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“School of Physic”

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Paper   IPM / Physic / 7241
School of Physics
  Title:   Once More, Entropy as A Liapunov Function
  Author(s):  H. Eshraghi
  Status:   Published
  Journal: IUST International Journal of Engineering Science
  No.:  2
  Vol.:  17
  Year:  2006
  Pages:   5-8
  Supported by:  IPM
  Abstract:
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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