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Dimensional Analysis and Similitude
Dimensional analysis and similitude are the topics of this chapter. They are powerful tools in environmental engineering hydraulics, both in concept and as an analytical technique. The value of dimensional analysis lies in two areas. The first is in the design, organization, and maximum utilization of experimental results. The second area lies in the design and maximum utilization of numerical analyses of hydraulic problems, which may be thought of as numerical analogs of experimental studies. By dimensional analysis, the process variables may be expressed as a set of dimensionless groups, with the groups numbering less than the number of variables. The advantages of this reduction to a smaller number of dimensionless variables are twofold: (1) available experimental data may be used to establish a relationship between variables extending beyond the range of the actual data, or, conversely, considerably less experimentation is required to establish the relationship between variables over a desired range; (2) the results of experimental (and sometimes analytical) studies can be presented in much more compact and generalized form. The basic concepts are demonstrated by two particularly useful examples, the first pertaining to the design of ground‐level detention basins and the second to rooftop detention basins.
Dimensional Analysis and Similitude
Dimensional analysis and similitude are the topics of this chapter. They are powerful tools in environmental engineering hydraulics, both in concept and as an analytical technique. The value of dimensional analysis lies in two areas. The first is in the design, organization, and maximum utilization of experimental results. The second area lies in the design and maximum utilization of numerical analyses of hydraulic problems, which may be thought of as numerical analogs of experimental studies. By dimensional analysis, the process variables may be expressed as a set of dimensionless groups, with the groups numbering less than the number of variables. The advantages of this reduction to a smaller number of dimensionless variables are twofold: (1) available experimental data may be used to establish a relationship between variables extending beyond the range of the actual data, or, conversely, considerably less experimentation is required to establish the relationship between variables over a desired range; (2) the results of experimental (and sometimes analytical) studies can be presented in much more compact and generalized form. The basic concepts are demonstrated by two particularly useful examples, the first pertaining to the design of ground‐level detention basins and the second to rooftop detention basins.
Dimensional Analysis and Similitude
Graber, S. David (author)
2024-12-24
20 pages
Article/Chapter (Book)
Electronic Resource
English
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