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  2. List of dimensionless quantities - Wikipedia

    en.wikipedia.org/wiki/List_of_dimensionless...

    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.

  3. Dimensionless quantity - Wikipedia

    en.wikipedia.org/wiki/Dimensionless_quantity

    It has been argued that quantities defined as ratios Q = A/B having equal dimensions in numerator and denominator are actually only unitless quantities and still have physical dimension defined as dim Q = dim A × dim B −1. [21] For example, moisture content may be defined as a ratio of volumes (volumetric moisture, m 3 ⋅m −3, dimension L ...

  4. Nondimensionalization - Wikipedia

    en.wikipedia.org/wiki/Nondimensionalization

    For example, if x is a quantity, then x c is the characteristic unit used to scale it. As an illustrative example, consider a first order differential equation with constant coefficients: + = (). In this equation the independent variable here is t, and the dependent variable is x.

  5. Oscillator strength - Wikipedia

    en.wikipedia.org/wiki/Oscillator_strength

    In spectroscopy, oscillator strength is a dimensionless quantity that expresses the probability of absorption or emission of electromagnetic radiation in transitions between energy levels of an atom or molecule. [1] [2] For example, if an emissive state has a small oscillator strength, nonradiative decay will outpace radiative decay.

  6. Proton-to-electron mass ratio - Wikipedia

    en.wikipedia.org/wiki/Proton-to-electron_mass_ratio

    In physics, the proton-to-electron mass ratio (symbol μ or β) is the rest mass of the proton (a baryon found in atoms) divided by that of the electron (a lepton found in atoms), a dimensionless quantity, namely: μ = m p /⁠m e = 1 836.152 673 426 (32). [1]

  7. Time-variation of fundamental constants - Wikipedia

    en.wikipedia.org/wiki/Time-variation_of...

    A meaningful test on the time-variation of G would require comparison with a non-gravitational force to obtain a dimensionless quantity, e.g. through the ratio of the gravitational force to the electrostatic force between two electrons, which in turn is related to the dimensionless fine-structure constant.

  8. Péclet number - Wikipedia

    en.wikipedia.org/wiki/Péclet_number

    In continuum mechanics, the Péclet number (Pe, after Jean Claude Eugène Péclet) is a class of dimensionless numbers relevant in the study of transport phenomena in a continuum. It is defined to be the ratio of the rate of advection of a physical quantity by the flow to the rate of diffusion of the same quantity driven by an appropriate gradient.

  9. Capillary number - Wikipedia

    en.wikipedia.org/wiki/Capillary_number

    Flow through the pores in an oil reservoir has capillary number values in the order of 10 −6, whereas flow of oil through an oil well drill pipe has a capillary number in the order of unity. [ 4 ] The capillary number plays a role in the dynamics of capillary flow ; in particular, it governs the dynamic contact angle of a flowing droplet at ...