Dimensional Analysis is a technique that has allowed engineering evaluation
of complex objects by scaling analysis results of representative simpler
models. The original premise of the procedure stems from the idea of developing
non-dimensional parameters to relate physical events and underlying
analytical basis. Extending the process to incorporate non-linear and time
variant behavior has led to development of a novel process of similitude called
the Empirical Similitude Method (ESM) where experimental data of test specimen
is combined to produce the required prediction values.
Using the original motivation and hypothesis of ESM, this research has expanded the experimental similitude process by using adapted matrix
representations and continuous functional mapping of test results. This new
approach has provided more rigorous mathematical definitions for similarity
and prediction estimations based on an innovative error minimization algorithm.
Shape factors are also introduced and integrated into ESM to obtain
comprehensive evaluation of specimen choices.
A detailed overview is provided summarizing methods, principles and
laws of traditional similitude (TSM) and systems that satisfy extension into
ESM. Applicability of ESM in different systems is described based on the limitations
of TSM in the evaluation of complex structures. Several examples
and ideas spanning aerodynamic, thermal, mechanical and electro-magnetic
domains are illustrated to complement inherent technical analysis. For example,
the new ESM procedure is shown to be considerably more accurate than
earlier methods in predicting the values of drag coefficient of an airfoil. A final
foray into the regime of \design evaluation by similarity" is made to elucidate
applicability and efficiency of developed techniques in practical systems and
products. A thorough methodology is also presented highlighting pertinent
procedures and processes in usage of this method. / text
| Identifer | oai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/6673 |
| Date | 02 November 2009 |
| Creators | Tadepalli, Srikanth |
| Source Sets | University of Texas |
| Language | English |
| Detected Language | English |
| Format | electronic |
| Rights | Copyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works. |
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