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Poiseuille Flow and Thermal Transpiration of a Rarefied Polyatomic Gas Through a Circular Tube with Applications to Microflows

Hitoshi FunaganeShigeru TakataKazuo AokiKo Kugimoto — 2011

Bollettino dell'Unione Matematica Italiana

As the first step, a rarefied polyatomic gas in a long and straight circular tube is considered, and the flow caused by a small uniform pressure gradient (Poiseuille flow) and the flow induced by a small uniform temperature gradient along the tube (thermal transpiration) are investigated, using the ellipsoidal statistical (ES) model of the Boltzmann equation for a polyatomic gas. It is shown that the solutions to these problems can be reduced to those based on the Bhatnagar-Gross-Krook (BGK) model...

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