Connect with LearnSmart for Anderson: Fundamentals of Aerodynamics, 6e
6th Edition
ISBN: 9781259683268
Author: Anderson, John
Publisher: Mcgraw-hill Higher Education (us)
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 15, Problem 15.2P
Assume that the two parallel plates in Problem 15.1 are both stationary but that a constant pressure gradient exists in the flow direction (i.e.,
a. Obtain an expression for the variation of velocity between the plates.
b. Obtain an expression for the shear stress on the plates in terms of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1. An 80 mm schedule 40 steel pipe is 1800 m long and carries a lubricating oil between 2 points A and B such that the Reynolds number is 1200. Point B is 10 m higher than point A. The oil has a specific gravity of 0.85 and dynamic viscosity of 6.51 X 10-1 Pa.s. If the pressure at A is 345 KPa, calculate the pressure @ B.
2. Determine the energy loss for a sudden contraction from a 4 in schedule 80 steel pipe to a 1.5 in schedule 80 pipe for a flow rate of 250 gal/min.
3. Determine the equivalent length in meters of pipe of a quarter open gate valve placed in a DN 250 schedule 40 pipe.
B1. A water with viscosity 11.4x103 poise is flowing through a pipe of diameter 300 mm
at the rate of 375 litres per sec.
Find the Reynold's Number & the head lost due to friction in the pipe of length 1.5 km.
The velocity of flow of water (in m/s) is
The value of Reynold's Number is
The frictional loss in the pipe (in m) is
1. Derive an expression for the velocity distribution for viscous flow through a circular pipe. Also sketch the
velocity distribution and shear stress distribution across a section of the pipe.
Chapter 15 Solutions
Connect with LearnSmart for Anderson: Fundamentals of Aerodynamics, 6e
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
- 6. A hydraulic lift (see below) of the type commonly used for greasing automobiles consists of a 280.00 mm diameter ram which slides in a 280.18 mm-diameter cylinder, the annular space being filled with oil film of thickness t = 0.09 mm, having a viscosity 0.3612 kg/(m s). If the rate of travel of the ram is v= 0.22 m/s, find the frictional resistance when 2 m of the ram is engaged in the cylinder. Take the weight of ram as 500 N. Ram Oil film -Fixed cylinderarrow_forwardExample 4: If the diameter at section 1 is D₁ = 0.5 m, and at section 2 the diameter D₂ = 0.2 m. All the other conditions are the same as in Exercise #3. What power in kilowatts and in horsepower must be supplied to the flow by the pump? Assume h₁ = 3 m of water and a₁ = α₂ = 1. Water is being pumped through a system. D₁ = 0.5 m Z₁ = 30 m P₁ = 70 kPa gage α₁ = 1.0 1 Pump Sual Z₂ = 40 m P2 = 350 kPa gage %₂ = 1.0 D₂ = 0.2 m Head loss in pipe = 3 m Water Q = 0.5 m³/s Properties: Water (10°C, 1 atm, Table A.5): y = 9810 N/m³arrow_forward8. A shaft 70 mm diameter is pushed at a speed of 450 mm/s through a bearing sleeve 73 mm in diameter and 252 mm long. The clearance , assumed uniform, is filled with at 20OC with v= 0.005 m2/ s ang s.g. = 0.9. find the force exerted by the oil on the shaft. (3 DECIMAL PLACES IN FINAL ANSWER PLS)arrow_forward
- A pump is used in a building to lift water from a ground floor. The pump is pushing 60l/sec of water through a 0.1m diameter to above floor which is 5m high If the average velocity in the pipe is 6m/s. what will major energy loss if the dynamic viscosity of water is 8.9 x 10-4s. Due to vibration and noise issue in a pipe the velocity of pump is decided to set at 2.5 m/s. What will new major energy? Calculate the minor energy loss if length of the pipe is 15m. use f = 0.03, = 1, = 0.9 Analyse the relationship between frictional energy loss under different gravitational flow conditionsarrow_forward5.73 Assume the liquid film in Example 5.9 is horizontal (i.e., 0 = 0°) and that the flow is driven by a constant shear stress on the top surface (y= h), Tyx= C. Assume that the liquid film is thin enough and flat and that the flow is fully devel- oped with zero net flow rate (flow rate Q= 0). Determine the velocity profile u(y) and the pressure gradient dp/dx. h = 1 mm 0 = 15° Width b = 1 marrow_forward5.4 A liquid, density 801 kg/m³ and viscosity 1.49 cp, is flowing in a horizontal pipe at a velocity of 4.5 m/s. If the diameter of a steel pipe is 2½ in, and its length is 65 m (a) Calculate the friction losses (b) Calculate the friction losses if the pipe is considered as a smooth pipe. Determine the percentage decrease in friction losses.arrow_forward
- Problem 3. Outcome 5. Please show all work. Air at standard pressure but with T= 50°C flows through the ducting system shown in the figure. The gauge measures the pressure difference between the downstream and upstream points. All duct sections have circular cross section. Use the following geometry: D₁ = 60 mm, D, = 200 mm, L= 2 m. At this temperature, ai = 1.95 x 10-5 kg/m-s. Also recall that Rai = 287 J/kg-K. The center pipe is smooth with e0. Ap Voo D2 L D₁ Dz Figure for problem 3. The velocity entering the system, Voo; is measured to be 20 m/s. Estimate the Ap = Pdownstream Pupstream measured by the pressure gauge.arrow_forward2.4-2. Shear Stress and Shear Rate in Fluids. Using Fig. 2.4-1, the lower plate is being pulled at a relative velocity of 0.40 m/s greater than the top plate. The fluid used is water at 24°C. a. How far apart should the two plates be placed so that the shear stress t is 0.30 N/m^2? Also, calculate the shear rate. b. If oil with a viscosity of 2.0 x 10^-2 Pa•s is used instead at the same plate spacing and velocity as in part (a), what is the shear stress and the shear rate?arrow_forward4. A crude oil of viscosity 0.9 poise and sp. gr. 0.8 is flowing through a horizontal circular pipe of diameter 80 mm and of length 15 m. Calculate the difference of pressure at the two ends of the pipe, if 50 kg of the oil is collected in a tank in 15 seconds.arrow_forward
- A differential pitot tube located at the center of a cylindrical air tube produces 2.6 in. of water pressure. What is the velocity at the impact end of the pitot tube? The impact gauge reads 2.6, 2.6, 2.5, 2.1, 1.8 when placed at points 1-5 in Fig. 3.10. What is the average velocity in the tube? What factor would be applied to the center reading to indi- cate a true average velocity? Note: In actual practice it would be necessary to check this factor through the entire range of velocities to be encountered, because variation may be expected.arrow_forwardAt high flow rates the pressure drop increases directly with fluid velocity.TRUE OR FALSE Fluid’s speed must therefore be matched by a decreaseal in its pressure. Select one: True False The viscosity of a fluid is not related to the pumping power needed to transport a fluid in a pipe or to move a body (such as a car in air or a submarine in the sea) through a fluid. Select one: True False Equilibrium condition is important in Buoyancy. Select one: True Falsearrow_forwardQ2\ The diagram shows a tank draining into another lower tank through a pipe, both tanks are open. Calculate the velocity, using the data given on the diagram. k = 0.5 20 m k = 1 50 mm bore, 50 m long f = 0.007arrow_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
8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure; Author: Lectures by Walter Lewin. They will make you ♥ Physics.;https://www.youtube.com/watch?v=O_HQklhIlwQ;License: Standard YouTube License, CC-BY
Dynamics of Fluid Flow - Introduction; Author: Tutorials Point (India) Ltd.;https://www.youtube.com/watch?v=djx9jlkYAt4;License: Standard Youtube License