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Sommerfeld number information


In the design of fluid bearings, the Sommerfeld number (S) is a dimensionless quantity used extensively in hydrodynamic lubrication analysis. The Sommerfeld number is very important in lubrication analysis because it contains all the variables normally specified by the designer.

The Sommerfeld number is named after Arnold Sommerfeld (1868–1951).

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Sommerfeld number

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bearings, the Sommerfeld number (S) is a dimensionless quantity used extensively in hydrodynamic lubrication analysis. The Sommerfeld number is very important...

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Arnold Sommerfeld

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Arnold Johannes Wilhelm Sommerfeld, ForMemRS (German: [ˈzɔmɐˌfɛlt]; 5 December 1868 – 26 April 1951) was a German theoretical physicist who pioneered developments...

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List of things named after Arnold Sommerfeld

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expansion Sommerfeld effect Sommerfeld identity Sommerfeld number Sommerfeld parameter Sommerfeld radiation condition Sommerfeld's approximation Sommerfeld–Goubau...

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Bohr model

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the Bohr–Sommerfeld model was without its successes. Calculations based on the Bohr–Sommerfeld model were able to accurately explain a number of more complex...

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Old quantum theory

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premised on the Arnold Sommerfeld enhancements to the Bohr model of the atom. The main tool of the old quantum theory was the Bohr–Sommerfeld quantization condition...

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Reynolds number

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Reynolds number was named by Arnold Sommerfeld in 1908 after Osborne Reynolds (1842–1912), who popularized its use in 1883. The Reynolds number is the ratio...

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Quantum number

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lecture, the next step was taken by Arnold Sommerfeld in 1915. Sommerfeld's atomic model added a second quantum number and the concept of quantized phase integrals...

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Spin quantum number

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in the Philosophical Magazine. The qualitative success of the Sommerfeld quantum number scheme failed to explain the Zeeman effect in weak magnetic field...

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Azimuthal quantum number

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orbitals around each atom. The term "azimuthal quantum number" was introduced by Arnold Sommerfeld in 1915: II:132  as part of an ad hoc description of...

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Fluid bearing

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to improve the bearings' performance. Plain bearing Kugel fountain Sommerfeld number Rowe, W. Brian (2012). Hydrostatic, Aerostatic and Hybrid Bearing...

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Free electron model

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Sommerfeld, who combined the classical Drude model with quantum mechanical Fermi–Dirac statistics and hence it is also known as the Drude–Sommerfeld model...

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Dimensionless numbers in fluid mechanics

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diagonals give common symbols for the quantities, and the given dimensionless number is the ratio of the left column quantity over top row quantity; e.g. Re...

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Sommerfeld radiation condition

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In applied mathematics, and theoretical physics, the Sommerfeld radiation condition is a concept from theory of differential equations and scattering theory...

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Electron shell

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Wolfgang Pauli added a fourth quantum number, "spin", during the old quantum theory period of the Sommerfeld-Bohr Solar System atom to complete the modern...

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List of dimensionless quantities

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Richardson number Archived 2015-03-02 at the Wayback Machine Schmidt number Archived 2010-01-24 at the Wayback Machine Sommerfeld number Strouhal number, Engineering...

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Geometrical optics

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short-wavelength limit for solutions to hyperbolic partial differential equations (Sommerfeld–Runge method) or as a property of propagation of field discontinuities...

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Principal quantum number

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application of the Bohr–Sommerfeld quantization rules to the classical equations. The radial quantum number determines the number of nodes of the radial...

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Number density

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corrected version: (2006–) "number concentration". doi:10.1351/goldbook.N04260 Clayton T. Crowe; John D. Schwarzkopf; Martin Sommerfeld; Yutaka Tsuji (2011)...

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Hydrogen atom

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expression was first obtained by A. Sommerfeld in 1916 based on the relativistic version of the old Bohr theory. Sommerfeld has however used different notation...

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Ferdinand von Lindemann

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theses of the mathematicians David Hilbert, Hermann Minkowski, and Arnold Sommerfeld. In 1882, Lindemann published the result for which he is best known, the...

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Werner Heisenberg

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anomalous Zeeman effect. In June 1922, Sommerfeld took Heisenberg to Göttingen to attend the Bohr Festival, because Sommerfeld had a sincere interest in his students...

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Gamow factor

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The Gamow factor, Sommerfeld factor or Gamow–Sommerfeld factor, named after its discoverer George Gamow or after Arnold Sommerfeld, is a probability factor...

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