Elliptic functions and flotation
P.L. Robinson
TL;DR
This paper investigates the critical density ratio for a paraboloid or cone to become fully submerged when released into a liquid, using elliptic functions to analyze the problem.
Contribution
It introduces a novel application of elliptic functions to determine the critical density ratio for submerged bodies of specific shapes.
Findings
Derived the critical density ratio for full submersion.
Applied elliptic functions to solve the submerged body problem.
Provided analytical expressions for the critical conditions.
Abstract
A paraboloid or a cone of density with vertical axis is released from rest into a liquid of density . We determine the critical value of the ratio for subsequent full submersion.
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Taxonomy
TopicsReservoir Engineering and Simulation Methods · Minerals Flotation and Separation Techniques · Enhanced Oil Recovery Techniques