“School of Physics”
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| Paper IPM / P / 7241 |
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| Abstract: | |
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A stationary 3-D viscous flow with negligible thermal conduction
is considered to have a nondecreasing entropy function along
any fluid trajectory. A Liapunov function is constructed based
on the entropy to achieve the stability of a point of maximum
entropy. It is shown the flow around this point consists of some
closed orbits lying simultaneously on both surfaces of constant
entropy and spherical surfaces centred at that point. Also the
flow near to this stable point must be incompressible and nonviscous.
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