A computationally efficient framework for modeling microscale and rarefied gas flows based on new constitutive relations

Abstract

"The momentum and heat transport in microscale and rarefied gas flows is known to deviate from the classical laws of and Navier and Fourier. A more sophisticated model derived from the Boltzmann equation may be required to describe the gaseous and thermal transport in these flows. In this work, a computationally efficient framework based on phenomenological nonlinear coupled constitutive relations is presented. The force-driven Poiseuille and the Knudsen layer gas flows are investigated analytically in order to show the potential of the new framework. Copyright ? 2010 by the American Institute of Aeronautics and Astronautics, Inc.