Deshpande, Mohan D (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: | Proj.Doc/Technical Report (Technical Report) |
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Uncontrolled Keywords: | Dimensional analysis;Power monomial;Physical law;Dimensional homogeneity;Delta |

Subjects: | ENGINEERING > Fluid Mechanics and Thermodynamics |

Division/Department: | Fluid Dynamics |

Depositing User: | M/S ICAST NAL |

Date Deposited: | 27 Sep 2006 |

Last Modified: | 24 May 2010 09:50 |

URI: | http://nal-ir.nal.res.in/id/eprint/2821 |

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