Dimensional analysis and the concept of natural units in engineering
by Theodore Henry Gawain
The monograph presents an introduction to dimensional analysis, a subject of profound significance for all quantitative sciences and engineering. Although the purely formal mathematical relations of dimensional analysis can be found in many texts, the present analysis, while still reasonably brief, goes well beyond the usual textbook treatment. It develops a unified theory of physical measurements which involves several novel and original features. Engineering applications of the theory are illustrated by various examples involving mainly fluid flow, turbomachinery, propellers, and related devices. In broad classes of propellers, lifting rotors, and air turbines, merely by nondimensionalizing the well known momentum/energy relations in an unconventional but systematic manner. (Author)
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Dimensional analysis and the concept of natural units in engineering
1972, Naval Postgraduate School
in English
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Edition Notes
Title from cover.
"March 1972"--Cover.
"NPS-57GN72031A"--Cover.
DTIC Identifiers: Measurement units, dimensional analysis.
Author(s) key words: Dimensional analysis, dimensions, fundamental dimensions, dimensionless parameters, dimensionless Pi's, Pi theorem, English units, metric units, consistent units, inertial units, gravitational units, fixed units, natural units, generalized units, unit and measure, dynamic similarity, thermodynamic similarity, theory of models, Reynolds number, momentum theory of propellers, propeller parameters, turbine parameters, rotorcraft parameters, pump parameters, compressor parameters, performance limits of: propellers, axial turbines, lifting rotors, mathematical invariance of physical equations.
Includes bibliographical references (p. 64-65).
"Approved for public release; distribution unlimited."
Technical report; 1972.
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