Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 49P
The fluid drive shown transmits a torque T for steady-state conditions (ω1 and ω2 constant). Derive an expression for the slip (ω1 − ω2) in terms of T, μ, d, and h. For values d = 6 in., h = 0.2 in., SAE 30 oil at 75°F, a shaft rotation of 120 rpm, and a torque of 0.003 ft-lbf, determine the slip.
P2.49
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
By means of a torque T, a disk 1 is rotated with an angular velocity w1. In the gap "between the two disks shown there is an oil of viscosity. If disk 2 rotates freely under the action of disk 1 and both disks have a diameter D. Determine the expression for rotation w of disk 2, neglecting external effects.
A shaft 70-mm in diameter is being pushed at a speed of 400mm/s through a bearing sleeve 70.2-mm in diameter and 250mm long. The clearance is filled with oil with a kinematic viscosity of v = 0.005 ?2/? and SG=0.9. Find the frictional resistance exerted by the oil on the shaft in Newtons (N). And when the shaft is fixed axially and rotated inside the sleeve at 2000 rpm, determine the resisting torque exerted by the oil and the power required to rotate the shaft in kiloWatts (kW).
A cylinder of 250mm in diameter rotates concentrically inside a fixed of 130mm radius. Both cylinders are 300mm long. Determine the viscosity of the liquid which fills the gap between the cylinders if a torque of 0.88N-m is required to maintain an angular velocity of 2π radians/sec. Assume the velocity gradient to be a straight line. Determine the viscosity of the liquid in poise.
Chapter 2 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 2 - For the velocity fields given below, determine:...Ch. 2 - For the velocity fields given below, determine:...Ch. 2 - A viscous liquid is sheared between two parallel...Ch. 2 - For the velocity field V=Ax2yi+Bxy2j, where A = 2...Ch. 2 - A fluid flow has the following velocity...Ch. 2 - When an incompressible, nonviscous fluid flows...Ch. 2 - For the free vortex flow the velocities are t =...Ch. 2 - For the forced vortex flow the velocities are t =...Ch. 2 - A velocity field is specified as V=axyi+by2j,...Ch. 2 - A velocity field is given by V=ax3i+bxy3j, where a...
Ch. 2 - The velocity for a steady, incompressible flow in...Ch. 2 - The flow field for an atmospheric flow is given by...Ch. 2 - For the velocity field V=AxiAyj,, where A = 2s 1....Ch. 2 - A velocity field in polar coordinates is given...Ch. 2 - The flow of air near the Earths surface is...Ch. 2 - A velocity field is given by V=aytibxj, where a =...Ch. 2 - Air flows downward toward an infinitely wide...Ch. 2 - Consider the flow described by the velocity field...Ch. 2 - Consider the velocity field V = axi + by(1 + ct)...Ch. 2 - Consider the flow field given in Eulerian...Ch. 2 - A velocity field is given by V=axti+byj, where A =...Ch. 2 - Consider the garden hose of Fig. 2.5. Suppose the...Ch. 2 - Consider the velocity field of Problem 2.18. Plot...Ch. 2 - Streaklines are traced out by neutrally buoyant...Ch. 2 - Consider the flow field V=axti+bj, where a = 1/s2...Ch. 2 - A flow is described by velocity field V=ay2i+bj,...Ch. 2 - Tiny hydrogen bubbles are being used as tracers to...Ch. 2 - A flow is described by velocity field V=ai+bxj,...Ch. 2 - A flow is described by velocity field V=ayi+btj,...Ch. 2 - A flow is described by velocity field V=ati+bj,...Ch. 2 - The variation with temperature of the viscosity of...Ch. 2 - The variation with temperature of the viscosity of...Ch. 2 - Some experimental data for the viscosity of helium...Ch. 2 - The velocity distribution for laminar flow between...Ch. 2 - What is the ratio between the viscosities of air...Ch. 2 - Calculate velocity gradients and shear stress for...Ch. 2 - A very large thin plate is centered in a gap of...Ch. 2 - A female freestyle ice skater, weighing 100 lbf,...Ch. 2 - A block of mass 10 kg and measuring 250 mm on each...Ch. 2 - A 73-mm-diameter aluminum (SG = 2.64) piston of...Ch. 2 - A vertical gap 25 mm wide of infinite extent...Ch. 2 - A cylinder 8 in. in diameter and 3 ft long is...Ch. 2 - Crude oil at 20C fills the space between two...Ch. 2 - The piston in Problem 2.40 is traveling at...Ch. 2 - A block of mass M slides on a thin film of oil....Ch. 2 - A block 0.1 m square, with 5 kg mass, slides down...Ch. 2 - A torque of 4 N m is required to rotate the...Ch. 2 - A circular disk of diameter d is slowly rotated in...Ch. 2 - The fluid drive shown transmits a torque T for...Ch. 2 - A block that is a mm square slides across a flat...Ch. 2 - In a food-processing plant, honey is pumped...Ch. 2 - SAE 10W-30 oil at 100C is pumped through a tube L...Ch. 2 - The lubricant has a kinematic viscosity of 2:8105...Ch. 2 - Calculate the approximate viscosity of the oil....Ch. 2 - Calculate the approximate power lost in friction...Ch. 2 - Fluids of viscosities 1 = 0.1 Ns/m2 and 2 = 0.15...Ch. 2 - A concentric cylinder viscometer may be formed by...Ch. 2 - A concentric cylinder viscometer is driven by a...Ch. 2 - A shaft with outside diameter of 18 mm turns at 20...Ch. 2 - A shock-free coupling for a low-power mechanical...Ch. 2 - A proposal has been made to use a pair of parallel...Ch. 2 - The cone and plate viscometer shown is an...Ch. 2 - A viscometer is used to measure the viscosity of a...Ch. 2 - A concentric-cylinder viscometer is shown. Viscous...Ch. 2 - Design a concentric-cylinder viscometer to measure...Ch. 2 - A cross section of a rotating bearing is shown....Ch. 2 - Small gas bubbles form in soda when a bottle or...Ch. 2 - You intend to gently place several steel needles...Ch. 2 - According to Folsom [6], the capillary rise h...Ch. 2 - Calculate and plot the maximum capillary rise of...Ch. 2 - Calculate the maximum capillary rise of water...Ch. 2 - Calculate the maximum capillary depression of...Ch. 2 - Water usually is assumed to be incompressible when...Ch. 2 - The viscous boundary layer velocity profile shown...Ch. 2 - In a food industry process, carbon tetrachloride...Ch. 2 - What is the Reynolds number of water at 20C...Ch. 2 - A supersonic aircraft travels at 2700 km/hr at an...Ch. 2 - SAE 30 oil at 100C flows through a 12-mm-diameter...Ch. 2 - A seaplane is flying at 100 mph through air at...Ch. 2 - An airliner is cruising at an altitude of 5.5 km...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Why are most broaches made from alloy or high-speed steel rather than from tungsten carbide?
Degarmo's Materials And Processes In Manufacturing
Assuming that the foundation exerts a linearly varying load distribution on its bottom, determine the load inte...
Engineering Mechanics: Statics
Determine the greatest load P that can be applied to the truss so that none of the members are subjected to a f...
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
ICA 7-30
A circular window has a 10-inch [in] radius. What is the surface area of one side of the window in uni...
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
1.1 What is the difference between an atom and a molecule? A molecule and a crystal?
Manufacturing Engineering & Technology
Determine the normal stress in each member of the truss structure. All joints are ball joint, and the material ...
Introduction To Finite Element Analysis And Design
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
- Based on attached material, please solve following problem. A journal bearing of length 60 mm is to support a steady load of 20 kN. The journal, of diameter 50 mm, runs at 10 revolutions per second. Assuming c/R = 0.001 and ε = 0.6, determine a suitable viscosity of the oil, using the theory of (a) the very long bearing with the full Sommerfeld condition, (b) the very short bearing with the half Sommerfeld condition. For (a) determine the power required to overcome friction, and the best position for the oil supply hole relative to the load line. Would this position also be suitable according to theory (b)?arrow_forwardA cylinder of 125mm radius rotates concentrically inside a fixed cylinder of 130mm radius. Both cylinders are 300mm long. Determine the viscosity of the liquid which fills the space between the cylinders if a torque of 0.88 N-m is required to maintain an angular velocity of 2π radians/sec. Assume the velocity gradient to be straight line.arrow_forwardThe rotating parts of a hydroelectric power plant having power capacity W . have a rotational synchronous speed n .. The weight of the rotating parts (the hydroturbine and its electric generator) is supported in a thrust bearing having annular form between D and d diameters as sketched. The thrust bearing is operated with a very thin oil film of thickness e and dynamic viscosity ? . It is assumed that the oil is a Newtonian fluid and the velocity is approximated as linear in the bearing. Calculate the ratio of lost power in the thrust bearing to the produced power in the hydraulic power plant. Use W . = 48.6 MW, ? = 0.035 Pa⋅s, n . = 500 rpm, e = 0.25 mm, D = 3.2 m, and d = 2.4 m.arrow_forward
- A shaft 70-mm in diameter is being pushed at a speed of 400mm/s through a bearing sleeve 70.2-mm in diameter and 250mm long. The clearance is filled with oil with a kinematic viscosity of v = 0.005 m²/s and SG-0.9. A. Find the frictional resistance exerted by the oil on the shaft in Newtons (N). B. If the shaft in the problem above is fixed axially and rotated inside the sleeve at 2000 rpm, determine the resisting torque exerted by the oil and the power required to rotate the shaft in kilowatts (kW).arrow_forwardDetermine the velocity profile within a 12 µm diameter capillary, with a viscosity of 4 cP, and a pressure gradient of 25 mm Hg/500 µm. Assume that gravitational effects can be ignored and that the blood vessel is perfectly cylindrical.arrow_forwardA block of weight W is being pulled over a table by anotherweight W o , as shown in Fig. Find an algebraic formulafor the steady velocity U of the block if it slides on an oil film of thickness h and viscosity μ . The block bottomarea A is in contact with the oil. Neglect the cord weightand pulley friction. Assume a linear velocity profile inthe oil film.arrow_forward
- A piston has a 6 "diameter where a 6.008" bore riser slides. The piston is 6 In.long and weighs 2.2 Ib. Determine the terminal velocity of the piston if it is lubricated with oil with a viscosity of 0.020 Ib-s / ft2.arrow_forwardA liquid with kinematic viscosity of 3 centi stokes and specific weight 9 kN/m3 fills the space between a large stationary plate and a parallel plate of 475 mm square, the film thickness being 1 mm. If the smaller plate is to be pulled with uniform velocity of 4 m/s, determine the force required if the liquid film is maintained all through.arrow_forwardA cylinder of mass m slides down from rest in a vertical tube whose inner surface is covered by a viscous oil of film thickness h. If the diameter and height of the cylinder are D and L, respectively, derive an expression for the velocity of the cylinder as a function of time, t. Discuss what will happen as t → ∞. Can this device serve as a viscometer?arrow_forward
- steel tape 0.5 mm thick and 20 mm wide is pulled by a force F through a slit opening 1.5 mm and length 15 mm. Considering that the tape is centered on the slit, that lubricating oil of viscosity µ = 0.4 Nm-2s? fills the gap spaces not occupied by the tape and that the maximum tape speed is 10 m/s, calculate the maximum force F. Expected Answer: Maximum Force = 4.8Narrow_forwardQ6) The space between two parallel plates is filled with oil. Each side of the plate is 60 cm. the thickness of oil film is 12.5 mm. The upper plate, which moves at 2.5 metre per sec requires a force of 98.1 N to maintain the Speed. Determinearrow_forwardFind the dynamic and kinematic viscosities of water at 327 K.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
Properties of Fluids: The Basics; Author: Swanson Flo;https://www.youtube.com/watch?v=TgD3nEO1iCA;License: Standard YouTube License, CC-BY
Fluid Mechanics-Lecture-1_Introduction & Basic Concepts; Author: OOkul - UPSC & SSC Exams;https://www.youtube.com/watch?v=6bZodDnmE0o;License: Standard Youtube License