Concept explainers
A proposal has been made to use a pair of parallel disks to measure the viscosity of a liquid sample. The upper disk rotates at height h above the lower disk. The viscosity of the liquid in the gap is to be calculated from measurements of the torque needed to turn the upper disk steadily. Obtain an algebraic expression for the torque needed to turn the disk. Could we use this device to measure the viscosity of a non-Newtonian fluid? Explain.
P2.61
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Fox And Mcdonald's Introduction To Fluid Mechanics
Additional Engineering Textbook Solutions
Applied Fluid Mechanics (7th Edition)
Degarmo's Materials And Processes In Manufacturing
Applied Statics and Strength of Materials (6th Edition)
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
DeGarmo's Materials and Processes in Manufacturing
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
- A rotating cup viscometer has an inner cylinder diameter of 50.8mm, and the gap between cups is 5.08mm. The inner cylinder length is 63.5mm. The viscometer is used to obtain viscosity data on a Newtonian liquid. When the inner cylinder rotates at 10 rev/min, the torque on the inner cylinder is measured to be 0.01243mN - m. Calculate the viscosity of the fluid. If the fluid density is 850 kg/ m^3, calculate the kinematic viscosity.arrow_forwardProblem 3: A honeybee farmer wants to measure the absolute viscosity of his honey. You suggest dropping a 4mm steel ball into a container of honey and measure the time it takes for the ball to pass between two marks as shown. If the time is 13 seconds, what is the honey's viscosity. Assume the density of the honey is 1450 kg/m3 and the density of the steel ball is 7800 kg/m³. Honey 5 cmarrow_forward1. For the shown conic body which rotating with constant angular velocity 10 rad/s, find the torque which effected by viscosity of the oil that surrounding the conic body. Take: Radius of the cone is 2 in Height of the cone is 4 in Oil viscosity is 3.125x107 lb.s/in? Answer : Torque =0.02535 lb. In P10 rad/s 0.01-in film 0.01 inarrow_forward
- QI// A vertical cylinder of diameter 190mm rotates concentrically inside another cylinder of diameter 191.5mm. Both the cylinders are 300mm high. The space between the cylinders is filled with a liquid, determine the viscosity of the liquid if a torque of 25N.m is required to rotate the inner cylinder at 123 r.p.m.arrow_forward۱۵ Q3/ A dash pot is 0.2 m in diameter and 0.25 m long and it slides down in a vertical cylinder of diameter 0.21 m. The lubricating oil filled in the annular space has a viscosity of 0.5 poise and has a linear velocity profile. When the load on the piston is 25 N, find the speed with which the piston slides down. سرعة الله Dash pot Oil Cylinder- 0.2 m 25 N 0.21 m T 0.25 marrow_forwardProblem 1: A cone-plate viscometer is a device used to measure a fluid's viscosity. The torque M required to turn a cone-plate viscometer depends on the angular velocity, the radius R, the cone angle and the viscosity of the test fluid μ: M = f(Q,R,0,µ) (it is assumed that inertial effect is negligible; thus the torque does not depend on the fluid's density). Make this torque relation dimensionless (note that the angle is dimensionless). 0 Ω q. R Fluidarrow_forward
- Figure 1 shows a layer of oil (8.95 kN/m³), the thickness of 0.3 mm, between two parallel flat plates. The upper plate is pulled across the bottom plate with a cable connected to a winch. The upper plate moves with a velocity of 0.05 m/s. The area of contact between the upper plate and the oil is 1.5 m². Determine the kinematic viscosity of the oil if the torque acting on the winch drum should not exceed 24.5 x 103 Nm. Take the drum diameter as 50 mm. Figure 1 Winch- Pulley 0.3 mmarrow_forwardFigure 1 shows a layer of oil (8.95 kN/m³), the thickness of 0.3 mm, between two parallel flat plates. The upper plate is pulled across the bottom plate with a cable connected to a winch. The upper plate moves with a velocity of 0.05 m/s. The area of contact between the upper plate and the oil is 1.5 m². Determine the kinematic viscosity of the oil if the torque acting on the winch drum should not exceed 24.5 x 10-3 Nm. Take the drum diameter as 50 mm. Figure 1 Winch- Pulley 0.3 mm QUESTION 2arrow_forward(a). A lubricating oil having the dynamic viscosity of 0.055 poise and kinematic viscosity of 0.11 stokes. Calculate (i) the density of oil in kg/m³, (ii) the weight density of oil in N/m³, (i) the specific gravity, and (iv) the specific volume in m/kg.arrow_forward
- The space between two square flat parallel plates is filled with oil. Each side of the square plate is 0.8 m. The specific weight of the oil is 9620 N/m?, the thickness of the oil film is 16.6 mm and requires a force of 170 N. Take the kinematic viscosity of the liquid as 16 stokes. Determine (i) the shear stress (i) the density of oil (ii) the dynamic viscosity in poise and (iv) the moving velocity of the upper plate. (ENTER ONLY THE VALUE IN THE BOXES BY REFERRING THE UNIT GIVEN IN BRACKET. ALSO UPLOAD YOUR HAND WRITTEN ANSWERS IN THE LINK PROVIDED) ()Shear stress in N/m2 (ii)The density of oil in kg/m (ii)The dynamic viscosity in poise (iv)The moving velocity of the upper plate in m/s.arrow_forwardPart 1: Rotating Viscometer One type of viscometer involves the use of a rotating cylinder inside a fixed cylinder as shown in the figure below. The gap between the cylinders must be very small to achieve a linear velocity distribution in the liquid. Design a viscometer that will be used to measure the viscosity of motor SAE 30 oil from 0°C to 100°C. Here you need to determine and report the following parameters: a. The dimensions of the two cylinders, lengths, thicknesses and diameters. b. The gap clearance between the surfaces of the cylinders. c. The rated power of the driving motor. d. The rotational speed of the shaft. e. Assumptions, and operational procedure. Rotating Drum Viscometer Drive Motor Rotating Cylinder Viscos Liquid Sample Stationary Cylinder Figure 3: Schematic for task 3 part 1. Part 2: Viscosity Correlation For the above viscometer: a. Calculate the applied power function of the oil viscosity over the specified range of temperature. Plot Power function of…arrow_forwardTutorial Problem #3. As we discussed in lecture, a concentric cylinder viscometer is often used to measure the viscosity (μ) of Newtonian fluids. As shown in the accompanying figure, the outer cylinder (with radius Ro) remains stationary while the inner cylinder (with radius R₁) rotates at an angular velocity of w (rev/min) and the torque (T) required to rotate the inner cylinder is measured. Outer Cylinder Fluid Inner Cylinder T ω R₁ R a. Starting from Newton's law of viscosity, derive the correct equation that is used to calculate u in μ terms of w, T, Ro, R₁ and € (the height of the fluid in the gap between the two cylinders). Because the radial distance between the cylinders (i.e Ro - R₁) is quite small, you can assume that the velocity profile of the fluid varies linearly with respect to distance between the cylinders. HINT #1: Torque is the required force multiplied by the moment arm (which is R¡ in this case) HINT #2: Multiply the angular velocity by the circumference of the…arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY