coupling_correction_2d

lumicks.pylake.coupling_correction_2d

coupling_correction_2d(dx, dy, bead_diameter, is_y_oscillation=False, allow_rotation=True)

Calculates the coupling correction factor for a 2D problem.

This function rotates the coordinate system and decomposes the fluid velocity into a component perpendicular and aligned with the bead-to-bead axis. For the aligned component, we use the model presented in [1] to determine a correction factor, while for the perpendicular axis we use the model presented in [2], [3] and [4].

Parameters:

• dx (array_like or float) – X and Y distances from bead 1 to bead 2 [um].

• dy (array_like or float) – X and Y distances from bead 1 to bead 2 [um].

• bead_diameter (float) – Bead diameter [um].

• is_y_oscillation (bool) – Is this a vertical oscillation?

• allow_rotation (float) – Provide the solution for when spheres are allowed to rotate

References

[1]

Stimson, M., & Jeffery, G. B. (1926). The motion of two spheres in a viscous fluid. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 111(757), 110-116 (2007).

[2]

Happel, J., & Brenner, H. (1983). Low Reynolds number hydrodynamics: with special applications to particulate media (Vol. 1). Springer Science & Business Media.

[3]

Wakiya, S. (1967). Slow motions of a viscous fluid around two spheres. Journal of the Physical Society of Japan, 22(4), 1101-1109.

[4]

Goldman, A. J., Cox, R. G., & Brenner, H. (1966). The slow motion of two identical arbitrarily oriented spheres through a viscous fluid. Chemical Engineering Science, 21(12), 1151-1170.