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
Videos
Textbook Question
Chapter 2, Problem 62P
The cone and plate viscometer shown is an instrument used frequently to characterize non-Newtonian fluids. It consists of a flat plate and a rotating cone with a very obtuse angle (typically θ is less than 0.5 degrees). The apex of the cone just touches the plate surface and the liquid to be tested fills the narrow gap formed by the cone and plate. The viscometer is used to measure the apparent viscosity of a fluid. The data below are obtained. What kind of non-Newtonian fluid is this? Find the values of k and n used in Eqs. 2.16 and 2.17 in defining the apparent viscosity of a fluid. (Assume θ is 0.5 degrees.) Predict the viscosity at 90 and 100 rpm.
P2.62
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A concentric cylinder viscometer may be formed by rotating the inner member of a pair of closely fitting cylinders. The annular gap is small so that a linear velocity profile will exist in the liquid sample. Consider a viscometer with an inner cylinder diameter of 4 in, a height of 8 in, and a clearance gap width of 0.001 in, filled with castor oil at 90 oF. Determine the torque (in lbf×ft) require to turn the inner cylinder at 400 rpm. The dynamic viscosity of the caster oil is 0.0079 lbf×s /ft2.
Provide detailed explanation: Explain the variation of the viscosity of a fluid withA. TemperatureB. PressureC. DensityD. Temperature & amp; pressureE. Temperature, pressure & amp; density
A thin circular plate of diameter 80 mm is placed in the oil bath of specific gravity 0.9. The dynamic viscosity of the above said oil is 1.032 x10 – 8 Ns/cm2 . Find the force required to drag the plate moving at 12 cm/s, when it is placed 10 mm from the top fixed plate & 30 mm from the bottom fixed plate. Sketch the arrangement.
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
The rate of heat addition and the magnitude of kinetic and potential energy change.
Introduction to Heat Transfer
Give the phase and the missing property of P, T, v, and x for R134a at a. T=10F,P=l8psia b. T=40F,v=1.3ft3/lbm
Fundamentals Of Thermodynamics
In initially, the block is at rest.
Engineering Mechanics: Dynamics (14th Edition)
At what angle must the 800-lb force be applied in order that the resultant R of the two forces have a magnitud...
Engineering Mechanics: Statics
Explain how controlled movements of the work m three mutually perpendicular directions are obtained m column-an...
Degarmo's Materials And Processes In Manufacturing
What parts are included in the vehicle chassis?
Automotive Technology: Principles, Diagnosis, and Service (5th 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
- Q7) A flat plate of area 1.5 x 106 mm2 is pulled with a speed of 0.5 m/s relative to another plate located at a distance of 0.2 mm from it. Find the force and power required to maintain this speed, if the fluid separating them is having viscosity as 1 Poisarrow_forwardA cylinder of 0.40-ft radius rotates concentrically inside a fixed cylinder of 0.42-ft radius. Both cylinders are 1-ft long. Determine the viscosity in terms of Reyn of the liquid that fills the space between the cylinders if a torque of 0.650 lb-ft is required to maintain an angular velocity of 60 rpm.arrow_forwardThe rotating disk viscometer is a precise device for measuring the viscosity of fluids. In this type of viscometer, the flow develops in the gap (H) between the two parallel horizontal circular plates (disks) that have each a radius (R). The upper disk is rotated at a constant angular velocity (0) while the lower one is fixed. This results in a flow where only the angular component of the velocity vector (ve) is nonzero. It is parrow_forward
- Determine the change in the kinematic viscosity of air that is heated from 10°C to 70°C. Assume standard atmospheric pressure. show solution.arrow_forwardA solid sphere diameter of 6 mm is rising through oil of density 900 kg/m^3, dynamic viscosity of .07 kg/m-s. At a constant velocity of 1 cm/s. Calculate the specific weight of the material.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_forward
- What methods exist to calculate the viscosity of dense gases and liquids?arrow_forwardA device's outer cylinder diameter is 6" and its distance from outer cylinder to the inner cylinder is 0.0443". The said outer cylinder of the device is rotated at 263 rpm and produces a torque of 1.11 lbf-ft. Determine the viscosity of the fluid inside the concentric cylinders of the viscometer it its length is 5'. Express your answer in 7 decimal places and in lbf-s/ft2.arrow_forwardA rotating viscometer consists of two concentric cylinders—a stationary inner cyliner of radius Ri and an outer cylinder of inside radius Ro rotating at angular velocity (rotation rate) ?o. In the tiny gap between the two cylinders is the fluid whose viscosity (? ) is to be measured. The length of the cylinders in Fig is L. L is large such that end effects are negligible (we can treat this as a two-dimensional problem). Torque (T) is required to rotate the inner cylinder at constant speed. Showing all your work and algebra, generate an approximate expression of T as a function of the other variables.arrow_forward
- A uniform film of oil 0.13 mm thick separates two disks, each of 200 mm diameter, mounted co-axially. Ignoring edge effects, calculate the torque necessary to rotate one disk relative to the other at a speed of 44 rad/s (7 rev/s) if the oil has a dynamic viscosity of 0.14 Pa s.arrow_forwardA 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_forwardAn oil film of thickness 1.5 mm is used for lubrication between asquare plate of size 0.9 m × 0.9 m and an inclined plane having anangle of inclination 200. The weight of the square plate is 392.4 N andit slides down the plane with a uniform velocity of 0.2 m/s. Find thedynamic viscosity of the oilarrow_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
Unit Conversion the Easy Way (Dimensional Analysis); Author: ketzbook;https://www.youtube.com/watch?v=HRe1mire4Gc;License: Standard YouTube License, CC-BY