• Corpus ID: 235377399

An Approximate Analytical Solution to Knudsen Layers

  title={An Approximate Analytical Solution to Knudsen Layers},
  author={Ruo Li and Yichen Yang},
Abstract. We apply moment methods to obtaining an approximate analytical solution to Knudsen layers. Based on the hyperbolic regularized moment system for the Boltzmann equation with the Shakhov collision model, we derive a linearized hyperbolic moment system to model the scenario with the Knudsen layer vicinity to a solid wall with Maxwell boundary condition. We find that the reduced system is in an even-odd parity form that the reduced system proves to be well-posed under all accommodation… 

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  • X. Gu, D. Emerson
  • Physics, Medicine
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2014
This paper considers low-speed problems with small gradients, and a linearized set of moment equations is derived to explore a classic temperature problem and can reliably capture all qualitative trends for the temperature-jump coefficient and the associated temperature defect in the thermal Knudsen layer.