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Gaseous Slip Flow in Parallel Plates MicroChannel

Zhuangde Jiang

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Abstract

In this paper, pressure distribution of gaseous slip flow in parallel plates microchannel was studied. The relation between pressure and gas modular mean free path was introduced into one order velocity slip boundary condition. And then explicit expression of pressure distribution was obtained through solving Navier-Stokes Equation. Computational results showed that pressure distribution curve in parallel plates microchannel was convex decreasing parabolic curve. Based on slip boundary condition, gas damping caused by changes of pressure distribution along the microchannel was studied in the application of parallel plates microchannel. Computing results showed that traditional non-ship boundary condition was no longer applicable in micro flow analysis.

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What this paper is about

In this paper, pressure distribution of gaseous slip flow in parallel plates microchannel was studied. The relation between pressure and gas modular mean free path was introduced into one order velocity slip boundary condition. And then explicit expression of pressure distribution was obtained through solving Navier-Stokes Equation. Computational results showed that pressure distribution curve in parallel plates microchannel was convex decreasing parabolic curve. Based on slip boundary condition, gas damping caused by changes of pressure distribution along the microchannel was studied in the application of parallel plates microchannel. Computing results showed that traditional non-ship boundary condition was no longer applicable in micro flow analysis.

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Available abstract

In this paper, pressure distribution of gaseous slip flow in parallel plates microchannel was studied. The relation between pressure and gas modular mean free path was introduced into one order velocity slip boundary condition. And then explicit expression of pressure distribution was obtained through solving Navier-Stokes Equation. Computational results showed that pressure distribution curve in parallel plates microchannel was convex decreasing parabolic curve. Based on slip boundary condition, gas damping caused by changes of pressure distribution along the microchannel was studied in the application of parallel plates microchannel. Computing results showed that traditional non-ship boundary condition was no longer applicable in micro flow analysis.

Key concepts: Microchannel, Slip (aerodynamics), Slip ratio, Mechanics, Boundary value problem, Materials science, Pressure drop, Flow (mathematics)

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