Solutions for Fox And Mcdonald's Introduction To Fluid Mechanics
Problem 1P:
Consider incompressible flow in a circular channel. Derive general expressions for Reynolds number...Problem 2P:
What is the maximum flow rate of air that may occur at laminar condition in a 4-in.-diameter pipe at...Problem 3P:
For flow in circular tubes, transition to turbulence usually occurs around Re 2300. Investigate the...Problem 5P:
An incompressible fluid flows between two infinite stationary parallel plates. The velocity profile...Problem 6P:
Oil is confined in a 4-in.-diameter cylinder by a piston having a radial clearance of 0.001 in. and...Problem 7P:
Viscous oil flows steadily between parallel plates. The flow is fully developed and laminar. The...Problem 9P:
The velocity profile in a two-dimensional open channel may be approximated by the parabola shown....Problem 10P:
A large mass is supported by a piston of diameter D = 4 in: and length L = 4 in. The piston sits in...Problem 11P:
A hydraulic jack supports a load of 9000 kg. The following data are given: Estimate the rate of...Problem 12P:
The basic component of a pressure gage tester consists of a piston-cylinder apparatus as shown. The...Problem 13P:
When a horizontal laminar flow occurs between two parallel plates of infinite extent 0.3 m apart,...Problem 14P:
In a laminar flow of water of 0:007 m3/s between parallel plates spaced 75 mm apart, the measured...Problem 15P:
Consider the simple power-law model for a non-Newtonian fluid given by Eq. 2.16. Extend the analysis...Problem 16P:
A sealed journal bearing is formed from concentric cylinders. The inner and outer radii are 25 and...Problem 17P:
Using the profile of Problem 8.15, show that the flow rate for fully developed laminar flow of a...Problem 18P:
In a laminar flow between parallel plates spaced 12 in. apart, the shear stress at the wall is 1.0...Problem 19P:
A fluid of specific gravity 0.90 flows at a Reynolds number of 1500 between parallel plates spaced...Problem 20P:
Two immiscible fluids are contained between infinite parallel plates. The plates are separated by...Problem 21P:
The record-read head for a computer disk-drive memory storage system rides above the spinning disk...Problem 22P:
Consider steady, incompressible, and fully developed laminar flow of a viscous liquid down an...Problem 23P:
In a flow of air between parallel plates spaced 0.03 m apart, the centerline velocity is 1.2 m/s and...Problem 25P:
Consider fully developed flow between parallel plates with the upper plate moving at U = 5 ft/s. The...Problem 27P:
Free-surface waves begin to form on a laminar liquid film flowing down an inclined surface whenever...Problem 28P:
A viscous-shear pump is made from a stationary housing with a close-fitting rotating drum inside....Problem 29P:
The efficiency of the viscous-shear pump of Fig. P8.29 is given by =6q(12q)(46q) where q = Q/abR is...Problem 30P:
An inventor proposes to make a viscous timer by placing a weighted cylinder inside a slightly larger...Problem 31P:
A continuous belt, passing upward through a chemical bath at speed U0, picks up a liquid film of...Problem 32P:
A wet paint film of uniform thickness, , is painted on a vertical wall. The wet paint can be...Problem 34P:
Consider first water and then SAE 10W lubricating oil flowing at 40C in a 6-mm-diameter tube....Problem 35P:
Using Eq. A.3 in Appendix A for the viscosity of water, find the viscosity at 20C and 120C. Plot the...Problem 36P:
Consider fully developed laminar flow in the annulus between two concentric pipes. The outer pipe is...Problem 37P:
Carbon dioxide flows in a 50-mm-diameter pipe at a velocity of 1.5m/s, temperature 66C, and absolute...Problem 38P:
Consider fully developed laminar flow in a circular pipe. Use a cylindrical control volume as shown....Problem 39P:
What is the largest diameter of pipeline that may be used to carry 100 gpm of jet fuel (JP-4) at 59F...Problem 40P:
Consider fully developed laminar flow in the annular space formed by the two concentric cylinders...Problem 41P:
Consider fully developed pressure-driven flow in a cylindrical tube of radius, R, and length, L= 10...Problem 42P:
In the laminar flow of an oil of viscosity 1 Pa_s, the velocity at the center of a 0.3 m pipe is...Problem 43P:
In a laminar flow of 0.007 m3/s in a 75-mm-diameter pipeline the shearing stress at the pipe wall is...Problem 44P:
Consider blood flow in an artery. Blood is non-Newtonian; the shear stress versus shear rate is...Problem 45P:
The classic Poiseuille flow (Eq. 8.12), is for no-slip conditions at the walls. If the fluid is a...Problem 46P:
For pressure-driven, steady, fully developed laminar flow of an incompressible fluid through a...Problem 47P:
In a laminar flow in a 12-in.-diameter pipe the shear stress at the wall is 1.0 psf and the fluid...Problem 48P:
A fluid of specific gravity 0.90 flows at a Reynolds number of 1500 in a 0.3-m-diameter pipeline....Problem 49P:
In a food industry plant, two immiscible fluids are pumped through a tube such that fluid 1(1 = 0.5...Problem 50P:
A horizontal pipe carries fluid in fully developed turbulent flow. The static pressure difference...Problem 51P:
Kerosene is pumped through a smooth tube with inside diameter D = 30 mm at close to the critical...Problem 52P:
In a flow of water in a 0.3-m-diameter pipe, the centreline velocity is 6 m/s and that 50 mm from...Problem 53P:
A liquid drug, with the viscosity and density of water, is to be administered through a hypodermic...Problem 54P:
Laufer [5] measured the following data for mean velocity in fully developed turbulent pipe flow at...Problem 55P:
Equation 8.23 gives the power-law velocity profile exponent, n, as a function of centerline Reynolds...Problem 56P:
Consider fully developed laminar flow of water between stationary parallel plates. The maximum flow...Problem 57P:
Consider fully developed laminar flow in a circular tube. Evaluate the kinetic energy coefficient...Problem 59P:
If the turbulent velocity profile in a pipe 0.6 m in diameter may be approximated by = 3.56y1/7,...Problem 60P:
Water flows in a horizontal constant-area pipe; the pipe diameter is 75 mm and the average flow...Problem 61P:
For a given volume flow rate and piping system, will the pressure loss be greater for hot water or...Problem 62P:
Consider the pipe flow from the water tower of Example 8.7. To increase delivery, the pipe length is...Problem 63P:
At the inlet to a constant-diameter section of the Alaskan pipeline, the pressure is 8.5 MPa and the...Problem 64P:
When oil (kinematic viscosity 1 104 m2/s, specific gravity 0.92) flows at a mean velocity of 1.5m/s...Problem 65P:
When fluid of specific weight 50 lb/ft3 flows in a 6-in.-diameter pipeline, the frictional stress...Problem 66P:
If the head lost in 30-m-diameter of 75-mm-diameter pipe is 7.6 m for a given flow rate of water,...Problem 67P:
Water flows at 10 L/min through a horizontal 15-mmdiameter tube. The pressure drop along a 20-m...Problem 68P:
Laufer [5] measured the following data for mean velocity near the wall in fully developed turbulent...Problem 69P:
Water is pumped at the rate of 0.075 m3/s from a reservoir 20 m above a pump to a free discharge 35...Problem 70P:
Just downstream from the nozzle tip the velocity distribution is as shown. Calculate the flow rate...Problem 71P:
A horizontal nozzle having a cylindrical tip of 75 mm diameter attached to a 150-mm-diameter water...Problem 72P:
When 0.3 m3/s of water flows through a 150-mm-diameter constriction in a 300-mm-diameter horizontal...Problem 75P:
Water flows through a 2-in.-diameter tube that suddenly contracts to 1 in. diameter. The pressure...Problem 76P:
A 50-mm-diameter nozzle terminates a vertical 150-mmdiameter pipeline in which water flows downward....Problem 77P:
A 12-in.-diameter pipe leaves a reservoir of surface elevation 300 at elevation 250 and drops to...Problem 78P:
A water pipe gradually changes from 6-in.-diameter to 8-in.-diameter accompanied by an increase of...Problem 79P:
Air at standard conditions flows through a sudden expansion in a circular duct. The upstream and...Problem 80P:
Water flows from a larger pipe, diameter D1 = 100 mm, into a smaller one, diameter D2 = 50 mm, by...Problem 81P:
Flow through a sudden contraction is shown. The minimum flow area at the vena contracta is given in...Problem 82P:
A flow rate of 1.01/min of oil of specific gravity 0.92 exists in this pipeline. Is this flow...Problem 83P:
Water flows in a smooth pipeline at a Reynolds number of 106. After many years of use, it is...Problem 84P:
Air flows out of a clean room test chamber through a 150-mmdiameter duct of length L. The original...Problem 85P:
A conical diffuser is used to expand a pipe flow from a diameter of 100 mm to a diameter of 150 mm....Problem 86P:
By applying the basic equations to a control volume starting at the expansion and ending downstream,...Problem 87P:
Water at 45C enters a shower head through a circular tube with 15.8 mm inside diameter. The water...Problem 88P:
Water discharges to atmosphere from a large reservoir through a moderately rounded horizontal nozzle...Problem 90P:
A laboratory experiment is set up to measure pressure drop for flow of water through a smooth tube....Problem 93P:
Oil with kinematic viscosity = 7.5 104 ft2/s flows at 45 gpm in a 100-ft-long horizontal...Problem 94P:
Water from a pump flows through a 9-in.-diameter commercial steel pipe for a distance of 4 miles...Problem 95P:
A 5-cm-diameter potable water line is to be run through a maintenance room in a commercial building....Problem 96P:
A system for testing variable-output pumps consists of the pump, four standard elbows, and an open...Problem 97P:
Two reservoirs are connected by three clean cast-iron pipes in series, L1 = 600 m, D1 = 0.3 m, L2 =...Problem 98P:
Water, at volume flow rate Q = 0.75 ft3/s, is delivered by a fire hose and nozzle assembly. The hose...Problem 100P:
When you drink a beverage with a straw, you need to overcome both gravity and friction in the straw....Problem 101P:
What flow rate (gpm) will be produced in a 75-mm-diameter water pipe for which there is a pressure...Problem 103P:
Gasoline flows in a long, underground pipeline at a constant temperature of 15C. Two pumping...Problem 104P:
An 18-in.-diameter new riveted steel pipeline 1000 ft long runs from an elevation of 150 ft to an...Problem 105P:
What diameter of smooth masonry pipe is needed to carry 50 cfs between two reservoirs of surface...Problem 107P:
Water flows steadily in a 125-mm-diameter cast-iron pipe 150 m long. The pressure drop between...Problem 108P:
Two galvanized iron pipes of diameter D are connected to a large water reservoir, as shown. Pipe A...Problem 109P:
A mining engineer plans to do hydraulic mining with a high-speed jet of water. A lake is located H =...Problem 110P:
The flow of water through a 150-mm-diameter horizontal pipe that enlarges abruptly to 300 mm...Problem 111P:
The fluid flowing has specific gravity 0.90; V75=6 m/s; R = 105. Calculate the gage reading. P8.111Problem 112P:
Water is flowing. Calculate the direction and magnitude of the manometer reading. P8.112Problem 113P:
Investigate the effect of tube roughness on flow rate by computing the flow generated by a pressure...Problem 114P:
Investigate the effect of tube length on water flow rate by computing the flow generated by a...Problem 115P:
For the pipe flow into a reservoir of Example 8.5 consider the effect of pipe roughness on flow...Problem 116P:
Calculate the magnitude and direction of the manometer reading. Water is flowing. P8.116Problem 117P:
Experimental determination of local losses and loss coefficients are made from measurements of the...Problem 118P:
Water is flowing. Calculate the gage reading when the velocity in the 12-in.-diameter pipe is 8...Problem 119P:
The siphon shown is fabricated from 50-mm-i.d. drawn aluminum tubing. The liquid is water at 15C....Problem 120P:
A large open water tank has a horizontal cast iron drainpipe of diameter D = 1 in. and length L = 2...Problem 121P:
A tank containing 30 m3 of kerosene is to be emptied by a gravity feed using a drain hose of...Problem 122P:
A 90 screwed elbow is installed in a 2-in.-diameter pipeline having a friction factor of 0.03. The...Problem 123P:
Calculate the total tension in the bolts. Neglect entrance loss. The pipe is 30 m long, the diameter...Problem 124P:
A horizontal 50-mm-diameter PVC pipeline leaves (square- edged entrance) a water tank 3 m below its...Problem 125P:
You are watering your lawn with an old hose. Because lime deposits have built up over the years, the...Problem 126P:
Your boss claims that for pipe flow the flow rate, Qp, where p; is the pressure difference driving...Problem 127P:
A hydraulic press is powered by a remote high-pressure pump. The gage pressure at the pump outlet is...Problem 128P:
One-quarter of a cubic meter per second of liquid at 20C is to be carried between two tanks having a...Problem 129P:
Calculate the flow rate from this water tank if the 6 in. pipeline has a friction factor of 0.020...Problem 130P:
A 6-ft-diameter pipeline 4 miles long between two reservoirs of surface elevations 500 and 300 ft...Problem 132P:
A new industrial plant requires a water flow rate of 5.7 m3/min. The gage pressure in the water...Problem 133P:
What diameter water pipe is required to handle 0.075 m3/s and a 500 kPa pressure drop? The pipe...Problem 134P:
A pipe friction experiment for air consists of a smooth brass tube with 63.5 mm inside diameter; the...Problem 135P:
Oil has been flowing from a large tank on a hill to a tanker at the wharf. The compartment in the...Problem 136P:
The pressure rise across a water pump is 35 psi when the volume flow rate is 500 gpm. If the pump...Problem 137P:
Cooling water is pumped from a reservoir to rock drills on a construction job using the pipe system...Problem 138P:
You are asked to size a pump for installation in the water supply system of the Willis Tower...Problem 139P:
Heavy crude oil (SG = 0.925 and = 1.0 104 m2/s) is pumped through a pipeline laid on flat ground....Problem 140P:
Petroleum products are transported over long distances by pipelines such as the Alaskan pipeline...Problem 142P:
The head versus capacity curve for a certain fan may be approximated by the equation H = 30 107 Q2,...Problem 143P:
A swimming pool has a partial-flow filtration system. Water at 75F is pumped from the pool through...Problem 144P:
Water at 65C flows through a 75-mm-diameter orifice installed in a 150-mm-ID pipe. The flow rate is...Problem 146P:
A 12 in. 6 in. Venturi meter is installed in a horizontal waterline. The pressure gages read 30 and...Problem 147P:
A 1-in.-diameter nozzle is attached to a 3-in.-diameter hose. What flow rate of water will occur...Problem 148P:
A sharp-edged orifice with conventional pressure connections and an orifice coefficient of K = 0.6...Problem 149P:
A venturi meter with a 3-in.-diameter throat is placed in a 6-in.-diameter line carrying water at...Problem 150P:
Air flows through a venturi meter with a 3-in.-diameter throat placed in a 6-in.-diameter line....Problem 151P:
Water at 10C flows steadily through a venturi. The pressure upstream from the throat is 200 kPa...Browse All Chapters of This Textbook
Chapter 1 - IntroductionChapter 2 - Fundamental ConceptsChapter 3 - Fluid StaticsChapter 4 - Basic Equations In Integral Form For A Control VolumeChapter 5 - Introduction To Differential Analysis Of Fluid MotionChapter 6 - Incompressible Inviscid FlowChapter 7 - Dimensional Analysis And SimilitudeChapter 8 - Internal Incompressible Viscous FlowChapter 9 - External Incompressible Viscous FlowChapter 10 - Fluid Machinery
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Me 380 - Fluyd Dynamics For Mechanical Engineers
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Fox And Mcdonald's Introduction To Fluid Mechanics
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Fox and McDonald's Introduction to Fluid Mechanics
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