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 128P
One-quarter of a cubic meter per second of liquid at 20°C is to be carried between two tanks having a difference of surface elevation of 9 m. If the pipeline is smooth and 90 m long, what pipe size is required if the liquid is (a) crude oil, (b) water?
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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.
C2. A conical tube is fixed vertically with its smaller end upwards and it forms a part of the pipeline. The diameter at the smaller end is 245 mm and at the larger end is 467 mm. The length of the conical tube is 1.8 m and the flow rate of the oil is 128 liters/s. The pressure at the smaller end is equivalent to a head of 9.7 m of oil.
Considering the following two cases:
(1) Neglecting friction, (without head loss) determine (i) the velocity at the smaller end in m/s, (ii) the velocity at the larger end in m/s, and (iii) the pressure at the larger end of the tube.
(2) If a head loss (with head loss) in the tube is hL= 0.0153(V1-V2)2, where V1 is the velocity at the smaller end and V2 is the velocity at the larger end, determine (iv) the head loss in m of oil and (v) the pressure at the larger end of the tube.
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. 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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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