Consideration of Inertial Force in Capillary Rise
of a Newtonian Liquid in a Cylindrical Tube

A. I. Moshinskii

Russian Research Center for Applied Chemistry, pr. Dobrolyubova 14, St. Petersburg, 197198 Russia

Received November 16, 1995

Abstract—The equation of capillary penetration was derived with allowance made for inertial forces affecting
the formation of the velocity profile in a tube with a circular cross-section. The most typical situation, where
the force of inertia is small compared to other forces (surface tension, friction, and gravity) acting on the liquid
column, was analyzed in detail. The relationship with known equations was established. Simplified variants
were discussed for the equation of capillary rise, and some of their solutions were given.


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