Write the expression for the area of...Chapter 9, Problem 1CPChapter 9, Problem 16PGiven information: The incompressible flow filed for which the velocity u component is u=ax2−bxy,...Given information: The velocity component in θ direction is equal to 0. Write the expression for...Given information: The diameter at the entrance of the nozzle is 0.50 in, the diameter at exit of...Chapter 9, Problem 87PChapter 9, Problem 93PGiven information: The flow is steady, laminar, two-dimensional and incompressible. The flow is...Chapter 9, Problem 101PChapter 9, Problem 102PChapter 9, Problem 103PGiven information: The assumptions made are stated below: The flow is parallel, steady, and laminar....Chapter 9, Problem 123PChapter 10, Problem 1CPGiven information: Actual stokes law is FD=3πμDV+(9π/16)ρV2D2. Three aluminum balls of diameters 2...First, we need to use continuity equation for velocity component. From continuity equation, We have,...Chapter 10, Problem 29PGiven: h0=sleeper pad=11000h1=final height of sleeper=12000 lenght=1.0 Concept Used: Convergence of...Chapter 10, Problem 62PChapter 10, Problem 69PChapter 10, Problem 90PChapter 10, Problem 91PChapter 10, Problem 97PChapter 10, Problem 108PChapter 10, Problem 110PChapter 10, Problem 113PGiven information: The density of air is 0.8588 kg/m3, the temperature of air is −50°C the pressure...Chapter 11, Problem 1CPChapter 11, Problem 41EPChapter 11, Problem 43PChapter 11, Problem 48PChapter 11, Problem 68PChapter 11, Problem 88PChapter 11, Problem 96PChapter 11, Problem 101EPGiven information: Length=3 m Diameter=0.5 m Atmospheric pressure=87 kPa Temperature=20∘C=295 K...Given information: Mass of tractor=17,000 kg Frontal area=9.2 m2 Rolling resistance coefficient=0.05...Given information: Diameter=2 mm ρs=2600 kgm3ρf=1274 kgm3 Vexperimental=3.2 mms μ=1 kgm⋅s Concept...Given information: The diameter of the first aluminum ball is 2 mm, the diameter of the second...Given information: The diameter of the ball is 2 mm, the density of the ball is 2700 kg/m3, the...Chapter 12, Problem 1CPGiven: Air pressure, air temperature and Mach number are 14 psia, 40°F and 2 respectively. Flow...Given: The upstream the shock is given by, Pressure of air P1=58kPa Temperature of air T1=270K Mach...Given: The properties of air are: k = 1.4R = 0.287 kJ/kg·K,cp = 1.005 kJ/kg·K The properties of...Chapter 12, Problem 102PGiven: Temperature T1 = 480R Velocity V1=100 m/s Pressure P1=8 psia Mach number Ma1=2.0 Force...Chapter 12, Problem 126EPGiven: Ambient temperature at inlet T1= 500 K Stagnation Pressure P01=P1=220 psia Exit pressure P2 =...Given: The properties of air: R =0.280 kJ/kg.K cp=1.005 kJ/kg.K k=1.33 Inlet Temperature T1=510K...Given: Mach number k=1.2,1.4 and 1.6 range of 0≤Ma≤1. Calculation: Equation is given by m. R T 0...Chapter 13, Problem 1CPGiven Information: The water flow rate is 10 m3/s and the bottom slope is 0.0015 Write the...Given Information: The figure below represents the cross -section of three channels. Figure-(1) The...Given Information: The figure below shows the cross -section of the channel. Figure-(1) The bottom...Chapter 13, Problem 61PChapter 13, Problem 85PGiven information: Velocity of water flow is 10 m/s, the flow depth is 0.65 m, the bump height is 30...Given Information: The flow depth of upstream weir is 5 ft and the height of the gate opening is 1.1...Given information: The flow depth before the jump is 0.7 m, the flow depth after the jump is 5 m,...Given information: The channel angle is 0.5°. Write the expression for flow rate using manning's...Chapter 13, Problem 140PGiven information: Water is flowing through a sluice gate, the velocity of water before reaching the...Chapter 13, Problem 143PChapter 13, Problem 144PGiven information: The height of bump is 20 cm, initial velocity of flow is 1.25 m/s, the flow depth...Chapter 13, Problem 167PChapter 14, Problem 1CPChapter 14, Problem 35EPChapter 14, Problem 36EPChapter 14, Problem 41PChapter 14, Problem 47EPChapter 14, Problem 55EPChapter 14, Problem 56EPChapter 14, Problem 57EPChapter 14, Problem 61PChapter 14, Problem 62PGiven information: The number of rotations of centrifugal pump is 750 rpm. The inlet radius is 12 cm...Given information: The number of rotations of centrifugal pump is 750 rpm. The inlet radius is 12 cm...Given information: The diameter of the turbine A is 1.50 mand the number of rotation for the turbine...Chapter 14, Problem 123PChapter 15, Problem 1CP
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