Solutions for FLUID MECHANICS FUND. (LL)-W/ACCESS
Problem 1CP:
Does the amount of mass entering a control volume have to be equal to the amount of mass leaving...Problem 3CP:
Name four physical quantities that are conserved and two quantities that are not conserved during a...Problem 4CP:
When is the flow through a control volume steady?Problem 5CP:
Consider a device with one inlet and one outlet. If the volume flow rates at the inlet and at the...Problem 6P:
A hair dryer is basically a duct of constant diameter in which a few layers of electric resistors...Problem 7EP:
A garden hose attached with a nozzle is used to fill a 20-gal bucket. The inner diameter of the hose...Problem 8EP:
Air whose density is 0.082 Ibm/ft3 enters the duct of an air-conditioning system at a volume flow...Problem 9P:
A 0.7$-m3 rigid tank initially contains air whose density is 1.18 kg/m3. The tank is connected to a...Problem 10P:
Consider the flow of an incompressible Newtonian fluid between two parallel plates that are 4 mm...Problem 11P:
A desktop computer is to be cooled by a fan whose flow rate is 0.30 m3/min. Determine the mass flow...Problem 12P:
The minimum fresh air requirement of a residential building is specified to be 0.35 air changes per...Problem 13P:
The ventilating fan of the bathroom of a building (Fig: P5-13) has a volume flow rate of 50 L/s and...Problem 14P:
Air enters a nozzle steadily at 2.21 kg/m3 and 20 kg/m3 and leaves at 0.762 kg/m3 and 150 m/s. If...Problem 15P:
Air at 40°C flow steadily through the pipe shown in Fig. P5-15. If P1=40 kPa (gage), P2= 10 kPa...Problem 16P:
In climates with low night-time temperatures, an energy-efficient way of cooling a house is install...Problem 17CP:
What is mechanical energy? How does it differ from thermal energy? What are the forms of mechanical...Problem 18CP:
Define turbine efficiency, generator efficiency, and combined turbine-generator efficiency.Problem 19CP:
What is mechanical efficiency? What does a mechanical efficiency of 100 percent mean for a hydraulic...Problem 20CP:
How is the combined pump-motor efficiency of a pump and motor system defined? Can the combined...Problem 23EP:
A differential thermocouple with sensors at the inlet and exit of a pump indicates that the...Problem 24P:
Electric power is to be generated by installing a hydraulic turbine-generator at a site 110 in below...Problem 25P:
Consider a river flowing toward a lake at an average speed of 3 m/s at a rate of 500 m3/s at a...Problem 26CP:
Express the Bernoulli equation in three different ways using (a) energies. (b) pressures, and (c)...Problem 27CP:
What are the three major assumptions used in the derivation of the Bernoulli equation?Problem 28CP:
Define static, dynamic, and hydrostatic pressure. Under what conditions is their sum constant for a...Problem 29CP:
What is streamwise acceleration? How does it differ from normal acceleration? Can a fluid particle...Problem 31CP:
Define pressure head, velocity head, and elevation head for a fluid stream and express them for a...Problem 32CP:
How is the location of the hydraulic grade line determined for open-channel flow? How is it...Problem 34CP:
What is the hydraulic grade line? How does it differ from the energy grade line? Under what...Problem 35CP:
A glass manometer with oil as the working fluid is connected to an air duct as shown in Fig. PS-...Problem 36CP:
The velocity of a fluid flowing in a pipe is to be measured by two different Pilot-type mercury...Problem 37CP:
The water level of a tank on a building roof is 20 m above the ground. A hose leads from the tank...Problem 40P:
In a hydroelectric power plant, water enters the turbine nozzles at 800 kPa absolute with a low...Problem 41P:
A Pitot-static probe is used to measure the speed of an aircraft flying at 3000 in. If the...Problem 42P:
The air velocity in the duct of a heating system is to be measured by a Pitot-static probe inserted...Problem 43P:
A piezometer and a Pitot tube are tapped into a 4-cm-diameter horizontal water pipe. and the height...Problem 44P:
The diameter of a cylindrical water tank is D0and its height is H. The tank is filled with water,...Problem 45EP:
A siphon pumps water from a large reservoir to a lower tank that is initially empty. The tank also...Problem 46EP:
Water flows through a horizontal pipe at a rate of 2.4 gal/s. The pipe consists of two sections of...Problem 47P:
An airplane is flying at an altitude of 10.500 m. Determine the gage pressure at the stagnation...Problem 48P:
While traveling on a dirt road, the bottom of a car hits a sharp rock and a small hole develops at...Problem 49P:
The water in an 8-rn-diameter, 3-rn-high above-ground swimming pool is to be emptied by unplugging a...Problem 50P:
Reconsider Prob. 5-49. Determine how long it will take to empty the swimming pool completely.Problem 52P:
Air at 105 kPa and 37°C flows upward through a 6-cm-diameter inclined duct at a rate of 65 L/s. The...Problem 53P:
Water at 20°C is siphoned from a reservoir as shown in Fig. P5-53. For d = 8 cm and D = 16 cm,...Problem 54P:
The water pressure in the mains of a city at a particular location is 270 kPa gage. Determine if...Problem 55P:
A pressurized tank of water has a 10-cm-diameter orifice at the bottom, where water discharges to...Problem 57EP:
Air is flowing through a venturi meter whose diameter is 2.6 in at the entrance part (location 1)...Problem 58P:
The water level in a tank is 20 m above the ground. A hose is connected to the bottom of the tank,...Problem 59EP:
The air velocity in a duct is measured by a Pitot-static probe connected to a differential pressure...Problem 60P:
In cold climates, water pipes may freeze and burst if proper precautions are not taken. In such an...Problem 62P:
A fluid of density and viscosity flows through a section of horizontal converging-diverging duct....Problem 63P:
What is the minimum diameter at section (1) to avoid cavitation at that point? Take D2= 15 cm.Problem 66CP:
Consider the steady adiabatic flow of an incompressible fluid. Can the temperature of the fluid...Problem 67CP:
Consider the steady adiabatic flow of an incompressible fluid. If the temperature of the fluid...Problem 69CP:
The water level in a tank is 20 m above the ground. A hose is connected to the bottom of the tank,...Problem 70CP:
A 3-rn-high tank filled with water has a discharge valve near the bottom and another near the top....Problem 71CP:
A person is filling a knee-high bucket with water using a garden hose and holding it such that water...Problem 72P:
Tater is being pumped from a large lake to a reservoir 25 m above at a rate of 25 L/s by a 10-kW...Problem 74P:
A 15-hp (shaft) pump is used to raise water to a 35-rn higher elevation. If the mechanical...Problem 75P:
Water flows at a rate of 0.040 m3/s in a horizontal pipe whose diameter is reduced from 15 cm to 8...Problem 76P:
The water level in a tank is 20 m above the ground. A hose is connected to the bottom of the tank,...Problem 77P:
A hydraulic turbine has 50 m of head available at a flow rate of 1.30 m3/s, and its overall turbine-...Problem 78EP:
In a hydroelectric power plant, water flows from an elevation of 400 ft to a turbine, where electric...Problem 79EP:
Reconsider Prob. 5-78E. Determine the flow rate of water if the irreversible head loss of the piping...Problem 80P:
A fan is to be selected to ventilate a bathroom whose dimensions are 2m3m3 . The air velocity is not...Problem 81P:
Water flows at a rate of 20 L/s through a horizontal pipe whose diameter is constant at 3 cm. The...Problem 82EP:
The water level in a tank is 34 ft above the ground. A hose is connected to the bottom of the tank...Problem 83P:
A large tank is initially filled with water 4 m above the center of a sharp-edged 10-cm-diameter...Problem 84P:
Water enters a hydraulic turbine through a 30-cm-diameter pipe at a rate of 0.6 m3/s and exits...Problem 85EP:
A 78-percent efficient 12-hp pump is pumping water from a lake to a nearby pool at a rate of 1.2...Problem 86P:
Water is pumped from a lower reservoir to a higher reservoir by a pump that provides 23 kW of useful...Problem 87P:
Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the...Problem 88P:
Underground water is to be pumped by a 78 percent efficient 5-kW submerged pump to a pool whose free...Problem 89P:
Reconsider Prob. 5-88. Determine the flow rate of water and the pressure difference across the pump...Problem 90P:
The velocity profile for turbulent flow in a circular pipe is approximated as u(r)=umax(1r/R)1/n ,...Problem 91P:
The demand for electric power is usually much higher during the day than it is at night. and utility...Problem 93P:
Consider a fully filled hemisphere shaped tank with radius R. as shown in Fig. P5-93. If the water...Problem 94P:
The velocity of a liquid flowing in a circular pipe of radius R varies from zero at the wall to a...Problem 95P:
Air at 250 kgrn3 enters a nozzle that has an inlet-to-exit area ratio of 2:1 with a velocity of 120...Problem 96P:
The air in a 5m5-m3-m hospital room is to be completely replaced by conditioned air every 15 mm. If...Problem 97EP:
The water level in a tank is 70 ft above the round. A hose is connected to the bottom of the tank....Problem 98P:
A pressurized 2-rn-diameter tank of water has a 10-cm-diameter orifice at the bottom, where water...Problem 99P:
Underground water is being pumped into a pool whose cross section is 3 m 4 m while water is...Problem 101P:
A very large tank contains air at 102 kPa at a location where the atmospheric air is at 100 kPa and...Problem 102P:
Water is flowing through a Venturi meter whose diameter is 7 cm at the entrance part and 4 cm at the...Problem 103P:
Water flows at a rate of 0.011 m3/s in a horizontal pipe whose diameter increases from 6 to 11 cm by...Problem 104P:
Air flows through a pipe at a rate of 120 L/s. The pipe consists of two sections of diameters 22 cm...Problem 105P:
A 3-rn-high large tank is initially filled with water. The tank water surface is open to the...Problem 107P:
Reconsider Prob. 5-105. In order to dram the tank faster, a pump is installed near the tank exit....Problem 108P:
A D0= 1 2-rn-diameter tank is initially filled with water 2 m above the center of a D = 1 0-cm-...Problem 109P:
An oil pump is drawing 18 kW of electric power while pumping oil with p = 860 kg/m3 at a rate of 0.1...Problem 110P:
A wind tunnel draws atmospheric air at 20°C and 101.3 kPa by a 1are fan located near the exit of the...Problem 111P:
Consider a spherical tank containing compressed air. It is known from the elementary compressible...Problem 112P:
A tank with openings 1,2, and 3 is moving to left at a speed of 25 km/h. Knowing that D1= D2= 20 cm...Problem 113P:
Two dimensionally identical containers are connected to each other by a pipe with a diameter of 3...Problem 114P:
A circular thin plate is placed on the top of a tube. as shown in the figure. (a) Find the exit...Problem 115P:
A pump-storage plant uses a turbine to generate hydropower during the day. letting water from the...Problem 116P:
A diffuser in a pipe flow is basically a slow expansion of the pipe diameter, which slows down the...Problem 120P:
Air enters a steady-flow compressor at 1 atm and 25°C at a rate of 0.35 m3/s and leaves at a rate of...Problem 121P:
A 7$-m-high water body that is open to the atmosphere is available. The mechanical energy of this...Problem 124P:
A hydraulic turbine is used to generate power by using the water in a dam. The elevation difference...Problem 125P:
The efficiency of a hydraulic turbine-generator unit is specified to be 85 percent. If the generator...Problem 126P:
Which one is not an assumption involved with the Bernoulli equation? (a) No elevation change (b)...Problem 127P:
Consider incompressible, frictionless flow of a fluid in a horizontal piping. The pressure and...Problem 128P:
Consider incompressible, frictionless flow of water in a vertical piping. The pressure is 240 kPa at...Problem 129P:
Consider water flow in a piping network. The pressure,velocity, and elevation at a specified point...Problem 130P:
The static and stagnation pressures of a fluid in a pipe are measured by a piezometer and a pitot...Problem 131P:
The static and stagnation pressures of a fluid in a pipe are measured by a piezometer and a pitot...Problem 132P:
The difference between the heights of energy grade line (EGL) and hydraulic grade line (HGL) is...Problem 133P:
Water at 120 kPa (gage) is flowing in a horizontal pipe at a velocity of 1.15 m/s. The pipe makes a...Problem 134P:
Water is withdrawn a the bottom of a large tank open to the atmosphere. The water velocity is 9.5...Problem 135P:
Water at 80 kPa (gage) enters a horizontal pipe at a velocity of 1.7 m/s. The pipe makes a 90° angle...Problem 136P:
Liquid ethanol (p = 783 kg/m3) at a pressure of 230 kPa enters a 10-cm-diameter pipe at a rate of...Problem 137P:
Seawater is to be pumped into a large tank at a rate of 165 kg/mm. The tank is open to the...Problem 138P:
An adiabatic pump is used to increase the pressure of water from 100 kPa to 500 kPa at a rate of 400...Problem 139P:
The shaft power from a 90 percent-efficient turbine is 500 kW. If the mass flow rate through the...Problem 140P:
Using a 1are bucket whose volume is known and measuring the time it takes to fill the bucket wit))...Problem 141P:
Your company is setting up an experiment that involves the measurement of airflow rate in a duct,...Problem 142P:
Computer-aided designs, the use of better materials, and better manufacturing techniques have...Problem 143P:
Using a handheld bicycle pump to generate an air jet, a soda can as the water reservoir, and a straw...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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