fluid_mechanics

374 Chapter 7 ■ Dimensional Analysis, Similitude, and Modeling
Euler number
Cauchy number
Mach number
Strouhal number
Weber number
Eu
p
rV 2
Ca rV 2
E v
Ma V c
St v/
V
We rV 2 /
s
References
1. Bridgman, P. W., Dimensional Analysis, Yale University Press, New Haven, Conn., 1922.
2. Murphy, G., Similitude in Engineering, Ronald Press, New York, 1950.
3. Langhaar, H. L., Dimensional Analysis and Theory of Models, Wiley, New York, 1951.
4. Huntley, H. E., Dimensional Analysis, Macdonald, London, 1952.
5. Duncan, W. J., Physical Similarity and Dimensional Analysis: An Elementary Treatise, Edward Arnold,
London, 1953.
6. Sedov, K. I., Similarity and Dimensional Methods in Mechanics, Academic Press, New York, 1959.
7. Ipsen, D. C., Units, Dimensions, and Dimensionless Numbers, McGraw-Hill, New York, 1960.
8. Kline, S. J., Similitude and Approximation Theory, McGraw-Hill, New York, 1965.
9. Skoglund, V. J., Similitude—Theory and Applications, International Textbook, Scranton, Pa., 1967.
10. Baker, W. E., Westline, P. S., and Dodge, F. T., Similarity Methods in Engineering Dynamics—Theory
and Practice of Scale Modeling, Hayden 1Spartan Books2, Rochelle Park, N.J., 1973.
11. Taylor, E. S., Dimensional Analysis for Engineers, Clarendon Press, Oxford, 1974.
12. Isaacson, E. de St. Q., and Isaacson, M. de St. Q., Dimensional Methods in Engineering and Physics,
Wiley, New York, 1975.
13. Schuring, D. J., Scale Models in Engineering, Pergamon Press, New York, 1977.
14. Yalin, M. S., Theory of Hydraulic Models, Macmillan, London, 1971.
15. Sharp, J. J., Hydraulic Modeling, Butterworth, London, 1981.
16. Schlichting, H., Boundary-Layer Theory, 7th Ed., McGraw-Hill, New York, 1979.
17. Knapp, R. T., Daily, J. W., and Hammitt, F. G., Cavitation, McGraw-Hill, New York, 1970.
Review Problems
Go to Appendix G for a set of review problems with answers. Detailed
solutions can be found in Student Solution Manual and Study
Guide for Fundamentals of Fluid Mechanics, by Munson et al.
(© 2009 John Wiley and Sons, Inc.).
Problems
Note: Unless otherwise indicated, use the values of fluid properties
found in the tables on the inside of the front cover. Problems
designated with an 1*2 are intended to be solved with the aid
of a programmable calculator or a computer. Problems designated
with a 1†2 are “open-ended” problems and require critical
thinking in that to work them one must make various assumptions
and provide the necessary data. There is not a unique answer
to these problems.
Answers to the even-numbered problems are listed at the
end of the book. Access to the videos that accompany problems
can be obtained through the book’s web site, www.wiley.com/
college/munson. The lab-type problems and FlowLab problems
can also be accessed on this web site.
Section 7.1 Dimensional Analysis
7.1 Obtain a photograph/image of an experimental setup used to investigate
some type of fluid flow phenomena. Print this photo and
write a brief paragraph that describes the situation involved.
7.2 Verify the left-hand side of Eq. 7.2 is dimensionless using the
MLT system.
7.3 The Reynolds number, rVDm, is a very important parameter in
fluid mechanics. Verify that the Reynolds number is dimensionless,
using both the FLT system and the MLT system for basic dimensions,
and determine its value for ethyl alcohol flowing at a velocity
of 3 ms through a 2-in.-diameter pipe.