Knudsen pump inspired by Crookes radiometer with a specular wall

Tobias Baier, Steffen Hardt, Vahid Shahabi, and Ehsan Roohi
Phys. Rev. Fluids 2, 033401 – Published 22 March 2017

Abstract

A rarefied gas is considered in a channel consisting of two infinite parallel plates between which an evenly spaced array of smaller plates is arranged normal to the channel direction. Each of these smaller plates is assumed to possess one ideally specularly reflective and one ideally diffusively reflective side. When the temperature of the small plates differs from the temperature of the sidewalls of the channel, these boundary conditions result in a temperature profile around the edges of each small plate that breaks the reflection symmetry along the channel direction. This in turn results in a force on each plate and a net gas flow along the channel. The situation is analyzed numerically using the direct simulation Monte Carlo method and compared with analytical results where available. The influence of the ideally specularly reflective wall is assessed by comparing with simulations using a finite accommodation coefficient at the corresponding wall. The configuration bears some similarity to a Crookes radiometer, where a nonsymmetric temperature profile at the radiometer vanes is generated by different temperatures on each side of the vane, resulting in a motion of the rotor. The described principle may find applications in pumping gas on small scales driven by temperature gradients.

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  • Received 26 October 2016

DOI:https://doi.org/10.1103/PhysRevFluids.2.033401

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Fluid Dynamics

Authors & Affiliations

Tobias Baier* and Steffen Hardt

  • Center of Smart Interfaces, Institute for Nano- and Microfluidics, Technische Universität Darmstadt, 64287 Darmstadt, Germany

Vahid Shahabi and Ehsan Roohi

  • High Performance Computing Laboratory, Department of Mechanical Engineering, Ferdowsi University of Mashhad, 91775-1111 Mashhad, Iran

  • *baier@nmf.tu-darmstadt.de

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Issue

Vol. 2, Iss. 3 — March 2017

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