Precision Measurement of Sub-Continuum Gas Conduction within Micro-Confinements

Abstract

Sub-continuum gas conduction is an essentially important phenomenon in disparate fields of applications ranging from aerospace vehicles to biomedical sensors, and has been the focus of many computational studies over the past decades. These studies predicted that the energy exchange mechanisms are driven by gas-surface interactions, strongly dependent on the gas and surface characteristics. Despite its fundamental and practical importance, thermal transport via gas conduction at non-continuum regimes mostly remains experimentally unverified. Here, we report precision measurements of sub-continuum gas conduction within parallel micro-cavities and elucidate its dependence on the gas and surface characteristics. More importantly, we demonstrate a systematic approach for extracting the energy accommodation coefficient (EAC), which is necessary to establish gas-surface scattering kernels or develop diffusive-specular solutions to the Boltzmann transport equation. EACs are also required for calculating the temperature jump coefficient in near-continuum conditions to solve classical hydrodynamical equations. For the first time, we show a correction to the kinetic theory in the transition to near-continuum regimes (particularly for non-monatomic gases) by extracting a physical parameter representing the intermolecular collisions within the Knudsen layer. Our results agree well with the kinetic theory predictions and are expected to inform the development of technologies such as thermal switches, gas sensors, and light-driven actuators.