Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 2, Problem 110EP
Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partly because of the capillary effect. Determine how high the water solution will rise in a tree a 0.0026-mm-diameter tube as a result of the capillary effect. Treat the solution as water at
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Can someone please help me to solve the following question showing all work.
Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partly because of the capillary
effect. Determine how high (in meters) the water solution will rise in a tree in a 0.005-mm-diameter tube as a
result of the capillary effect. Treat the solution as water at 20°C with a contact angle of 15°.
Surface tension of some fluids in
air at 1 atm and 20°C (unless
otherwise stated)
Surface Tension
Fluid
, N/m*
Water:
0°C
0.076
0.073
20°C
100°C
300°C
Glycerin
SAE 30 oil
0.059
0.014
0.063
Mercury
Ethyl alcohol
Blood, 37°C
Gasoline
Ammonia
0.035
0.440
0.023
0.058
0.022
0.021
Soap solution
Kerosene
0.025
0.028
Chapter 2 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 2 - For a substance, what is the difference between...Ch. 2 - What is the difference between intensive and...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 - Prob. 5CPCh. 2 - Under what conditions is the ideal-gas assumption...Ch. 2 - What is the difference between R and Ru? How are...Ch. 2 - A fluid that occupies a volume of 24 L weighs 22 N...Ch. 2 - Prob. 9PCh. 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 - 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 - Prob. 16PCh. 2 - Prob. 18EPCh. 2 - Does water boil at higher temperatures at higher...Ch. 2 - Prob. 22CPCh. 2 - What is cavitation? What causes it?Ch. 2 - What is vapor pressure? How is it related to...Ch. 2 - Prob. 24EPCh. 2 - A pump is used to transport water to a higher...Ch. 2 - Prob. 26PCh. 2 - The analysis of a propeller that operates in water...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 - Prob. 30CPCh. 2 - Prob. 31CPCh. 2 - List the forms of energy that contribute to the...Ch. 2 - How are heat, internal energy, and thermal energy...Ch. 2 - Using average specific heats, explain how internal...Ch. 2 - Prob. 35CPCh. 2 - Saturated water vapor at 150°C (enthalpy...Ch. 2 - Prob. 37CPCh. 2 - What does the coefficient of volume expansion of a...Ch. 2 - Can the coefficient of compressibility of a fluid...Ch. 2 - Water at 15°C and 1 atm pressure is heated to 95°C...Ch. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Water at 1 atm pressure is compressed to 400 atm...Ch. 2 - The volume of an ideal gas is to be reduced by...Ch. 2 - Saturated refrigerant-134a liquid at 10C is cooled...Ch. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - The density of seawater at a free surface where...Ch. 2 - Prob. 49EPCh. 2 - Prob. 50EPCh. 2 - Prob. 51PCh. 2 - The ideal gas equation of state is very simple,...Ch. 2 - A frictionless piston-cylinder device contains 10...Ch. 2 - Reconsider Prob. 2-48. Assuming a bear pressure...Ch. 2 - Prob. 55CPCh. 2 - Prob. 56CPCh. 2 - Prob. 57CPCh. 2 - Prob. 58CPCh. 2 - Prob. 59CPCh. 2 - Prob. 60CPCh. 2 - Is then sonic ve1ocity a specified medium a fixed...Ch. 2 - The Airbus A-340 passenger plane has a maximum...Ch. 2 - Carbon dioxide enters an adiabatic nozzle at 1200...Ch. 2 - Prob. 64PCh. 2 - Assuming ideal gas behavior, determine the speed...Ch. 2 - Prob. 66PCh. 2 - Steam flows through a device with a pressure of...Ch. 2 - Prob. 69EPCh. 2 - Air expands isentropically from 2.2 MPa 77C to 0.4...Ch. 2 - Repeat Prob. 2-66 for helium gas.Ch. 2 - Prob. 72PCh. 2 - What is viscosity? What is the cause of it is...Ch. 2 - Prob. 74CPCh. 2 - How does the kinematic viscosity of (a) liquids...Ch. 2 - Prob. 76CPCh. 2 - Prob. 77CPCh. 2 - The viscosity of a fluid is to be measured by a...Ch. 2 - Consider the flow of a fluid with viscosity ...Ch. 2 - A thin 30cm30cm flat plate is pulled at 3 m/s...Ch. 2 - A rotating viscometer consists of two concentric...Ch. 2 - The dynamic viscosity of carbon dioxide at 50°C...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 large plate is pulled at a constant speed of U =...Ch. 2 - A cylinder of mass m slides down from rest in a...Ch. 2 - A thin plate moves between two parallel,...Ch. 2 - Prob. 95PCh. 2 - What is surface tension” What is its cause? Why is...Ch. 2 - Prob. 97CPCh. 2 - What is the capillary effect? What is its cause?...Ch. 2 - Prob. 99CPCh. 2 - Is the capillary rise greater in small- or...Ch. 2 - Prob. 101PCh. 2 - A2.4-in-diameter soap bubble is to be enlarged by...Ch. 2 - Prob. 103PCh. 2 - Determine the gage pressure inside a soap bubble...Ch. 2 - A 0.03-in-diameter glass tube is inserted into...Ch. 2 - Prob. 106PCh. 2 - A capillary tube of 1.2 mm diameter is immersed...Ch. 2 - Prob. 108PCh. 2 - Contrary to what you might expect, a solid steel...Ch. 2 - Nutrients dissolved in water are carried to upper...Ch. 2 - Prob. 111PCh. 2 - Consider a 55-cm-long journal bearing that is...Ch. 2 - Prob. 113PCh. 2 - Prob. 114PCh. 2 - A rigid tank contains an ideal gas at 300kPa and...Ch. 2 - The absolute pressure of an automobile tire is...Ch. 2 - The composition of a liquid with suspended solid...Ch. 2 - Prob. 119PCh. 2 - A 10-m3 tank contacts nitrogen at 25C and 800kPa....Ch. 2 - Prob. 123PCh. 2 - Although liquids, in general, are hard to...Ch. 2 - Prob. 125PCh. 2 - Prob. 126PCh. 2 - Prob. 127PCh. 2 - Reconsider Prob. 2-120. The shaft now rotates with...Ch. 2 - A 10-cm diameter cylindrical shaft rotates inside...Ch. 2 - Some rocks or bricks contain small air pockets in...Ch. 2 - Prob. 131PCh. 2 - Prob. 132PCh. 2 - Prob. 133PCh. 2 - Prob. 134PCh. 2 - Liquid water vaporizes into water vaper as it ?aws...Ch. 2 - In a water distribution system, the pressure of...Ch. 2 - Prob. 137PCh. 2 - The difference between the energies of a flowing...Ch. 2 - Prob. 139PCh. 2 - An ideal gas is compressed isothermally from...Ch. 2 - Prob. 141PCh. 2 - Prob. 142PCh. 2 - Prob. 143PCh. 2 - Water is compressed from 100 kPa to 5000 kPa at...Ch. 2 - Prob. 145PCh. 2 - The dynamic viscosity of air at 20C and 200kPa is...Ch. 2 - A viscometer constructed of two 30-cm -long...Ch. 2 - Prob. 148PCh. 2 - Prob. 149PCh. 2 - Prob. 150PCh. 2 - Prob. 151PCh. 2 - Prob. 152PCh. 2 - Prob. 153PCh. 2 - Prob. 154PCh. 2 - Evan though steel is about 7 to 8 times denser...
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