Dimensional analysis and the theory of natural units

Abstract

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