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In hydrodynamics, the Perrin friction factors are multiplicative adjustments to the translational and rotational friction of a rigid spheroid, relative to the corresponding frictions in spheres of the same volume. These friction factors were first calculated by Jean-Baptiste Perrin. The formulae presented below assume "stick" (not "slip") boundary conditions, i.e., it is assumed that the velocity of the fluid is zero at the surface of the spheroid.

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  • En hidrodinámica, los factores de fricción de Perrin son factores de ajuste de tipo multiplicativo a la fricción traslacional y rotacional de un esferoide rígido, con respecto a los factores de fricción correspondientes a esferas del mismo volumen. Estos factores fueron calculado por primera vez por Jean-Baptiste Perrin. Estos factores son aplicables a esferoides (por ejemplo, elipsoides de revolución), que quedan caracterizados por una relación axial p = (a/b), definida entre el semieje axial a(o sea el semieje a lo largo del eje de revolución) dividido por el semieje ecuatorial b. En , la relación axial es p > 1 dado que el semieje axial es más largo que los semiejes ecuatoriales. En forma análoga, en , la relación axial es p < 1 dado que el semieje axial es más corto que los semiejes ecuatoriales. Finalmente, para una esfera, la relación axial es p = 1, dado que los tres semiejes son de igual longitud. (es)
  • In hydrodynamics, the Perrin friction factors are multiplicative adjustments to the translational and rotational friction of a rigid spheroid, relative to the corresponding frictions in spheres of the same volume. These friction factors were first calculated by Jean-Baptiste Perrin. These factors pertain to spheroids (i.e., to ellipsoids of revolution), which are characterized by the axial ratio p = (a/b), defined here as the axial semiaxis a(i.e., the semiaxis along the axis of revolution) divided by the equatorial semiaxis b. In prolate spheroids, the axial ratio p > 1 since the axial semiaxis is longer than the equatorial semiaxes. Conversely, in oblate spheroids, the axial ratio p < 1 since the axial semiaxis is shorter than the equatorial semiaxes. Finally, in spheres, the axial ratio p = 1, since all three semiaxes are equal in length. The formulae presented below assume "stick" (not "slip") boundary conditions, i.e., it is assumed that the velocity of the fluid is zero at the surface of the spheroid. (en)
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  • En hidrodinámica, los factores de fricción de Perrin son factores de ajuste de tipo multiplicativo a la fricción traslacional y rotacional de un esferoide rígido, con respecto a los factores de fricción correspondientes a esferas del mismo volumen. Estos factores fueron calculado por primera vez por Jean-Baptiste Perrin. (es)
  • In hydrodynamics, the Perrin friction factors are multiplicative adjustments to the translational and rotational friction of a rigid spheroid, relative to the corresponding frictions in spheres of the same volume. These friction factors were first calculated by Jean-Baptiste Perrin. The formulae presented below assume "stick" (not "slip") boundary conditions, i.e., it is assumed that the velocity of the fluid is zero at the surface of the spheroid. (en)
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  • Factores de fricción de Perrin (es)
  • Perrin friction factors (en)
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