Fox And Mcdonald's Introduction To Fluid Mechanics
9th Edition
ISBN: 9781118921876
Author: Pritchard, Philip J.; Leylegian, John C.; Bhaskaran, Rajesh
Publisher: WILEY
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Chapter 8, Problem 111P
The fluid flowing has specific gravity 0.90; V75=6 m/s; R = 105. Calculate the gage reading.
P8.111
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(I) [40 Points] Using centered finite difference approximations as done in class, solve the equation for O:
d20
dx²
+ 0.010+ Q=0
subject to the boundary conditions shown in the stencil below. Do this for two values of Q: (a) Q = 0.3,
and (b) Q= √(0.5 + 2x)e-sinx (cos(5x)+x-0.5√1.006-x| + e −43*|1+.001+x* | * sin (1.5 − x) +
(cosx+0.001 + ex-1250+ sin (1-0.9x)|) * x - 4.68x4. For Case (a) (that is, Q = 0.3), use the stencil in Fig.
1. For Case (b), calculate with both the stencils in Fig. 1 and Fig 2. For all the three cases, show a table as
well as a plot of O versus x. Discuss your results. Use MATLAB and hand in the MATLAB codes.
1
0=0
x=0
2
3
4
0=1
x=1
Fig 1
1 2 3 4 5 6 7 8 9 10
11
0=0
x=0
0=1
x=1
Fig 2
Chapter 8 Solutions
Fox And Mcdonald's Introduction To Fluid Mechanics
Ch. 8 - Consider incompressible flow in a circular...Ch. 8 - What is the maximum flow rate of air that may...Ch. 8 - For flow in circular tubes, transition to...Ch. 8 - An incompressible fluid flows between two infinite...Ch. 8 - Oil is confined in a 4-in.-diameter cylinder by a...Ch. 8 - Viscous oil flows steadily between parallel...Ch. 8 - Calculate for the flow in this two-dimensional...Ch. 8 - The velocity profile in a two-dimensional open...Ch. 8 - A large mass is supported by a piston of diameter...Ch. 8 - A hydraulic jack supports a load of 9000 kg. The...
Ch. 8 - The basic component of a pressure gage tester...Ch. 8 - When a horizontal laminar flow occurs between two...Ch. 8 - In a laminar flow of water of 0:007 m3/s between...Ch. 8 - Consider the simple power-law model for a...Ch. 8 - A sealed journal bearing is formed from concentric...Ch. 8 - Using the profile of Problem 8.15, show that the...Ch. 8 - In a laminar flow between parallel plates spaced...Ch. 8 - A fluid of specific gravity 0.90 flows at a...Ch. 8 - Two immiscible fluids are contained between...Ch. 8 - The record-read head for a computer disk-drive...Ch. 8 - Consider steady, incompressible, and fully...Ch. 8 - In a flow of air between parallel plates spaced...Ch. 8 - Consider fully developed flow between parallel...Ch. 8 - Free-surface waves begin to form on a laminar...Ch. 8 - A viscous-shear pump is made from a stationary...Ch. 8 - The efficiency of the viscous-shear pump of Fig....Ch. 8 - An inventor proposes to make a viscous timer by...Ch. 8 - A continuous belt, passing upward through a...Ch. 8 - A wet paint film of uniform thickness, , is...Ch. 8 - Consider first water and then SAE 10W lubricating...Ch. 8 - Using Eq. A.3 in Appendix A for the viscosity of...Ch. 8 - Consider fully developed laminar flow in the...Ch. 8 - Carbon dioxide flows in a 50-mm-diameter pipe at a...Ch. 8 - Consider fully developed laminar flow in a...Ch. 8 - What is the largest diameter of pipeline that may...Ch. 8 - Consider fully developed laminar flow in the...Ch. 8 - Consider fully developed pressure-driven flow in a...Ch. 8 - In the laminar flow of an oil of viscosity 1 Pa_s,...Ch. 8 - In a laminar flow of 0.007 m3/s in a...Ch. 8 - Consider blood flow in an artery. Blood is...Ch. 8 - The classic Poiseuille flow (Eq. 8.12), is for...Ch. 8 - For pressure-driven, steady, fully developed...Ch. 8 - In a laminar flow in a 12-in.-diameter pipe the...Ch. 8 - A fluid of specific gravity 0.90 flows at a...Ch. 8 - In a food industry plant, two immiscible fluids...Ch. 8 - A horizontal pipe carries fluid in fully developed...Ch. 8 - Kerosene is pumped through a smooth tube with...Ch. 8 - In a flow of water in a 0.3-m-diameter pipe, the...Ch. 8 - A liquid drug, with the viscosity and density of...Ch. 8 - Laufer [5] measured the following data for mean...Ch. 8 - Equation 8.23 gives the power-law velocity profile...Ch. 8 - Consider fully developed laminar flow of water...Ch. 8 - Consider fully developed laminar flow in a...Ch. 8 - If the turbulent velocity profile in a pipe 0.6 m...Ch. 8 - Water flows in a horizontal constant-area pipe;...Ch. 8 - For a given volume flow rate and piping system,...Ch. 8 - Consider the pipe flow from the water tower of...Ch. 8 - At the inlet to a constant-diameter section of the...Ch. 8 - When oil (kinematic viscosity 1 104 m2/s,...Ch. 8 - When fluid of specific weight 50 lb/ft3 flows in a...Ch. 8 - If the head lost in 30-m-diameter of...Ch. 8 - Water flows at 10 L/min through a horizontal...Ch. 8 - Laufer [5] measured the following data for mean...Ch. 8 - Water is pumped at the rate of 0.075 m3/s from a...Ch. 8 - Just downstream from the nozzle tip the velocity...Ch. 8 - A horizontal nozzle having a cylindrical tip of 75...Ch. 8 - When 0.3 m3/s of water flows through a...Ch. 8 - Water flows through a 2-in.-diameter tube that...Ch. 8 - A 50-mm-diameter nozzle terminates a vertical...Ch. 8 - A 12-in.-diameter pipe leaves a reservoir of...Ch. 8 - A water pipe gradually changes from 6-in.-diameter...Ch. 8 - Air at standard conditions flows through a sudden...Ch. 8 - Water flows from a larger pipe, diameter D1 = 100...Ch. 8 - Flow through a sudden contraction is shown. The...Ch. 8 - A flow rate of 1.01/min of oil of specific gravity...Ch. 8 - Water flows in a smooth pipeline at a Reynolds...Ch. 8 - Air flows out of a clean room test chamber through...Ch. 8 - A conical diffuser is used to expand a pipe flow...Ch. 8 - By applying the basic equations to a control...Ch. 8 - Water at 45C enters a shower head through a...Ch. 8 - Water discharges to atmosphere from a large...Ch. 8 - A laboratory experiment is set up to measure...Ch. 8 - Oil with kinematic viscosity = 7.5 104 ft2/s...Ch. 8 - Water from a pump flows through a 9-in.-diameter...Ch. 8 - A 5-cm-diameter potable water line is to be run...Ch. 8 - A system for testing variable-output pumps...Ch. 8 - Two reservoirs are connected by three clean...Ch. 8 - Water, at volume flow rate Q = 0.75 ft3/s, is...Ch. 8 - When you drink a beverage with a straw, you need...Ch. 8 - What flow rate (gpm) will be produced in a...Ch. 8 - Gasoline flows in a long, underground pipeline at...Ch. 8 - An 18-in.-diameter new riveted steel pipeline 1000...Ch. 8 - What diameter of smooth masonry pipe is needed to...Ch. 8 - Water flows steadily in a 125-mm-diameter...Ch. 8 - Two galvanized iron pipes of diameter D are...Ch. 8 - A mining engineer plans to do hydraulic mining...Ch. 8 - The flow of water through a 150-mm-diameter...Ch. 8 - The fluid flowing has specific gravity 0.90; V75=6...Ch. 8 - Water is flowing. Calculate the direction and...Ch. 8 - Investigate the effect of tube roughness on flow...Ch. 8 - Investigate the effect of tube length on water...Ch. 8 - For the pipe flow into a reservoir of Example 8.5...Ch. 8 - Calculate the magnitude and direction of the...Ch. 8 - Experimental determination of local losses and...Ch. 8 - Water is flowing. Calculate the gage reading when...Ch. 8 - The siphon shown is fabricated from 50-mm-i.d....Ch. 8 - A large open water tank has a horizontal cast iron...Ch. 8 - A tank containing 30 m3 of kerosene is to be...Ch. 8 - A 90 screwed elbow is installed in a...Ch. 8 - Calculate the total tension in the bolts. Neglect...Ch. 8 - A horizontal 50-mm-diameter PVC pipeline leaves...Ch. 8 - You are watering your lawn with an old hose....Ch. 8 - Your boss claims that for pipe flow the flow rate,...Ch. 8 - A hydraulic press is powered by a remote...Ch. 8 - One-quarter of a cubic meter per second of liquid...Ch. 8 - Calculate the flow rate from this water tank if...Ch. 8 - A 6-ft-diameter pipeline 4 miles long between two...Ch. 8 - A new industrial plant requires a water flow rate...Ch. 8 - What diameter water pipe is required to handle...Ch. 8 - A pipe friction experiment for air consists of a...Ch. 8 - Oil has been flowing from a large tank on a hill...Ch. 8 - The pressure rise across a water pump is 35 psi...Ch. 8 - Cooling water is pumped from a reservoir to rock...Ch. 8 - You are asked to size a pump for installation in...Ch. 8 - Heavy crude oil (SG = 0.925 and = 1.0 104 m2/s)...Ch. 8 - Petroleum products are transported over long...Ch. 8 - The head versus capacity curve for a certain fan...Ch. 8 - A swimming pool has a partial-flow filtration...Ch. 8 - Water at 65C flows through a 75-mm-diameter...Ch. 8 - A 12 in. 6 in. Venturi meter is installed in a...Ch. 8 - A 1-in.-diameter nozzle is attached to a...Ch. 8 - A sharp-edged orifice with conventional pressure...Ch. 8 - A venturi meter with a 3-in.-diameter throat is...Ch. 8 - Air flows through a venturi meter with a...Ch. 8 - Water at 10C flows steadily through a venturi. The...Ch. 8 - Drinking straws are to be used to improve the air...Ch. 8 - In some western states, water for mining and...
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