Evaluation of Rarefied Shear Flow in Micro/Nano Geometries Using Fokker-Planck Technique

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Rezapour Jaghargh V.; MAHDAVI A.M.; ROOHI E.

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Journal: Modares Mechanical Engineering Year:2019 | Volume:19 | Issue:7 Page(s): 1721-1732

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Title

Evaluation of Rarefied Shear Flow in Micro/Nano Geometries Using Fokker-Planck Technique

Author(s)

Rezapour Jaghargh V. | MAHDAVI A.M. | ROOHI E. | Issue Writer Certificate

Keywords

Knudsen NumberQ1

Shear-driven flowQ2

Micro/Nano FlowQ1

Fokker Planck ApproachQ1

Abstract

In this article, rarefied gas flow was investigated and analyzed by the Fokker-Planck approach in different Knudsen Numbers and Mach numbers at subsonic and supersonic regimes. The presented Fokker-Planck approach is used to solve the rarefied gas flows in different sheardriven micro/nano geometries like one-dimensional Couette flow and the two-dimensional cavity problem. Boltzmann’ s equation, and especially statistical technique of the Direct Simulation Monte Carlo (DSMC), are precise tools for simulating non-equilibrium flows. However, as the Knudsen Number becomes small, the computational costs of the DSMC are greatly increased. In order to cope with this challenge, the Fokker-Planck approximation of the Boltzmann equation is considered in this article. The developed code replaces the molecular collisions in DSMC with a set of continuous stochastic differential equations. In this study, the Fokker-Planck method was evaluated in the Couette flow in the subsonic Mach number of 0. 16 (wall velocity was 50 m/s) and in the supersonic Mach number of 3. 1 (wall velocity was 1000 m/s), where Knudsen Numbers range from 0. 005-0. 3. Also, the cavity flow with a wall Mach number of 0. 93 (wall velocity was 300 m/s) in Knudsen Numbers ranging from 0. 05-20 was investigated. The results show that by increasing speed and Knudsen Numbers, the accuracy of Fokker-Planck increases. In addition, despite using larger number of simulator particles, the rapid convergence and lower computational costs relative to other methods are the features of this method.

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APA: Copy

Rezapour Jaghargh, V., MAHDAVI, A.M., & ROOHI, E.. (2019). Evaluation of Rarefied Shear Flow in Micro/Nano Geometries Using Fokker-Planck Technique. MODARES MECHANICAL ENGINEERING, 19(7 ), 1721-1732. SID. https://sid.ir/paper/178001/en

Vancouver: Copy

Rezapour Jaghargh V., MAHDAVI A.M., ROOHI E.. Evaluation of Rarefied Shear Flow in Micro/Nano Geometries Using Fokker-Planck Technique. MODARES MECHANICAL ENGINEERING[Internet]. 2019;19(7 ):1721-1732. Available from: https://sid.ir/paper/178001/en

IEEE: Copy

V. Rezapour Jaghargh, A.M. MAHDAVI, and E. ROOHI, “Evaluation of Rarefied Shear Flow in Micro/Nano Geometries Using Fokker-Planck Technique,” MODARES MECHANICAL ENGINEERING, vol. 19, no. 7 , pp. 1721–1732, 2019, [Online]. Available: https://sid.ir/paper/178001/en

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