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On the thermally-driven gas flow through divergent micro/nanochannels

High Performance Computing (HPC) Laboratory, Department of Mechanical Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran

E-mail Address: sajjad.mozaffari@gmail.com

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and

Ehsan Roohi

High Performance Computing (HPC) Laboratory, Department of Mechanical Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran

E-mail Address: e.roohi@ferdowsi.um.ac.ir

Corresponding author.

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https://doi.org/10.1142/S0129183117501431Cited by:7 (Source: Crossref)

Abstract

A detailed study on thermally driven flows through divergent micro/nanochannels is presented. Rarefied gas flow behavior and thermal mass flow rate were investigated with different divergence angles ranging between 0 $^{\circ}$ and 7 $^{\circ}$ at two aspect ratios ( $AR = L ∕ H_{in} = 6, 20$ ) using particle-based direct simulation Monte-Carlo (DSMC) method. We compare our DSMC solutions for normalized thermal mass flow rate with the numerical solution of the Boltzmann–Krook–Walender (BKW) model and Bhatnagar–Gross–Krook (BGK) model and asymptotic theory over a wide range of Knudsen number in the transition regime. The flow field properties including Mach number, pressure, overall temperature and magnitude of shear stress are examined in detail. Based on our analysis, we observed an approximately constant velocity and pressure distribution at a microchannel with a small opening angle. Our results also demonstrate that the heat lines from weakly nonlinear form of Sone constitutive law and DSMC show good agreement at low Knudsen numbers. Moreover, we show that the effect of divergence angle is influential in increasing normalized thermal mass flow rate at early transition regime.

Keywords:

PACS: 47.61.–k, 47.45.–n, 05.70.–a, 02.70.–c

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