FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 2810022150991
Author: CENGEL
Publisher: MCG
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Chapter 2, Problem 124P
A large plate is pulled at a constant spend of
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The rotating parts of a hydroelectric power plant having power capacity W . have a rotational synchronous speed n .. The weight of the rotating parts (the hydroturbine and its electric generator) is supported in a thrust bearing having annular form between D and d diameters as sketched. The thrust bearing is operated with a very thin oil film of thickness e and dynamic viscosity ? . It is assumed that the oil is a Newtonian fluid and the velocity is approximated as linear in the bearing. Calculate the ratio of lost power in the thrust bearing to the produced power in the hydraulic power plant. Use W . = 48.6 MW, ? = 0.035 Pa⋅s, n . = 500 rpm, e = 0.25 mm, D = 3.2 m, and d = 2.4 m.
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Chapter 2 Solutions
FLUID MECHANICS FUNDAMENTALS+APPS
Ch. 2 - What is the difference between intensive and...Ch. 2 - For a substance, what is the difference between...Ch. 2 - What is specific gravity? How is it related to...Ch. 2 - The specific weight of a system is defined as the...Ch. 2 - Under what conditions is the ideal-gas assumption...Ch. 2 - What is the difference between R and Ru? How are...Ch. 2 - A 75-L container is filled with 1 kg of air at a...Ch. 2 - A mass of 1-Ibm of argon is maintained at 200 psia...Ch. 2 - What is the specific volume of oxygen at 40 psia...Ch. 2 - A fluid that occupies a volume of 24 L weighs 22 N...
Ch. 2 - The air in an automobile tire with a volume of...Ch. 2 - The pressure in an automobile tire depends on the...Ch. 2 - A spherical balloon with a diameter of 9 m is...Ch. 2 - A cylindrical tank of methanol has a mass of 60kg...Ch. 2 - The combustion in a gasoline engine may be...Ch. 2 - Consider Table 2-1 in the textbook, which lists...Ch. 2 - What is vapor pressure? How is it related to...Ch. 2 - Does water boil at higher temperatures at higher...Ch. 2 - Prob. 22CPCh. 2 - What is cavitation? What causes it?Ch. 2 - Prob. 24EPCh. 2 - A pump is used to transport water to a higher...Ch. 2 - Prob. 26PCh. 2 - Prob. 27CPCh. 2 - List the forms of energy that contribute to the...Ch. 2 - How are heat, internal energy, and thermal energy...Ch. 2 - What is flow energy? Do fluids at rest possess any...Ch. 2 - How do the energies of a flowing fluid and a fluid...Ch. 2 - Using average specific heats, explain how internal...Ch. 2 - Prob. 33CPCh. 2 - Prob. 34EPCh. 2 - Saturated water vapor at 150°C (enthalpy...Ch. 2 - What does the coefficient of volume expansion of a...Ch. 2 - Prob. 37CPCh. 2 - Can the coefficient of compressibility of a fluid...Ch. 2 - Use the coefficient of volume expansion to...Ch. 2 - The volume of an ideal gas is to be reduced by...Ch. 2 - Water at 1 atm pressure is compressed to 400 atm...Ch. 2 - Prob. 42PCh. 2 - Saturated refrigerant-134a liquid at 10C is cooled...Ch. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - The density of seawater at a free surface where...Ch. 2 - Prob. 47EPCh. 2 - A frictionless piston-cylinder device contains 10...Ch. 2 - Reconsider Prob. 2-48. Assuming a bear pressure...Ch. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52CPCh. 2 - Prob. 53CPCh. 2 - In which medium will sound travel fastest for a...Ch. 2 - Prob. 55CPCh. 2 - Prob. 56CPCh. 2 - Prob. 57CPCh. 2 - Is then sonic ve1ocity a specified medium a fixed...Ch. 2 - Prob. 59PCh. 2 - Carbon dioxide enters an adiabatic nozzle at 1200...Ch. 2 - Prob. 61PCh. 2 - Assuming ideal gas behavior, determine the speed...Ch. 2 - Prob. 63PCh. 2 - Steam flows through a device with a pressure of...Ch. 2 - Air expands isentropically from 2.2 MPa 77C to 0.4...Ch. 2 - Repeat Prob. 2-66 for helium gas.Ch. 2 - The Airbus A-340 passenger plane has a maximum...Ch. 2 - Prob. 69CPCh. 2 - What is viscosity? What is the cause of it is...Ch. 2 - How does the kinematic viscosity of (a) liquids...Ch. 2 - Prob. 72CPCh. 2 - The viscosity of a fluid is to be measured by a...Ch. 2 - The dynamic viscosity of carbon dioxide at 50°C...Ch. 2 - Consider the flow of a fluid with viscosity ...Ch. 2 - The viscosity of a fluid is to be measured by a...Ch. 2 - A thin 30cm30cm flat plate is pulled at 3 m/s...Ch. 2 - A rotating viscometer consists of two concentric...Ch. 2 - For flow over a plate, the variation of velocity...Ch. 2 - In regions far from the entrance, fluid flow...Ch. 2 - Repeat Prob. 2-83 for umax=6m/s .Ch. 2 - A frustum-shaped body is rotating at a constant...Ch. 2 - A rotating viscometer consists of two concentric...Ch. 2 - A thin plate moves between two parallel,...Ch. 2 - Prob. 88PCh. 2 - A cylinder of mass m slides down from rest in a...Ch. 2 - What is surface tension” What is its cause? Why is...Ch. 2 - What is the capillary effect? What is its cause?...Ch. 2 - Prob. 92CPCh. 2 - Prob. 93CPCh. 2 - Is the capillary rise greater in small- or...Ch. 2 - Determine the gage pressure inside a soap bubble...Ch. 2 - A2.4-in-diameter soap bubble is to be enlarged by...Ch. 2 - Prob. 97PCh. 2 - Consider a 0.15-mm diameter air bubble a liquid....Ch. 2 - Prob. 99PCh. 2 - A capillary tube of 1.2 mm diameter is immersed...Ch. 2 - Prob. 101EPCh. 2 - Prob. 102PCh. 2 - Contrary to what you might expect, a solid steel...Ch. 2 - Nutrients dissolved in water are carried to upper...Ch. 2 - Consider a 55-cm-long journal bearing that is...Ch. 2 - Prob. 106PCh. 2 - Prob. 107EPCh. 2 - A 10-m3 tank contacts nitrogen at 25C and 800kPa....Ch. 2 - The absolute pressure of an automobile tire is...Ch. 2 - The analysis of a propeller that operates in water...Ch. 2 - A closed tank is partially filled with water at...Ch. 2 - Prob. 112PCh. 2 - A rigid tank contains an ideal gas at 300kPa and...Ch. 2 - The composition of a liquid with suspended solid...Ch. 2 - A newly produced pipe with diameter of 3m and...Ch. 2 - Prove that the coefficient of volume expansion for...Ch. 2 - Although liquids, in general, are hard to...Ch. 2 - Air expands isentropically from 200psia and 240F...Ch. 2 - Prob. 120PCh. 2 - Reconsider Prob. 2-120. The shaft now rotates with...Ch. 2 - Derive a relation for the capillary rise eta...Ch. 2 - A 10-cm diameter cylindrical shaft rotates inside...Ch. 2 - A large plate is pulled at a constant spend of...Ch. 2 - Some rocks or bricks contain small air pockets in...Ch. 2 - A fluid between two very long parallel plates is...Ch. 2 - The rotating parts of a hydroelectric power plant...Ch. 2 - The viscosity of some fluids changes when a strong...Ch. 2 - Prob. 129PCh. 2 - Prob. 130PCh. 2 - Prob. 131PCh. 2 - Oil of viscosity =0.0357Pas and density...Ch. 2 - Prob. 133PCh. 2 - Prob. 134PCh. 2 - Prob. 135PCh. 2 - Prob. 136PCh. 2 - Prob. 137PCh. 2 - Liquid water vaporizes into water vaper as it ?aws...Ch. 2 - In a water distribution system, the pressure of...Ch. 2 - The pressure of water is increased from 100kPa to...Ch. 2 - An ideal gas is compressed isothermally from...Ch. 2 - The variation of the density of a fluid with...Ch. 2 - Prob. 143PCh. 2 - The viscosity of liquids and the viscosity of...Ch. 2 - Prob. 145PCh. 2 - Prob. 146PCh. 2 - Prob. 147PCh. 2 - The dynamic viscosity of air at 20C and 200kPa is...Ch. 2 - A viscometer constructed of two 30-cm -long...Ch. 2 - A 0.6-mm-diameter glass tube is inserted into...Ch. 2 - Prob. 151PCh. 2 - Prob. 152PCh. 2 - Prob. 153PCh. 2 - Prob. 155PCh. 2 - Prob. 156PCh. 2 - Prob. 157PCh. 2 - Evan though steel is about 7 to 8 times denser...
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- A shaft of diameter 74.90mm rotates in a bearing of diameter 75.03mm and of 75mm length. The annular space between the shaft and the bearing is filled with oil having a coefficient of viscosity u = 0.096 Ns/m?. If the shaft rotates at 140 revs/min and the velocity distribution may be assmed linear, which of the following equations are applicable to determine the shear stress developed within the fluid? Select one: O a. Bernoulli's Equation O b. Continuity Equation Oc. Newtons Law of Viscosity O d. Momentum Equation Clear my choice Check For the information given in question 7 determine the distance over which the velocity is assumed to vary linearly. Select one: O a. 0.065mm O b. 0.13mm Oc. 149.93mm O d. 1.00mmarrow_forwardNeed help wuth this engineering problem.arrow_forwardNeed help with this engineering problem.arrow_forward
- An oil film of thickness 1.5 mm is used for lubrication between asquare plate of size 0.9 m × 0.9 m and an inclined plane having anangle of inclination 200. The weight of the square plate is 392.4 N andit slides down the plane with a uniform velocity of 0.2 m/s. Find thedynamic viscosity of the oilarrow_forward(a) The gap between two horizontal plates is 5 mm. The gap is filled with oil of a relative density of 0.88 and a kinematic viscosity of 5 x 104 m?/s. What is the shear stress required to slide the upper plate at a speed of 2.5 m/s over the bottom plate? (b) Seawater of density 1025 kg/m³ and viscosity of 8.9 x 104 Pa-s is flowing through a pipe of 100 mm diameter at a rate of 3.6 litres/minute. Calculate the Reynolds number and state whether the flow is laminar or turbulent. (c) A jet of water with a diameter of 100 mm flows vertically until it meets a solid vane that deflected it at an angle of 180°. The initial velocity of the jet is 20 m/s. As a result of friction, the velocity of the jet leaving the vane is 15 m/s. Assuming the fluid is at atmospheric pressure throughout and neglecting the gravity effects, calculate the magnitude of the force exerted by the water on the vane. (water density 1000 kg/m³)arrow_forwardA hydrodynamic journal bearing is subjected to 2000 N load at a rotational speed of 2000 rpm. Both bearing bore diameter and length are 40 mm. If radial clearance is 20 um and bearing is lubricated with an oil having viscosity 0.03 Pa.s, the Sommerfeld number of the bearing isarrow_forward
- As given in the figure below, a square block weighing 1.1 kN has a 20° inclination and is 0.25 m x It moves on a 6 μm thick oil layer with a 0.25 m surface area. linear Calculate the maximum velocity the block can reach with a flow profile. (μoil = 7 x 10-3 Pa.s)arrow_forward80 F3 Problem #1 A thin 30 cm x 30 cm flat plate is pulled at 6 m/s horizontally through a 3.6 mm thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 0.6 m/s, as shown in the figure below. The dynamic viscosity of the oil is 0.027 Pa's. Assuming the velocity in each oil layer to vary linearly, (a) plot the velocity profile and find the location where the oil velocity is zero and (b) determine the force that needs to be applied on the plate to maintain this motion. Fixed wall $ 4 R 900 F4 % 5 h₁ = 1 mm h₂ = 2.6 mm F5 T 6 Moving wall Sia F6 V = 6 m/s Y & 7 Vw=0.6m/s AA F7 U * F 8 DII F8 1 9 F9 Oarrow_forwardA steel tape 0.5 mm thick and 20 mm wide is pulled by a force ? through a slit opening 1.5 mm and length 15 mm. Considering that the tape is centered on the slit, that lubricating oil of viscosity µ = 0.4 ??-2? fills the gap spaces not occupied by the tape and that the maximum tape speed is 10 m/s, calculate the maximum force ? .arrow_forward
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