FLUID MECHANICS FUND. (LL)-W/ACCESS4th EditionCENGEL Publisher: MCG CUSTOMISBN: 9781266016042
FLUID MECHANICS FUND. (LL)-W/ACCESS
Solutions for FLUID MECHANICS FUND. (LL)-W/ACCESS
Problem 1CP:
How is the hydrodynamic entry length defined for flow in a pipe? Is the entry length longer in...Problem 3CP:
What is the physical significance of the Reynolds number? How is it defined for (a) flow in a...Problem 4CP:
Consider a person walking first in air and then in water at the same speed. For which motion will...Problem 5CP:
Show that the Reynolds number for flow in a circular pipe of diameter D can be expressed as...Problem 6CP:
Which fluid at room temperature requires a larger pump to flow at a specified velocity in a given...Problem 7CP:
What is the eneia1Iy accepted value of the Reynolds number above which the flow in smooth pipes is...Problem 8CP:
Consider the flow of air and wale in pipes of the same diameter, at the same temperature, and at the...Problem 9CP:
Consider laminar flow in a circular pipe. Is the wall shear stress w higher near the inlet of the...Problem 10CP:
How does surface roughness affect the pressure drop in a pipe if the flow is turbulent? What would...Problem 11CP:
What is hydraulic diameter? How is it defined? What is it equal to for a circular pipe of diameter...Problem 12EP:
Shown here is a cool picture of water being released at 300,000 gallons per second in the spring of...Problem 13CP:
What fluid property is responsible for the development of the velocity boundary layer? For what kind...Problem 14CP:
In the fully developed region of flow in a circular pipe, does lite velocity profile change in the...Problem 15CP:
Someone claims that the volume flow rate in a circular pipe with laminar flow can be determined by...Problem 16CP:
Someone claims that the average velocity in a circular pipe in fully developed laminar flow can be...Problem 17CP:
Someone claims that the shear stress at the center of a circular pipe during full developed laminar...Problem 18CP:
Someone claims that in fully developed turbulent flow in a pipe, the shear stress is a maximum at...Problem 19CP:
How does the wall shear stress w , vary along the flow direction in the fully developed legion in...Problem 20CP:
How is the friction factor for flow in a pipe related to the pressure loss? How is the pressure loss...Problem 22CP:
Consider fully developed flow in a circular pipe with negligible entrance effects. If the length of...Problem 23CP:
Consider fully developed laminar how in a circular, pipe. If the diameter of the pipe is reduced by...Problem 24CP:
Explain why the friction factor is independent of the Reynolds number at very large Reynolds...Problem 25CP:
Consider laminar flow of air in a circular pipe with perfectly smooth surfaces. Do you think the...Problem 26CP:
Consider fully developed laminar flow in a circular pipe. If the viscosity of the fluid is reduced...Problem 27CP:
How is head loss related to pressure loss? For a given fluid, explain how you would convert head...Problem 28CP:
What is turbulent viscosity? What caused it?Problem 29CP:
What is the physical mechanism that causes the friction factor to be higher in turbulent flow?Problem 30CP:
The head toss for a certain circular pipe is given by hL=0.0826fL(V2/D5) , where f is the friction...Problem 31P:
The velocity profile for the fully developed laminar flow of a Newtonian fluid between two large...Problem 32P:
Water at 15°C (p = 999.1 kg/m3 and = 1.138 × 10-3 kg/m.s) is flowing steadily in a 30-m-long and...Problem 33EP:
Water at 70F passes through 0.75-in-internal-diameter copper tubes at a rate of 0.5 lbm/s. Determine...Problem 34EP:
Heated air at 1 atm and 100F is to be transported in a 400-ft-long circular plastic duct at a rate...Problem 35P:
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the wall...Problem 36P:
The velocity profile in fully developed laminar flow in a circular pipe of inner radius R = 2 cm, in...Problem 37P:
Repeat Prob. 8-36 for a pipe of inner radius 7 cm.Problem 38P:
Water at 10C (p = 999.7 kg/m3 and = 1.307 × kg/m.s) is following steadily in a 0.12-cm-diameter,...Problem 39P:
Consider laminar flow of a fluid through a square channel with smooth surfaces. Now the average...Problem 40P:
Repeat Prob. 8-39 for tribulent flow in smooth pipes for which the friction factor is given as f =...Problem 41P:
Air enters a 10-m-long section of a rectangular duct of cross section 15 cm × 20 cm made of...Problem 42P:
Consider an air solar collector that is 1 m wide and 4 m long and has a constant spacing of 3 cm...Problem 43P:
Oil with p = 876 kg/m3 and = 0.24 kg/m.s is flowing through a 1.5-cm-diameter pipe that discharges...Problem 44P:
Glycenii at 40 C with p = l22 kg/m3 and = 0.27 kg/m.s is flowing through a 3-cm-diameter, 25-m-bug...Problem 45EP:
Air at 1 atm and 60 F is flowing through a 1 ft × ft square duct made of commercial steel at a rate...Problem 46P:
Oil with a density of 850 kg/m3 and kinematic viscosity of 0.00062 m2/s is being discharged by a...Problem 47P:
In an air heating system, heated air at 40 C and 105 kPa absolute is distributed through a 0.2 m ×...Problem 48P:
Glycerin at 40 C with p = 1252 kg/m3 and = 0.27 kg/m.s is flowing through a 6-cm-diameter...Problem 50P:
Liquid ammonia at 20 C is flowing through a 20-m-long section of a 5-mm-diameter copper tube at a...Problem 51P:
Consider the fully developed flow of glycerin at 40 C through a 70-m-long, 4-cm-diameter,...Problem 52P:
The velocity profile for a steady laminar flow in a circular pipe of radius R is given by u =...Problem 53P:
The generalized Bernoulli equation for unsteady flows can be expressed as P1pg+z1=v22g+1g12Vtds+hL...Problem 55CP:
Define equivalent length for minor loss in pipe flow. How is it related to the minor loss...Problem 56CP:
The effect of rounding of a pipe inlet on the loss coefficient is (a) negligible, (b) somewhat...Problem 57CP:
The effect of rounding of a pipe exit on the loss coefficient is (a) negligible, (b) somewhat...Problem 58CP:
Which has a greater minor loss coefficient during pipe flow; gradual expansion or gradual...Problem 59CP:
A piping system involves sharp turns, and thus large minor head losses. One way of reducing the head...Problem 60CP:
During a retrofitting project of a fluid flow system to reduce the pumping power, it is proposed to...Problem 61P:
A horizontal pipe has an abrupt expansion from D1=5 cm to D2=10 cm. The water velocity in the...Problem 62P:
Consider flow from a water reservoir through a circular hole of diameter D at the side wail at a...Problem 64P:
Water is to be withdrawn from an 8-m-high water reservior by drilling a 2.2-cm-diameter hole at the...Problem 65CP:
A piping system equipped with a pump is operating steadily. Explain how the operating point (the...Problem 66CP:
Water is pumped from a large lower reservoir to a higher reservoir. Someone claims that if the head...Problem 67CP:
For a piping system, define the system curve, the characteristic curve, and the operating point on a...Problem 69CP:
Consider two identical 2-m-high open tanks tilled with water on top of a 1-m-high table. The...Problem 70CP:
A piping system involves two pipes of different diameters (but of identical length, material, and...Problem 71CP:
A piping system involves two pipes of different diameters (but of identical length, material, and...Problem 72CP:
A piping system involves two pipes of identical diameters but of different lengths connected in...Problem 73P:
Water at 15 C is drained from a large reservoir using two horizontal plastic pipes connected in...Problem 75P:
The water needs of a small farm are to be met by pumping water from a well that can supply water...Problem 77P:
A 2.4-m-diameter tank is initially filled with water 4 m above the center of a sharp-edged...Problem 78P:
A 3-m-diameter tank is initially filled with water 2 m above the center of a sharp-edged...Problem 79P:
Reconsider Prob. 8-78. In order to drain the tank faster, a pump is installed near the tank exit as...Problem 80P:
Gasoline (p = 680 kg/m3 and v = 4.29 × 10-7 m2/s) is transported at a rate of 240 L/s for a distance...Problem 82P:
Oil at 20 C is flowing through a vertical glass funnel that consists of a 20-cm-high cylindrical...Problem 84P:
A 4-in-high cylindrical tank having a cross-sectional area of AT = 1.5 m2 is filled with equal...Problem 85EP:
A fanner is to pump water at 70 F from a river to a water storage tank nearby using a 125-ft-long....Problem 87P:
A water tank tilled with solar-heated vater at 4OC is io he usen for showers in a field using...Problem 88P:
Two water reservoirs A and B are connected to each other IhioLigh a 40-m-bug. 2-cm-diameter cast...Problem 91P:
A certain pail of cast iron piping of a water cliseribmioji system involves a parallel section. Both...Problem 92P:
Repeat Prob. 8-91 assuming pipe A has a halfway-closed gate valve (KL = 2.1) while pipe B has a...Problem 95P:
Water is transported by gravity through a 10-cm-diameter 550-m-long plastic pipe with an elevation...Problem 96P:
Water to a residential area is transported at a rate of 1.5 m3/s via 70-cm-internal-diameter...Problem 97P:
In large buildings, hot water in a water tank is circulated through a loop so that the user doesn’t...Problem 100P:
Two pipes of identical length and material are connected in parallel The diameter of pipe A is twice...Problem 101CP:
What are the primary considerations when selecting a flowmeter to measure the flow rate of a fluid?Problem 102CP:
What is the difference between laser Doppler velocinatery (LDV) and particle image velocimetry...Problem 105CP:
Explain how flow rate is measured with obstruction-type flowmeters. Compare orifice meters, flow...Problem 109P:
A 15-L kerosene tank (p = 820 kg/m3) is filled with a 2-cm-diameter hose equipped with a...Problem 117P:
A Venturi meter equipped with a differential pressure gage is used to measured the flow rate of...Problem 124P:
The flow rate of water at 20°C (p = 998 kg/m3 and = 1.002 × 10 kg/m•s) through a 4-cm-diameter pipe...Problem 128P:
The conical container with a thin horizontal tube attached at the bottom, shown in Fig. 8-128. is to...Problem 130P:
The compressed air requirements of a manufacturing facility are met by a 120-hp compressor that...Problem 131P:
A house built on a riverside is to be cooled iii summer by utilizing the cool water of the river. A...Problem 132P:
The velocity profile in fully developed lamina, flow in a circular pipe, in m/s, is given by u(r) =...Problem 134P:
Two pipes of identical diameter and material are connected in parallel. The length of pipe A is five...Problem 136P:
Shell-and-tube heat exchangers with hundred of tubes housed in a shell are commonly used in practice...Problem 137P:
Water at 15 C is to be dischaged froiti a reservoir at a rate of 18 L1s using two horizontal cast...Problem 139P:
Consider flow front a reservoir through a horizontal pipe of length L and diameter D that penetrates...Problem 140P:
A pipelme ihat Eransports oil ai 4OC at a iate of 3 inks branches out mio two parallel pipes made of...Problem 147P:
In a hydroelectric power plant. water at 20°C is supplied to the turbine at a rate of 0.55 m3/s...Problem 153P:
The water at 20 C in a l0-m-diameter, 2-m-high aboveground swimming pool is to be emptied by...Problem 157P:
Find the total volume flow rate leaving a tank through a slot having regular cross section a × b as...Problem 159P:
Water is siphoned from a reservoir open to the atmosphere by a pipe with diameter D. total length L....Problem 160P:
It is a well-known fact that Roman aqueduct customers obtained extra water by attaching a diffuser...Problem 162P:
In a piping system, what is used to control the flow rate? (a) Pipe (b) Valve (c) Fitting (d) Pump...Problem 166P:
Consider laminar flow of water in a OE8-cm-diameter pipe at a rate of 1.15 L min. The velocity of...Problem 167P:
Water at 10 C flows in a 1.2-cm-diameter pipe at a rate of 1.33 L/min. The hydrodynamic entry length...Problem 168P:
Engine oil at 20 C flows in a 15-cm-diamcter pipe al a late of 800 L/min. The friction factor for...Problem 170P:
Watet flows in a I 5-cm-diameter pipe a, a velocity of 1.8 ms. 1f the head loss along the pipe is...Problem 171P:
The pressure drop for a given flow is determined to be 100 Pa. For the same flow rate, if we reduce...Problem 173P:
Air at 1 atm and 25 C flows in a 4-cm-diameter glass pipe at a velocity of 7 m/s. The friction...Problem 174P:
Hot combustion 8ases approximated as air at I atm and 350 flow in a 16.cm-diaineter steel pipe at a...Problem 175P:
Air at 1 aim and 40 C flows in a 8-cm-diameter pipe at a rate of 2500 L/min. The friction factor is...Problem 178P:
The valve in a piping system cause a 3.1 in head loss. If the velocity of the flow is 4 m/s, the...Problem 179P:
A water flow system involves a 180 return bend (threaded) and a 90 miter bend (without vanes). The...Problem 180P:
Air flows in an 8-cm-diameter, 33-m-long pipe at a velocity of 5.5 mas. The piping system involves...Problem 181P:
Consider a pipe that branches out into two parallel pipes and then rejoins at a junction downstream....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 FUND. (LL)-W/ACCESS 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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