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
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
Introduction to Heat Transfer
Fundamentals Of Thermodynamics
Engineering Mechanics: Dynamics (14th Edition)
Engineering Mechanics: Statics
Degarmo's Materials And Processes In Manufacturing
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
- The physical model of a pipe containing water with kinematic viscosity o = 0.804 × 10-6 ™* has been built in the scale of in a laboratory. i. Find the ratio of velocity of water in the main pipe with kinematic viscosity of 8 = 2.79 x 10-4 m? to the model. ii. Discuss the difference in the velocities of the model and main pipe.arrow_forwardIn falling ball viscometer experiment, the viscometer with a calibration factor K=0.3 is used to measure the viscosity of oil with density p= 0.8 gr/cm3 and the density of Tantalum ball is 16.6 gr/cm3, if the ball is observed to fall 250 mm in time = 103.3 sec. What is the viscosity of the oil (in cp)?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_forward
- For the capillary-tube viscometer shown, the liquid to be tested is drawn into the tube to the level of the top etched line. The time is then obtained for the liquid to drain to the bottom etched line. The kinematic viscosity, v, in m?/s is then obtained from the equation v = KR*t where K is a constant, R is the radius of the capillary tube in mm, and tis the drain time in seconds. When glycerin, whose viscosity is 1.4 Pa.s at 20°C and density is 260 kg/m³, is used as a calibration fluid in a particular viscometer the drain time is density of 970 kg/m3 is tested in the same viscometer the drain time is 900 s. What is the dynamic viscosity of this liquid? Glass strengthening bridge Etched lines 430 s. When a liquid having a Capillary tubearrow_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_forwardThe device in Fig. is called a cone-plate viscometer. The angle of the cone is very small, so that sin θ ≈ θ ,and the gap is fi lled with the test liquid. The torque M torotate the cone at a rate V is measured. Assuming a linearvelocity profi le in the fl uid fi lm, derive an expression forfl uid viscosity μ as a function of ( M , R , V , θ ).arrow_forward
- The primary dimensions of kinematic viscosity are (a) m·L/t2 (b) m/L·t (c) L2/t (d ) L2/m·t (e) L/m·t2arrow_forwardA 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.arrow_forwardQI// 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_forward
- A concentric cylinder viscometer is driven by a falling mass M connected by a cord and pulley to the inner cylinder. Annular gap of width a and height H has been filled with liquid to be tested. The speed of the falling mass is Vm. Develop an algebraic expression for the viscosity of the liquid. Evaluate the viscosity of the liquid using M= 0.1 Kg, R=50mm, H=80 mm, r=25mm, a=0.20mm and Vm = 94arrow_forward1)The model of the torpedo (a military vehicle that goes very fast underwater) as placed in a tank is moved by being towed at a speed of 14,4 m/s. In the prototype, the torpedo is expected to move at a speed of 4.2 m/s in water at 15°C. The kinematic viscosity of water at the same temperature is v=3.4x10^(-3) m2/s. a) Determine the scale of the model used. b) If the same prototype and the torpedo model, prepared in the same size, is moved in a wind tunnel where u air=1.975x10^(-4) Ns/m2 and p air=22.5 kg/m3 air with physical properties under 10 atmospheres pressure and 26 C° constant temperature are used. What is the speed of the torpedo?arrow_forwardThe torque M required to turn the cone-plate viscometer inFig. depends on the radius R , rotation rate Ω , fl uidviscosity μ , and cone angle θ . Rewrite this relation indimensionless form. How does the relation simplify it if itis known that M is proportional to θ ?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