Dimensional analysis and the theory of natural units
by Theodore Henry Gawain
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The document has been prepared as a text on dimensional analysis for students of Aeronautics at this School. It develops the subject from a viewpoint which is inadequately treated in most standard tests but which the author's experience has shown to be valuable to students and professionals alike. The analysis treats two types of consistent units, namely, fixed units and natural units. Fixed units include those encountered in the various familiar English and metric systems. Natural units are not fixed in magnitude once and for all but depend on certain physical reference parameters which change with the problem under consideration. Detailed rules are given for the orderly choice of such dimensional reference parameters and for their use in various applications. (Author)
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Title from cover.
"October 1971"--Cover.
"NPS-57GN71101A"--Cover.
DTIC Identifiers: Measurement units, dimensional analysis.
Author(s) key words: Dimensional analysis, dimensional parameters, dimensions, fundamental dimensions, dimensionless numbers, dimensionless coefficients, dimensionless parameters, dimensionless pi's, Pi Theorem, English units, metric units MKS units, consistent units, inertial units, gravitational units, fixed units, standard units, natural units, intrinsic units, generalized units, unit and measure, dynamic similarity, thermodynamic similarity, theory of models Reynolds number Mach number Froude number drag coefficient, skin friction coefficient, momentum theory, propeller parameters, turbine parameters, rotorcraft parameters, pump parameters, compressor parameters, incompressible flow parameters, viscous flow parameters, physical equations, mathematical invariance.
Includes bibliographical references (p. 114).
"Approved for public release; distribution unlimited"--Cover.
Technical report; 1971.
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