FOX+MCDONALD'S INTRO.TO...-ACCESS+BOX
9th Edition
ISBN: 9781118471340
Author: Pritchard
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6, Problem 16P
A diffuser for an incompressible, inviscid fluid of density ρ = 1000 kg/m3 consists of a horizontal diverging section of pipe. At the inlet the diameter is Di = 0.25 m, and at the outlet the diameter is Do = 0.75 m. The diffuser length is L = 1 m, and the diameter increases linearly with distance x along the diffuser. Derive and plot the acceleration of a fluid particle, assuming uniform flow at each section, if the speed at the inlet is Vi = 5 m/s. Plot the pressure gradient through the diffuser, and find its maximum value. If the pressure gradient must be no greater than 25 kPa/m, how long would the diffuser have to be?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A pipeline of constant diameter 0.6m, with its centreline on a horizontal plane turnsthrough a horizontal angle of 75°. It carries water at a volumetric flow rate of 0.85m3/s.Calculate the horizontal components of force exerted on the pipe bend (in the originaldirection of water flow and perpendicular to this).
A sharp - edged orifice of 12,5mm in diameter has a coefficient of discharge of 0.6 and is situated in the base of a closed tank. At a given instant the head of water above the orifice is 1,8m. The density of the water is 988 kg/m³. If the discharge of water is to be 90 kg/min at this instant, calculate against which pressure the air must be pumped in the tank above the water.
Water at a pressure of 294 3 kN/m flows through a horizontal pipe of 100 mm diameter with a velocity of 2 m/s. If the diameter of the pipe gradually reduces to 50 mm, what is the axial force on the pipe assuming no loss of energy.
Chapter 6 Solutions
FOX+MCDONALD'S INTRO.TO...-ACCESS+BOX
Ch. 6 - An incompressible frictionless flow field is given...Ch. 6 - A velocity field in a fluid with density of 1000...Ch. 6 - The x component of velocity in an incompressible...Ch. 6 - Consider the flow field with the velocity given by...Ch. 6 - Consider the flow field with the velocity given by...Ch. 6 - The velocity field for a plane source located...Ch. 6 - In a two-dimensional frictionless, incompressible...Ch. 6 - Consider a two-dimensional incompressible flow...Ch. 6 - An incompressible liquid with a density of 900...Ch. 6 - Consider a flow of water in pipe. What is the...
Ch. 6 - The velocity field for a plane vortex sink is...Ch. 6 - An incompressible liquid with negligible viscosity...Ch. 6 - Consider water flowing in a circular section of a...Ch. 6 - Consider a tornado as air moving in a circular...Ch. 6 - A nozzle for an incompressible, inviscid fluid of...Ch. 6 - A diffuser for an incompressible, inviscid fluid...Ch. 6 - A liquid layer separates two plane surfaces as...Ch. 6 - Consider Problem 6.15 with the nozzle directed...Ch. 6 - Consider Problem 6.16 with the diffuser directed...Ch. 6 - A rectangular computer chip floats on a thin layer...Ch. 6 - Heavy weights can be moved with relative ease on...Ch. 6 - The y component of velocity in a two-dimensional...Ch. 6 - The velocity field for a plane doublet is given in...Ch. 6 - Tomodel the velocity distribution in the curved...Ch. 6 - Repeat Example 6.1, but with the somewhat more...Ch. 6 - Using the analyses of Example 6.1 and Problem...Ch. 6 - Water flows at a speed of 25 ft/s. Calculate the...Ch. 6 - Plot the speed of air versus the dynamic pressure...Ch. 6 - Water flows in a pipeline. At a point in the line...Ch. 6 - In a pipe 0.3 m in diameter, 0.3 m3/s of water are...Ch. 6 - A jet of air from a nozzle is blown at right...Ch. 6 - The inlet contraction and test section of a...Ch. 6 - Maintenance work on high-pressure hydraulic...Ch. 6 - An open-circuit wind tunnel draws in air from the...Ch. 6 - Water is flowing. Calculate H(m) and p(kPa). P6.36Ch. 6 - If each gauge shows the same reading for a flow...Ch. 6 - Derive a relation between A1 and A2 so that for a...Ch. 6 - Water flows steadily up the vertical 1...Ch. 6 - Your car runs out of gas unexpectedly and you...Ch. 6 - A tank at a pressure of 50 kPa gage gets a pinhole...Ch. 6 - The water flow rate through the siphon is 5 L/s,...Ch. 6 - Water flows from a very large tank through a 5 cm...Ch. 6 - Consider frictionless, incompressible flow of air...Ch. 6 - A closed tank contains water with air above it....Ch. 6 - Water jets upward through a 3-in.-diameter nozzle...Ch. 6 - Calculate the rate of flow through this pipeline...Ch. 6 - A mercury barometer is carried in a car on a day...Ch. 6 - A racing car travels at 235 mph along a...Ch. 6 - The velocity field for a plane source at a...Ch. 6 - A smoothly contoured nozzle, with outlet diameter...Ch. 6 - Water flows steadily through a 3.25-in.-diameter...Ch. 6 - A flow nozzle is a device for measuring the flow...Ch. 6 - The head of water on a 50 mm diameter smooth...Ch. 6 - Water flows from one reservoir in a 200-mm pipe,...Ch. 6 - Barometric pressure is 14.0 psia. What is the...Ch. 6 - A spray system is shown in the diagram. Water is...Ch. 6 - Water flows out of a kitchen faucet of...Ch. 6 - A horizontal axisymmetric jet of air with...Ch. 6 - The water level in a large tank is maintained at...Ch. 6 - Many recreation facilities use inflatable bubble...Ch. 6 - Water flows at low speed through a circular tube...Ch. 6 - Describe the pressure distribution on the exterior...Ch. 6 - An aspirator provides suction by using a stream of...Ch. 6 - Carefully sketch the energy grade lines (EGL) and...Ch. 6 - Carefully sketch the energy grade lines (EGL) and...Ch. 6 - Water is being pumped from the lower reservoir...Ch. 6 - The turbine extracts power from the water flowing...Ch. 6 - Consider a two-dimensional fluid flow: u = ax + by...Ch. 6 - The velocity field for a two-dimensional flow is...Ch. 6 - A flow field is characterized by the stream...Ch. 6 - The flow field for a plane source at a distance h...Ch. 6 - The stream function of a flow field is = Ax2y ...Ch. 6 - A flow field is characterized by the stream...Ch. 6 - A flow field is characterized by the stream...Ch. 6 - The stream function of a flow field is = Ax3 ...Ch. 6 - A flow field is represented by the stream function...Ch. 6 - Consider the flow field represented by the...Ch. 6 - Show by expanding and collecting real and...Ch. 6 - Consider the flow field represented by the...Ch. 6 - An incompressible flow field is characterized by...Ch. 6 - Consider an air flow over a flat wall with an...Ch. 6 - A source with a strength of q = 3 m2/s and a sink...Ch. 6 - The velocity distribution in a two-dimensional,...Ch. 6 - Consider the flow past a circular cylinder, of...Ch. 6 - The flow in a corner with an angle can be...Ch. 6 - Consider the two-dimensional flow against a flat...Ch. 6 - A source and a sink with strengths of equal...Ch. 6 - A flow field is formed by combining a uniform flow...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 6.36 This two-dimensional water (at 50°F) jet is deflected by the two-dimensional vane, which is moving to the right with a speed of 60 ft/s. The initial jet is 0.30 ft thick (vertical dimension), and its speed is 100 ft/s. What power per foot of the jet (normal to the page) is transmitted to the vane? See §6.5 for useful knowledge about moving CVs.arrow_forwardA pipe tapers over 60m from 450mm in diameter to 675mm in diameter. The gauge pressure at the inlet is 75 kN/m2 and the gauge pressure at the outlet is 90 kN/m2. If the centreline of the pipe rises at a gradient of 1 in 80 and the energy loss due to friction is 0.01m per metre length determine the flowrate in the pipeline and the velocity at entry and exit.arrow_forwardA sink of strength 20 m2/s is situated 3 m upstream of a source of 40 m²/s in a uniform stream. It is found that, at a point 2.5 m from both source and sink, the local velocity is normal to the line joining the source and sink. Find the velocity at this point and the velocity of the uniform stream. Locate any stagnation points and sketch the flow field.arrow_forward
- The cylinder bore diameter of a single-acting reciprocating pump is 150 mm and its stroke is 300 mm. The pump runs at 60 rpm and lifts water through a height of 30 m. The delivery pipe is 22 m long and 100 mm in diameter. Find the theoretical discharge and the theoretical power required to run the pump. If the actual discharge is 4.2 liters/s, find the percentage slip and determine the acceleration head at the beginning and middle of the delivery stroke.arrow_forwardLiquid fertiliser of density 1100 kg/m3 is being pumped along a pipe of diameter 15 cm at a constant rate of 5.25 kg/s. Calculate the average speed of the flow.arrow_forwardA circular pipe 2 m long carries water and tapers uniformly from diameter 0.1 m at point A to 0.2 m at point B and slopes upwards at 30◦. Neglecting viscous effects, determine the volume flow rate through the pipe and the pressure at point C halfway between A and B, given that the static pressures at A and B are 2.0 and 2.4 bar respectively.arrow_forward
- When a viscous, incompressible fluid enters a pipe of radius, R, its velocity is uniform and of magnitude U0. The fluid eventually becomes fully-developed, at which point it has a parabolic velocity profile described by the equation u(r) = Umax[ 1 − ( r/R )^2 ] , where r is the radial distance measured from the center line of the pipe. Determine an expression for the ratio of the max velocity of the fully-developed pipe flow to the uniform inlet velocity, Umax/U0. The fluid is flowing steadilyarrow_forwardConsider the flow of a fluid at speed v0, through a cylindrical pipe of radius r. What would be the speedof this fluid at a point where, because of a constriction in the pipe, the fluid is confined to a cylindricalopening of radius r/4?arrow_forwardA horizontal pipe of diameter 25cm has a constriction of diameter of 5cm. The velocity of the water in the pipe is 1cm/s and the pressure is 10⁵ Pa. Calculate the velocity and pressure in the constriction. Include an illustration or drawing of the situationarrow_forward
- A 300-mm pipe carries oil of sp gr 0.812 at a rate of 0.111 m /s, and the pressure at point A is 18.4 kPa gage. If point A is 1.89 m above the datum plane, calculate the energy at A.arrow_forward(a) Write short notes about the following as they are applied in fluid mechanics (i) Uniform flow (ii) Uniform stead flow (b)Consider a cylinder of fluid of length L and radius R flowing steadily in the centre of a pipe of radius r as shown below L r R Show that when the flow in the pipe is laminar the pressure loss is directly proportional to the velocity and obeys the equation Where v is the velocity D is the diameter of the pipearrow_forwardWater flows through a circular pipe with a constant radius of 10cm. The speed and pressure at point A is 4m/s and 250,000Pa respectively.a. What is the speed of the fluid at Point B? b. What is the pressure at point B which is 10m higher than point A?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure; Author: Lectures by Walter Lewin. They will make you ♥ Physics.;https://www.youtube.com/watch?v=O_HQklhIlwQ;License: Standard YouTube License, CC-BY
Dynamics of Fluid Flow - Introduction; Author: Tutorials Point (India) Ltd.;https://www.youtube.com/watch?v=djx9jlkYAt4;License: Standard Youtube License