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Relative Equilibrium of Liquids - Theory & Concepts

Analysis of liquids subjected to uniform linear acceleration and rigid-body rotation.

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Relative Equilibrium Simulator

Open tank: 2.0 m long, 1.8 m high, initially filled to 1.0 m.

initial level

Positive is upward. At −9.81 m/s² the tank is in free fall.

Effective downward gravity9.81 m/s²
Surface angle0.00°
End-to-end elevation difference0.000 m
Left / right depth1.000 / 1.000 m

The free surface is perpendicular to effective gravity. It falls in the direction of horizontal acceleration, withdz/dx=ax/(g+av)\left|dz/dx\right|=|a_x|/(g+a_v).