Thence

d[phi] dx d[psi]

------ = --[psi] + x------

ds ds ds

dx d[psi] dp

= --[psi] + 2(a² + [lambda])--------- l--, (9)

ds d[lambda] ds

so that the velocity of the liquid may be resolved into a component

-[psi] parallel to Ox, and -2(a² + [lambda])l d[psi]/d[lambda] along

the normal of the ellipsoid; and the liquid flows over an ellipsoid

along a line of slope with respect to Ox, treated as the vertical.

Encyclopaedia Britannica, 11th Edition, "Hydromechanics" to "Ichnography" Volume 14, Slice 2 · 第 58 / 120 题