Unsteady flow induced by a withdrawal point beneath a free surface
The ANZIAM Journal, 2005•cambridge.org
The unsteady axisymmetric withdrawal from a fluid with a free surface through a point sink is
considered. Results both with and without surface tension are included and placed in
context with previous work. The results indicate that there are two critical values of
withdrawal rate at which the surface is drawn directly into the outlet, one after flow initiation
and the other after the flow has been established. It is shown that the larger of these values
corresponds to the point at which steady solutions no longer exist.
considered. Results both with and without surface tension are included and placed in
context with previous work. The results indicate that there are two critical values of
withdrawal rate at which the surface is drawn directly into the outlet, one after flow initiation
and the other after the flow has been established. It is shown that the larger of these values
corresponds to the point at which steady solutions no longer exist.
The unsteady axisymmetric withdrawal from a fluid with a free surface through a point sink is considered. Results both with and without surface tension are included and placed in context with previous work. The results indicate that there are two critical values of withdrawal rate at which the surface is drawn directly into the outlet, one after flow initiation and the other after the flow has been established. It is shown that the larger of these values corresponds to the point at which steady solutions no longer exist.
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