Advances in empirical similitude method

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Title: Advances in empirical similitude method
Author: Tadepalli, Srikanth
Abstract: 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 .
URI: http : / /hdl .handle .net /2152 /6673
Date: 2009-11-02

Citation

Advances in empirical similitude method. Doctoral dissertation, The University of Texas at Austin. Available electronically from http : / /hdl .handle .net /2152 /6673 .

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