Fox And Mcdonald's Introduction To Fluid Mechanics
9th Edition
ISBN: 9781118921876
Author: Pritchard, Philip J.; Leylegian, John C.; Bhaskaran, Rajesh
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 56P
Fluids of viscosities μ1 = 0.1 N·s/m2 and μ2 = 0.15 N·s/m2 are contained between two plates (each plate is 1 m2 in area). The thicknesses are h1 = 0.5 mm and h2 = 0.3 mm, respectively. Find the force F to make the upper plate move at a speed of 1 m/s. What is the fluid velocity at the interface between the two fluids?
P2.56
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
O Q1. Given the following system, find the shear stress in kg/m²,
developed on the fixed plate. The kinematic viscosity of the fluid is
4.4x104 m²/s and the specific weight of the fluid is 1.62 t/m³.
y
U
3
= 1.5- 0.5 (2)
U
h
fluid
U= 12 cm/s, h= 22 cm
fixed plate
An incompressible fluid (kinematic viscosity =7.4x10-7 m2/s, specific gravity=0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates,find the shear stress in Pascal on the surface of top plate.
1. A shaft with 100 mm diameter and 200 mm length rotates in the cylinder at 30 rpm, the
distance between the cylinder and the shaft is 0.04 mm and is filled with oil. Dynamic
viscosity of the oil is μ = 0.04 Ns/m². Find the moment to turn the shaft.
100 mm
0.04 mm
L-200 mm
R
M
3
Oil μ=0.04 Ns/m²
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
A(n) ____ is a member of a class that holds data. a. method b. instance c. field d. constructor
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
Big data Big data describes datasets with huge volumes that are beyond the ability of typical database manageme...
Management Information Systems: Managing The Digital Firm (16th Edition)
Repeat Self-Test Question 27, but change the value of n from 7 to 0.
Java: An Introduction to Problem Solving and Programming (8th Edition)
What does a post processor do?
Degarmo's Materials And Processes In Manufacturing
17–1C A high-speed aircraft is cruising in still air. How does the temperature of air at the nose of the aircra...
Thermodynamics: An Engineering Approach
Find the no-load value of υo in the circuit shown.
Find υo when RL is 150 Ω.
How much power is dissipated in th...
Electric Circuits. (11th Edition)
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
- fast pleasearrow_forwardFluid mechanicsarrow_forwardTwo plates are separated by 30 mm space. The lower plate moves at velocity of 2 m/s while the upper plate moves at a velocity of 8 m/s. Oil (S=0.58) which fills the space. The oil viscosity is equal to 0.003 m /s. The variation in velocity of the oil is linear. What is the shear stress in the oil (N/m2)? upper plate 8 m/s OIL 30 mm > 2 m/s lower platearrow_forward
- Determine the total summation of the y-component surface forces generated by the fluid in unit of lbf. Round to the nearest one decimal place. The average velocity vector and the absolute pressure of the section 1: V₁ = 4.3 i ft/s and P1 abs = 32 psi. The areas are A₁ = 15 in² and A2 = 3 in². The volume of the nozzle is 1.77 ft³. Ignore the weight of the nozzle.arrow_forward4. The space between two 6-in. long concentric cylinders is filled with glycerin (viscosity = 8.5 X 10³ lb-s/ft²). The inner cylinder has a radius of 3 in. and the gap width between cylinders is 0.1 in. Determine the torque and the power required to rotate the inner cylinder at 180 rev /min. The outer cylinder is fixed. Assume the velocity distribution in the gap to be linear. Refer to Fig. P1.3. Ans. 0.944 ft.-lb, 17.8 ft-lb/sarrow_forwardif the velocity distribution over the plate is given by u = shear stress at y = 0 and y = 2m. u + du dy u 13 y Take dynamic viscosity if fluid as 8.63 poise 2/3 y²-3y du - VELOCITY PROFILE in which u is the velocity in meter per second at a distance y meter above the plate, determine thearrow_forward
- The velocity profile for the course of a Newtonian substance between two wide, parallel plates is given by the equation: 3V U= 2 where V is the mean velocity. The fluid has a viscosity of 0.04lb-s/ft2. When V = 2 ft/s and h = 0.2in. Determine: (a) the shearing stress acting on the bottom wall, and; (b) the shearing stress acting on a plane parallel to the walls and passing through the centreline (Mid distribution).arrow_forwardChoose the correct answerarrow_forwardA vertical gap of 0.1 mm contains a fluid of viscosity (2 Pa.s). A thin metallic plate sheet (0.2 m x 0.3 m) is to be lifted up with a constant velocity of 0.1 m/s through the gap. Find the force (f) given the weight of the plate is 60 N a) If the plate is in the middle of the gap b) If the plate is as shown below 4f 0.3 mm 0.7mmarrow_forward
- Q1 A smooth cylinder of 50.1 mm inside diameter and 150 a long is placed with its axis vertical. If the clear- ance space is entirely filled with oil of viscosity 2.5 poise, calculate the force to push a shaft 50 mm diameter through the cylinder with a velocityof 0.8 m/sec.arrow_forwardTwo parallel flat plates are spaced 2 in. apart. One plate is moving at a velocity of 10 ft/min and the other is moving in the opposite direction at 35 ft/min. The viscosity of the fluid between the plates is constant at 363 lb/ft-hr. Calculate the stress on each plate. Calculate the fluid velocity profile expression for the system and fluid velocities at ½ in. intervals from plate to plate.arrow_forwarda flat plate of area 1.5×106 mm 2 is pulled with speed of 0.4 m/s relative to another plate located at a distance of 0.15 mm from it. find the force required to maintain this speed, if the fluid separating them is having viscosity 1 poisearrow_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