Introduction to Dimensional Analysis and the Theory of Natural Units,

Abstract

The report presents a somewhat abbreviated introduction to dimensional analysis for students of science or engineering. It shows how to construct a system of consistent natural units appropriate to any given physical problem or context. It also explains how the well known Pi Theorem of dimensional analysis follows from this treatment, and how the dimensionless pi's of the theorem simply represent various physical quantities of interest as expressed in such natural units. The method is illustrated by application to the case of an ideal propeller. This example shows how dimensional analysis may be used to generalize and simplify a problem, and to extract the maximum degree of useful information and insight from its solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0734980

Entities

People

  • T. H. Gawain

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Engineering
  • Mechanical Engineering
  • Mechatronic Engineering
  • Propellers

Readers

  • Business Analytics
  • Mathematical Modeling and Probability Theory.