Quantification of thermally-driven flows in microsystems using Boltzmann equation in deterministic and stochastic contexts

3 May 2019Shashank JaiswalAaron PikusAndrew StrongrichIsrael B. SebastiãoJingwei HuAlina A. Alexeenko

When the flow is sufficiently rarefied, a temperature gradient, for example, between two walls separated by a few mean free paths, induces a gas flow---an observation attributed to the thermo-stress convection effects at microscale. The dynamics of the overall thermo-stress convection process is governed by the Boltzmann equation---an integro-differential equation describing the evolution of the molecular distribution function in six-dimensional phase space---which models dilute gas behavior at the molecular level to accurately describe a wide range of flow phenomena... (read more)

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