Dimensional Analysis

Authored by: Law Chung Lim , Shyam S. Sablani , Arun S. Mujumdar

Handbook of Food and Bioprocess Modeling Techniques

Print publication date:  December  2006
Online publication date:  December  2006

Print ISBN: 9780824726713
eBook ISBN: 9781420015072
Adobe ISBN:

10.1201/9781420015072.ch17

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Abstract

Dimensional analysis is a mathematical tool that is used to reduce complex physical problems to the simplest forms before quantitative analysis and experimental investigation are carried out. The reduction number of variables uses the Buckingham theorem 1 as its central tool. In addition, it allows identification of dimensionless parameters even if the form of equation is still unknown. Therefore, it reduces, by an order of magnitude, the number of experiments needed to generalize or empirically correlate a set of data.

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