Power Monomial relation between parameters related by a physical law

Deshpande, MD (1987) Power Monomial relation between parameters related by a physical law. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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Abstract

In dimensional analysis the Pi theorem well known. A different interesting point is considered here. It is shown that the existence a of a simple power monomial relation between two or more dimensional parameters like VI=KVI.2, (a=constant and K depends on the remaining13; V's) can be inferred sometimes based on the ideas of dimensional homogeneity. A group of such dimensional parameters having a power monomial relation is named a Delta (A). A 'Delta which may exist in a system but is not a direct consequence of dimensional homogeneity can only be exposed from the complete study of the particular system. But a Delta which is a direct consequence of dimensional homogeneity can be predicted without knowing all the details of the system. How to identify all such Deltas in a system and understanding their properties13; like their maximum number or nonexistence or the number of parameters in a Delta form the central part of this study.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Dimensional analysis;Power monomial;Physical law;Dimensional homogeneity;Delta
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Depositing User: M/S ICAST NAL
Date Deposited: 27 Sep 2006
Last Modified: 10 Aug 2015 09:52
URI: http://nal-ir.nal.res.in/id/eprint/2821

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