Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 9, Problem 61P
To determine
(a)
The expression for the velocity component
The expression for the velocity component
To determine
(b)
That the flow field satisfies the in compressible continuity.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(read image, answer given)
6/86 The connecting rod AB of a certain internal-combustion engine weighs 1.2 lb with mass center at G
and has a radius of gyration about G of 1.12 in. The piston and piston pin A together weigh 1.80 lb. The
engine is running at a constant speed of 3000 rev/min, so that the angular velocity of the crank is
3000(2)/60 = 100л rad/sec. Neglect the weights of the components and the force exerted by the gas in
the cylinder compared with the dynamic forces generated and calculate the magnitude of the force on the
piston pin A for the crank angle 0 = 90°. (Suggestion: Use the alternative moment relation, Eq. 6/3, with B
as the moment center.)
Answer
A = 347 lb
3"
1.3"
B
1.7"
PROBLEM 6/86
6/85 In a study of head injury against the instrument panel of a car during sudden or crash stops where
lap belts without shoulder straps or airbags are used, the segmented human model shown in the figure is
analyzed. The hip joint O is assumed to remain fixed relative to the car, and the torso above the hip is
treated as a rigid body of mass m freely pivoted at O. The center of mass of the torso is at G with the initial
position of OG taken as vertical. The radius of gyration of the torso about O is ko. If the car is brought to a
sudden stop with a constant deceleration a, determine the speed v relative to the car with which the
model's head strikes the instrument panel. Substitute the values m = 50 kg, 7 = 450 mm, r = 800 mm, ko
= 550 mm, 0 = 45°, and a = 10g and compute v.
Answer
v = 11.73 m/s
PROBLEM 6/85
Chapter 9 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 9 - The divergence theorem is v.cdv=A c . n dACh. 9 - Explain the fundamental differences between a flow...Ch. 9 - What does it mean when we say that two more...Ch. 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. 11P
Ch. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 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 - In this chapter we derive the continuity equation...Ch. 9 - Prob. 22PCh. 9 - Repeat Example 9-1(gas compressed in a cylinder by...Ch. 9 - The compressible from of the continuity equation...Ch. 9 - In Example 9-6 we derive the equation for...Ch. 9 - Verify that the spiraling line vortex/sink flow in...Ch. 9 - Verify that the steady; two-dimensional,...Ch. 9 - Prob. 28PCh. 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 - The u velocity component of a steady,...Ch. 9 - Imagine a steady, two-dimensional, incompressible...Ch. 9 - Prob. 34PCh. 9 - The u velocity component of a steady,...Ch. 9 - Imagine a steady, two-dimensional, incompressible...Ch. 9 - Two velocity components of a steady,...Ch. 9 - Prob. 39CPCh. 9 - In CFD lingo, the stream function is often called...Ch. 9 - Prob. 41CPCh. 9 - What is significant about curves of constant...Ch. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 46PCh. 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. 49PCh. 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. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57PCh. 9 - Prob. 58PCh. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - Prob. 64EPCh. 9 - Prob. 65PCh. 9 - Prob. 66EPCh. 9 - Flow separates at a shap corner along a wall and...Ch. 9 - Prob. 69PCh. 9 - Prob. 70EPCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 74PCh. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - Prob. 77PCh. 9 - Prob. 78CPCh. 9 - What are constitutive equations, and to the fluid...Ch. 9 - An airplane flies at constant velocity Vairplane...Ch. 9 - Wht in the main distionction between Newtormine...Ch. 9 - Define or describe each type of fluid: (a)...Ch. 9 - The general cool volume from of linearmomentum...Ch. 9 - Consider liquid in a cylindrical tank. Both the...Ch. 9 - Prob. 85PCh. 9 - Engine oil at T=60C is forced to flow between two...Ch. 9 - Consider the steady, two-dimensional,...Ch. 9 - Consider the following steady, two-dimensional,...Ch. 9 - Consider steady, two-dimensional, incompressible...Ch. 9 - Consider the following steady, two-dimensional,...Ch. 9 - Consider steady, incompressible, parallel, laminar...Ch. 9 - Prob. 92PCh. 9 - Prob. 93PCh. 9 - Prob. 94PCh. 9 - The first viscous terms in -comonent of the...Ch. 9 - An incompressible Newtonian liquid is confined...Ch. 9 - Prob. 97PCh. 9 - Prob. 98PCh. 9 - Prob. 99PCh. 9 - Prob. 100PCh. 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 steady, incompressible, laminar flow of a...Ch. 9 - Prob. 106PCh. 9 - Prob. 107PCh. 9 - Prob. 108CPCh. 9 - Prob. 109CPCh. 9 - Prob. 110CPCh. 9 - Prob. 111CPCh. 9 - Discuss the relationship between volumetric strain...Ch. 9 - Prob. 113PCh. 9 - Prob. 114PCh. 9 - Prob. 116PCh. 9 - Prob. 117PCh. 9 - Prob. 118PCh. 9 - Prob. 119PCh. 9 - For each of the listed equation, write down the...Ch. 9 - Prob. 121PCh. 9 - Prob. 122PCh. 9 - A block slides down along, straight inclined wall...Ch. 9 - Look up the definition of Poisson’s equation in...Ch. 9 - Water flows down a long, straight, inclined pipe...Ch. 9 - Prob. 127PCh. 9 - Prob. 128PCh. 9 - The Navier-Stokes equation is also known as (a)...Ch. 9 - Which choice is the genera1 differential equation...Ch. 9 - Which choice is the differential , incompressible,...Ch. 9 - A steady velocity field is given by...Ch. 9 - A steady, two-dimensional, incompressible flow...Ch. 9 - A steady, two-dimensional, incompressible flow...Ch. 9 - Prob. 135PCh. 9 - Prob. 136PCh. 9 - Which choice is not correct regarding the...Ch. 9 - In thud flow analyses, which boundary condition...
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
- Using AutoCADarrow_forward340 lb 340 lb Δarrow_forward4. In a table of vector differential operators, look up the expressions for V x V in a cylindrical coordinate system. (a) Compute the vorticity for the flow in a round tube where the velocity profile is = vo [1-(³] V₂ = Vo (b) Compute the vorticity for an ideal vortex where the velocity is Ve= r where constant. 2πг (c) Compute the vorticity in the vortex flow given by Ve= r 2лг 1- exp ( r² 4vt (d) Sketch all the velocity and vorticity profiles.arrow_forward
- In the figure, Neglects the heat loss and kinetic and potential energy changes, calculate the work produced by the turbine in kJ T = ??? Steam at P=3 MPa, T = 280°C Turbine Rigid tank V = 1000 m³ Turbine Rigid tank V = 100 m³ V = 1000 m³ V = 100 m³ The valve is opened. Initially: evacuated (empty) tank O a. 802.8 Initially: Closed valve O b. 572 O c. 159.93 Od. 415 e. 627.76 equilibriumarrow_forwardPlease find the torsional yield strength, the yield strength, the spring index, and the mean diameter. Use: E = 28.6 Mpsi, G = 11.5 Mpsi, A = 140 kpsi·in, m = 0.190, and relative cost= 1.arrow_forwardA viscoelastic column is made of a material with a creep compliance of D(t)= 0.75+0.5log10t+0.18(log10t)^2 GPA^-1 for t in s. If a constant compressive stress of σ0 = –100 MPa is applied at t = 0, how long will it take (= t1/2) for the height of the column to decrease to ½ its original value? Note: You will obtain multiple answers for this problem! One makes sense physically and one does not.arrow_forward
- A group of 23 power transistors, dissipating 2 W each, are to be cooled by attaching them to a black-anodized square aluminum plate and mounting the plate on the wall of a room at 30°C. The emissivity of the transistor and the plate surfaces is 0.9. Assuming the heat transfer from the back side of the plate to be negligible and the temperature of the surrounding surfaces to be the same as the air temperature of the room, determine the length of the square plate if the average surface temperature of the plate is not to exceed 50°C. Start the iteration process with an initial guess of the size of the plate as 43 cm. The properties of air at 1 atm and the film temperature of (Ts + T)/2 = (50 + 30)/2 = 40°C are k = 0.02662 W/m·°C, ν = 1.702 × 10–5 m2 /s, Pr = 0.7255, and β = 0.003195 K–1. Multiple Choice 0.473 m 0.284 m 0.513 m 0.671 marrow_forwardA 40-cm-diameter, 127-cm-high cylindrical hot water tank is located in the bathroom of a house maintained at 20°C. The surface temperature of the tank is measured to be 44°C and its emissivity is 0.4. Taking the surrounding surface temperature to be also 20°C, determine the rate of heat loss from all surfaces of the tank by natural convection and radiation. The properties of air at 32°C are k=0.02603 W/m-K, v=1.627 x 10-5 m²/s, Pr = 0.7276, and ẞ = 0.003279 K-1 The rate of heat loss from all surfaces of the tank by natural convection is The rate of heat loss from all surfaces of the tank by radiation is W. W.arrow_forwardA 2.5-m-long thin vertical plate is subjected to uniform heat flux on one side, while the other side is exposed to cool air at 5°C. The plate surface has an emissivity of 0.73, and its midpoint temperature is 55°C. Determine the heat flux subjected on the plate surface. Uniform heat flux -Plate, € = 0.73 Cool air 5°C 7 TSUIT Given: The properties of water at Tf,c= 30°C. k=0.02588 W/m.K, v=1.608 x 10-5 m²/s Pr = 0.7282 The heat flux subjected on the plate surface is W/m²arrow_forward
- Hot water is flowing at an average velocity of 5.82 ft/s through a cast iron pipe (k=30 Btu/h-ft-°F) whose inner and outer diameters are 1.0 in and 1.2 in, respectively. The pipe passes through a 50-ft-long section of a basement whose temperature is 60°F. The emissivity of the outer surface of the pipe is 0.5, and the walls of the basement are also at about 60°F. If the inlet temperature of the water is 150°F and the heat transfer coefficient on the inner surface of the pipe is 30 Btu/h-ft².°F, determine the temperature drop of water as it passes through the basement. Evaluate air properties at a film temperature of 105°C and 1 atm pressure. The properties of air at 1 atm and the film temperature of (Ts+ T∞)/2 = (150+60)/2 = 105°F are k=0.01541 Btu/h-ft-°F. v=0.1838 × 10-3 ft2/s, Pr = 0.7253, and ẞ = 0.00177R-1arrow_forwardhand-written solutions only, please. correct answers upvoted!arrow_forwardhand-written solutions only, please. correct answers upvoted!arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Introduction to Kinematics; Author: LearnChemE;https://www.youtube.com/watch?v=bV0XPz-mg2s;License: Standard youtube license