Slug flow heat transfer in a semi‐infinite microtube with temperature jump wall condition

Abstract

This paper presents an analytical solution of steady-state heat transfer for laminar, two-dimensional, and rarefied gas flow in a semi-infinite microtube. To account for the slip-flow characteristics of microscale heat transfer, temperature jump condition at the wall has been included in the model while the fluid velocity is assumed to be constant (slug flow). The solution yields closed form expressions for fully-developed Nusselt numbers in terms of Knudsen number and Prandtl number under both isothermal and isoflux wall conditions.

Prediction of flow and heat transfer through a microtube filled with bidisperse porous medium under local thermal nonequilibrium condition

“…So other regimes such as slip flow (0.001 < Kn < 0.1), transient (0.1 < Kn < 10), and free molecular regime (Kn > 10) should be considered rather than continuum (Kn < 0.001) . In these cases, Navier–Stokes equations with modified wall boundary conditions, Lattice Boltzmann, or molecular dynamic methods can be applied …”