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This is a list of well-known dimensionless quantities illustrating their variety of forms and applications. The tables also include pure numbers, dimensionless ratios, or dimensionless physical constants; these topics are discussed in the article.
Dimensionless quantities, or quantities of dimension one, [1] are quantities implicitly defined in a manner that prevents their aggregation into units of measurement. [ 2 ] [ 3 ] Typically expressed as ratios that align with another system, these quantities do not necessitate explicitly defined units .
Choose judiciously the definition of the characteristic unit for each variable so that the coefficients of as many terms as possible become 1; Rewrite the system of equations in terms of their new dimensionless quantities. The last three steps are usually specific to the problem where nondimensionalization is applied.
In physics, a characteristic length is an important dimension that defines the scale of a physical system. Often, such a length is used as an input to a formula in order to predict some characteristics of the system, and it is usually required by the construction of a dimensionless quantity, in the general framework of dimensional analysis and in particular applications such as fluid mechanics.
A quantity that has only b ≠ 0 (with all other exponents zero) is known as a geometric quantity. A quantity that has only both a ≠ 0 and b ≠ 0 is known as a kinematic quantity. A quantity that has only all of a ≠ 0, b ≠ 0, and c ≠ 0 is known as a dynamic quantity. [3] A quantity that has all exponents null is said to have dimension ...
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A United States Navy Aviation boatswain's mate tests the specific gravity of JP-5 fuel. Relative density, also called specific gravity, [1] [2] is a dimensionless quantity defined as the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material.
Froude number – Dimensionless number; ratio of a fluid's flow inertia to the external field; Kármán vortex street – Repeating pattern of swirling vortices; Mach number – Dimensionless quantity in fluid dynamics; Reynolds number – Ratio of inertial to viscous forces acting on a liquid