Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Question
Chapter 9, Problem 113P
To determine
The expression for volume flow rate per unit width.
The required speed for which the volume flow rate of oil is negligible.
The value of the required speed.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
1) The velocity profile of a viscus fluid over a plate is parabolie with vertex 25 em from the
plate ,where the velocity 125 cm/s. calculate the velocity gradient and shear stress at
distance of (0, 5, 15 and 25 cm) from the plate given the viscosity of the fluid =7 poise ?
Also draw the figure explain the relationship between the velocity gradient and shear
stress.
Take velocity profile for parabolic equation, (v = ay + by + c)
P1 A thin layer of water flows down a plate inclined to the horizontal with an angle
a = 15° in the shown coordinate system. If the thickness of the water layer is
a=0.5 mm, assuming that the flow is laminar and incompressible, (water density
p = 1000 kg/m³viscosity µ = 0.001 Pa.s and acceleration of gravity g =
9.81 m/s²) and an air flow shears the layer in a direction opposite to its flow with
a shear stress of 1 N /m². Solve the Navier-Stokes equation:
air
water
(a) to find the value of the maximum water velocity in m/s to three decimal
points,
Answer:
(b)and to find the value of water velocity at the layer's surface in m/s to three
decimal points,
Answer:
Compute the
b Am? when the lower plate
Steady skte momentum Flex Ey>
momentum Ilex ty
Velscity v in the
Figure beloo is 0.804n/s s the pasitive
X-directan, the Separation Y s o 304mm, md
the fluid viscosity N is o7cP
Naly)
Longe t
Final uelociny
distribution in
teady Flow
Chapter 9 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 9 - Explain the fundamental differences between a flow...Ch. 9 - What does it mean when we say that two more...Ch. 9 - The divergence theorem is v.cdv=A c . n dACh. 9 - Prob. 4CPCh. 9 - Prob. 5CPCh. 9 - Prob. 6CPCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Let vector G=2xzi12x2jz2kk . Calculate the...Ch. 9 - Prob. 10P
Ch. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Alex is measuring the time-averaged velocity...Ch. 9 - Let vector c be given G=4xziy2i+yzkand let V be...Ch. 9 - The product rule can be applied to the divergence...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 20CPCh. 9 - In this chapter we derive the continuity equation...Ch. 9 - Repeat Example 9-1(gas compressed in a cylinder by...Ch. 9 - Consider the steady, two-dimensional velocity...Ch. 9 - The compressible from of the continuity equation...Ch. 9 - In Example 9-6 we derive the equation for...Ch. 9 - Consider a spiraling line vortex/sink flow in the...Ch. 9 - Verify that the steady; two-dimensional,...Ch. 9 - Consider steady flow of water through an...Ch. 9 - Consider the following steady, three-dimensional...Ch. 9 - Consider the following steady, three-dimensional...Ch. 9 - Two velocity components of a steady,...Ch. 9 - Imagine a steady, two-dimensional, incompressible...Ch. 9 - The u velocity component of a steady,...Ch. 9 - Imagine a steady, two-dimensional, incompressible...Ch. 9 - The u velocity component of a steady,...Ch. 9 - What is significant about curves of constant...Ch. 9 - In CFD lingo, the stream function is often called...Ch. 9 - Prob. 39CPCh. 9 - Prob. 40CPCh. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - As a follow-up to Prob. 9-45, calculate the volume...Ch. 9 - Consider the Couette flow of Fig.9-45. For the...Ch. 9 - Prob. 48PCh. 9 - AS a follow-up to Prob. 9-48, calculate the volume...Ch. 9 - Consider the channel flow of Fig. 9-45. The fluid...Ch. 9 - In the field of air pollution control, one often...Ch. 9 - Suppose the suction applied to the sampling...Ch. 9 - Prob. 53PCh. 9 - Flow separates at a shap corner along a wall and...Ch. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 58PCh. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Prob. 63EPCh. 9 - Prob. 64PCh. 9 - Prob. 65EPCh. 9 - Prob. 66PCh. 9 - Prob. 68EPCh. 9 - Prob. 69PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 75PCh. 9 - Wht in the main distionction between Newtormine...Ch. 9 - Prob. 77CPCh. 9 - What are constitutive equations, and to the fluid...Ch. 9 - An airplane flies at constant velocity Vairplane...Ch. 9 - Define or describe each type of fluid: (a)...Ch. 9 - The general cool volume from of linearmomentum...Ch. 9 - Consider the steady, two-dimensional,...Ch. 9 - Consider the following steady, two-dimensional,...Ch. 9 - Consider the following steady, two-dimensional,...Ch. 9 - Consider liquid in a cylindrical tank. Both the...Ch. 9 - Engine oil at T=60C is forced to flow between two...Ch. 9 - Consider steady, two-dimensional, incompressible...Ch. 9 - Consider steady, incompressible, parallel, laminar...Ch. 9 - Prob. 89PCh. 9 - Prob. 90PCh. 9 - Prob. 91PCh. 9 - The first viscous terms in -comonent of the...Ch. 9 - An incompressible Newtonian liquid is confined...Ch. 9 - Prob. 94PCh. 9 - Prob. 95PCh. 9 - Prob. 96PCh. 9 - Prob. 97PCh. 9 - Consider steady, incompressible, laminar flow of a...Ch. 9 - Consider again the pipe annulus sketched in Fig...Ch. 9 - Repeat Prob. 9-99 except swap the stationary and...Ch. 9 - Consider a modified form of Couette flow in which...Ch. 9 - Consider dimensionless velocity distribution in...Ch. 9 - Consider steady, incompressible, laminar flow of a...Ch. 9 - Prob. 104PCh. 9 - Prob. 105PCh. 9 - Prob. 106PCh. 9 - Prob. 107CPCh. 9 - Prob. 108CPCh. 9 - Discuss the relationship between volumetric strain...Ch. 9 - Prob. 110CPCh. 9 - Prob. 111CPCh. 9 - Prob. 112PCh. 9 - Prob. 113PCh. 9 - Look up the definition of Poisson’s equation in...Ch. 9 - Prob. 115PCh. 9 - Prob. 116PCh. 9 - Prob. 117PCh. 9 - For each of the listed equation, write down the...Ch. 9 - Prob. 119PCh. 9 - Prob. 120PCh. 9 - A block slides down along, straight inclined wall...Ch. 9 - Water flows down a long, straight, inclined pipe...Ch. 9 - Prob. 124PCh. 9 - Prob. 125PCh. 9 - Prob. 126PCh. 9 - Prob. 128PCh. 9 - The Navier-Stokes equation is also known as (a)...Ch. 9 - Which choice is not correct regarding the...Ch. 9 - In thud flow analyses, which boundary condition...Ch. 9 - Which choice is the genera1 differential equation...Ch. 9 - Which choice is the differential , incompressible,...Ch. 9 - A steady, two-dimensional, incompressible flow...Ch. 9 - A steady, two-dimensional, incompressible flow...Ch. 9 - A steady velocity field is given by...Ch. 9 - Prob. 137P
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
- At a point in a pipe that lay flat ノ water in the pipe flows at a speed of 9.0 mls and has 6-40x 104 Pa a gaoge pressure is Find the gauge pressure at point 2 of pipe that lower than the first point 8.0 m and the cvoss - se ctional| area of the pipe is double of first point . Answer [1.52x105 Pa]arrow_forwardTwo infinite plates a distance h apart are parallel to the xzplane with the upper plate moving at speed V, as inFig. There is a fluid of viscosity μ and constant pressurebetween the plates. Neglecting gravity and assumingincompressible turbulent flow u(y) between the plates, usethe logarithmic law and appropriate boundary conditions toderive a formula for dimensionless wall shear stress versusdimensionless plate velocity. Sketch a typical shape of theprofile u(y).arrow_forwardIn a wind tunnel lab, the pitot tube is located at the height of 2 m, the measured static pressure P=1.0 Pa, total pressure P₁-88 Pa, if we assume the flow in the test section follow the profile of exponential function with a-0.22. Please calculated the wind velocity at the height of 1m. p=1.22kg/m³. (continued 1) Measured pressures at points A, B and C as follows: P-25 Pa, P=-55 Pa, P=-43 Pa, please calculate the wind pressure coefficients based on the reference wind velocity pressure at 1 m. A Carrow_forward
- he velocity at apoint in aflued for one-dimensional Plow wmay be aiven in The Eutkerian coordinater by U=Ax+ Bt, Show That X Coordinates Canbe obtained from The Eulerian system. The intial position by Xo and The intial time to zo man be assumeal · 1. x = foxo, yo) in The Lagrange of The fluid parficle is designatedarrow_forwardRead the question carefully and give me right solution according to the question. If you don't know the solution please leave it. The following cases represent the two velocity components, determine the third component of velocity such that they satisfy the continuity equationu =4x2 + 3xy, w= z3 - 4xy - 2yz.arrow_forward338 B/s O 1: 56% E 3:01 Question: Gasoline is flowing through this 180° pipe bend. The pipe cross-sectional area is 18 in?. Take the pipe weight as 5 Kg. Flow rate is 0.5 liters/s. Pressure at section-1 6 psia, pressure at section-2 is 4 psia. Calculate the anchoring force required to hold this pipe and also show its direction, referenced to proper 2-dimensional a cartesian coordinate system. (2 1arrow_forward
- Laminar Flow in a Vertical Cylindrical Annulus Derive the equation for steady-state laminar flow inside the annulus between two concentric vertical pipes. This type of flow occurs often in concentric pipe heat exchangers. max velocity profilearrow_forwardEngine oil at 60°C rotates as a rigid body about the z-axis in a spinning cylindrical container. There are no viscous stresses since the water moves as a solid body; thus the Euler equation is appropriate. (We neglect viscous stresses caused by air acting on the water surface.) Integrate the Euler equation to generate an expression for pressure as a function of r and z everywhere in the water. Write an equation for the shape of the free surface (zsurface as a function of r). (Hint: P = Patm everywhere on the free surface. The flow is rotationally symmetric about the z-axis.)arrow_forwardThe velocity axis flow function of the ideal fluid for flow in the plane,It is given as (given equation in the picture). It shows the main interactions in units of x and y meters. a) Determine the velocity components of the flow and determine if flow is physically possible? b) Calculate the pressure difference between points A (2, 2) and B (3, 3). c) Calculate the unit width flow (q) passing between the points A (2, 2 ) and B (3, 3). (given equation in the picture). Thank you indeed.arrow_forward
- Oil flows between two very long parallel plates, separated from H, with width b. The bottom plate moves with speed U and is isolated. The upper plate is at rest and receives heat from the environment at a rate equal to qs". Consider laminar flow, thermally developed. Due to the high viscosity of the fluid, viscous dissipation is relevant U isolada 1 - Estimate the velocity profile considering the null pressure gradient and determine the average speed. 2. Determine dissipation per volume unit. 3. Set mixing temperature and determine the mixing temperature variation over the plates.arrow_forwardFluid Mechanics II Sheet NO (04) Damietta University Faculty of Engineering Mechanical Engineering Dept. FACULTY OF ENGINEERING DAMIETTA UNIVERSIm bluas daola-dunigil us 3- Fluid flow between two horizontal infinite parallel plates with a spacing of H mm shown in figure 3. Determine the volume flow rate per width and the shear stress on upper and lower plates. U2 , draw the velocity profile distribution. U1 Moving plate H Moving plate U2 Figure 3 , a tornado can be approximated As illustrated in Fig. 4 by a free vortex of strength I' for r > Re, where R̟ is the radius of the core. Velocity measurements at points A and B indicate that V = 125 ft/s and V3 = 60 ft/s. Determine the distance from point A to the center of the tornado. Why can the free vortex model not be used to approximate the tornado throughout the flow field (r > 0)? 4- B +100 ft- Figure 4arrow_forward1 ] Water flow through a pipe with diameter dwater = 0.05 m with a velocity of Vwater = 2 m/s, while oil flows through a parallel pipe with a velocity Voil = 8 m/s. Determine the diameter of the oil pipe (doil= ?) so that both fluids have the same dynamic characteristics. The temperature of the water and oil is 20°C. Properties: For the fluids at T = 20°C, poil = 880 kg/m³, pwater = 998.3 kg/m³, oil = 30.2x10-³ Ns/m² and water = 1.00×10³ Ns/m². 50 mm Darrow_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 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
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
Lesson 2: Thermodynamic Properties; Author: The Thermo Sage;https://www.youtube.com/watch?v=qA-xwgliPAc;License: Standard Youtube License