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  2. List of dimensionless quantities - Wikipedia

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

    Chemical engineering, material science, mechanics (A scale to show the energy needed for detaching two solid particles) [13] [14] Cost of transport: COT = energy efficiency, economics (ratio of energy input to kinetic motion) Damping ratio

  3. Nondimensionalization - Wikipedia

    en.wikipedia.org/wiki/Nondimensionalization

    Nondimensionalization is the partial or full removal of physical dimensions from an equation involving physical quantities by a suitable substitution of variables.This technique can simplify and parameterize problems where measured units are involved.

  4. Scale analysis (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Scale_analysis_(mathematics)

    Scale analysis anticipates within a factor of order one when done properly, the expensive results produced by exact analyses. Scale analysis rules as follows: Rule1-First step in scale analysis is to define the domain of extent in which we apply scale analysis. Any scale analysis of a flow region that is not uniquely defined is not valid.

  5. Dimensionless numbers in fluid mechanics - Wikipedia

    en.wikipedia.org/wiki/Dimensionless_numbers_in...

    Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.

  6. Dimensionless quantity - Wikipedia

    en.wikipedia.org/wiki/Dimensionless_quantity

    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.

  7. Scale analysis (statistics) - Wikipedia

    en.wikipedia.org/wiki/Scale_analysis_(statistics)

    The item-total correlation approach is a way of identifying a group of questions whose responses can be combined into a single measure or scale. This is a simple approach that works by ensuring that, when considered across a whole population, responses to the questions in the group tend to vary together and, in particular, that responses to no individual question are poorly related to an ...

  8. Non-dimensionalization and scaling of the Navier–Stokes ...

    en.wikipedia.org/wiki/Non-dimensionalization_and...

    This technique can ease the analysis of the problem at hand, and reduce the number of free parameters. Small or large sizes of certain dimensionless parameters indicate the importance of certain terms in the equations for the studied flow. This may provide possibilities to neglect terms in (certain areas of) the considered flow.

  9. Scale analysis - Wikipedia

    en.wikipedia.org/wiki/Scale_analysis

    Download as PDF; Printable version; In other projects ... Scale analysis may refer to: Scale analysis (mathematics) Scale analysis (statistics) This page was last ...

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