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- W1579198538 abstract "In this paper we present a mathematical model for estimate the collapse time of a gas bubble in a vane of a oil gerotor pump. This amount of time cannot be greater of the total time spent by the pump for filling and then emptying out a vane in a single revolution, otherwise there is a loss of lubrication between internal and external gears. We assume that oil is incompressible and viscous, the bubble has a spherical shape and it is not translating into the external fluid. The analytical treatment of the model shows that the Navier-Stokes equations for the velocity field of the oil can be reduced to a single non linear ordinary differential equation for the variation in time of the bubble radius. The collapse time estimated by a numerical resolution of this equation and the collapse time calculated from an analytical resolution of the linearized equation are substantially equal." @default.
- W1579198538 created "2016-06-24" @default.
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- W1579198538 date "2006-06-19" @default.
- W1579198538 modified "2023-09-27" @default.
- W1579198538 title "On a differential equation for a gas bubbles collapse mathematical model" @default.
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