Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Chapter 8, Problem 93P
Oil with kinematic viscosity ν = 7.5 × 10−4 ft2/s flows at 45 gpm in a 100-ft-long horizontal drawn-tubing pipe of 1 in. diameter. By what percentage ratio will the energy loss increase if the same flow rate is maintained while the pipe diameter is reduced to 0.75 in.?
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The ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 8 m3/hour. The length of the pipe is 35m and there are 2 elbows. Calculate the pump power requirement. The properties of the solution are density 975 kg/m3 and viscosity 4x 10-4 Pa s.
a. Reynolds number =
b. Energy Loss along a straight pipe = J/kg.
c. Energy Loss in turns = J/kg.
d. Total energy to overcome friction = J/kg.
e. Energy to raise water to height = J/kg.
f. Theoretical energy requirement of the pump kg ethanol/second = J/kg.
g. Actual pump power requirement = watt.
The ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 10 m3 / hr. The pipe length is 35m and there are 2 elbows. Calculate the power requirements of the pump. The properties of the solution are density 975 kg / m3 and viscosity 4x 10-4 Pa s.
a. Reynold number = Answer
b. Loss of Energy along the straight pipe = Answer J / kg.
c. Losing Energy at curves = Answer J / kg.
d. Total energy to overcome friction = Answer J / kg.
e. Energy to increase water according to height = Answer J / kg.
f. The theoretical energy requirement of the pump ethanol / second = Answer J / kg.
g. Actual pump power requirement = Answer watt.
4.
Oil with viscosity 2 x 10-2 Ns/m² and density 850 kg/m3 is pumped along a straight
horizontal pipe with a flow rate of 5 dm3/s. The static pressure difference between two
tapping points 10 m apart is 80 N/m². Assuming laminar flow determine the following.
i. The pipe diameter.
ii. The Reynolds number.
Comment on the validity of the assumption that the flow is laminar
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. 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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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- pressure different is 2200 kN/m2 and pipe length is 98marrow_forwardThe ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 8 m3 / hr. The pipe length is 35m and there are 2 elbows. Calculate the power requirements of the pump. The properties of the solution are density 975 kg / m3 and viscosity 4x 10-4 Pa s. a. Reynold number = ..... b. Energy Loss along the straight pipe = ..... J / kg. c. Energy Loss at curves = ..... J / kg. d. Total energy to overcome friction = ..... J / kg. e. Energy to raise water according to height = ..... J / kg. f. The theoretical energy requirement for the pump is kg ethanol / second = ..... J / kg. g. Actual pump power requirement = ..... watts.arrow_forwardState clearly your assumptions in your solution sheetarrow_forward
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