Thinking Like an Engineer
4th Edition
ISBN: 9781269910989
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: Pearson Learning Solutions
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Chapter 9, Problem 12RQ
- 12. In modeling the flow of liquid in a piping system, you decide to try to develop some dimensionless groups to determine the interaction between variables. You decide the following variables are important:
| Q =Volumetric flowrate | [=] gallons per minute [gal/min] |
| v = Kinematic viscosity | [=] centimeters squared per second [cm2/s] |
| µ = Dynamic viscosity | [=] pascal seconds [Pa s] |
| ρ =Density | [=] kilograms per cubic meter [kg/m3] |
| v = Velocity | [=] feet per second [ft/s] |
| D =Diameter | [=] millimeters [mm] |
| m = Mass of fluid | [=] kilograms [kg] |
Use Rayleigh’s method to determine a set of dimensionless groups.
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(30 pts) Problem 1
A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
mgr
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is applied to the rod. Assume that the bowl is fixed and its rim is in the
horizontal plane.
HINT: It will help you to find the length l of that portion of the rod that remains outside the
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M
2r
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center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to
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Chapter 9 Solutions
Thinking Like an Engineer
Ch. 9.2 - The heat loss (Q/t, in units of joules per second...Ch. 9.2 - Prob. 2CCCh. 9.2 - What are the dimensions of the value 6 in the...Ch. 9.4 - The Euler number is a function of the pressure...Ch. 9 - Prob. 1ICACh. 9 - Prob. 2ICACh. 9 - Prob. 3ICACh. 9 - Prob. 4ICACh. 9 - A fluid with a specific gravity of 0.91 and a...Ch. 9 - Brine, with a density of 1.25 grams per cubic...
Ch. 9 - When a simple turbine is used for mixing, the...Ch. 9 - Prob. 8ICACh. 9 - Prob. 9ICACh. 9 - 1. While researching fluid dynamics, you come...Ch. 9 - 2. While researching fluid dynamics, you came...Ch. 9 - 3. While researching fluid dynamics, you come...Ch. 9 - 4. The Arrhenius number (Ar) is the dimensionless...Ch. 9 - 5. The Biot number (Bi) is the dimensionless...Ch. 9 - 6. A biodegradable fuel having a specific gravity...Ch. 9 - 7. A sludge mixture having a specific gravity of...Ch. 9 - 8. Water (specific gravity = 1.02; viscosity =...Ch. 9 - Prob. 9RQCh. 9 - 10. The Peclet number is used in heat transfer in...Ch. 9 - 11. When a fluid flows slowly across a flat plate...Ch. 9 - 12. In modeling the flow of liquid in a piping...
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