• Title/Summary/Keyword: Knudsen number

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Sensitivity Analysis of Effective Viscosity Coefficients for Computing Characteristics of Ultrathin Gas Film Bearings (초미세 틈새의 기체 베어링 해석용 유효 점도의 표현식과 관련 계수들의 민감도 해석)

  • Kim, Ui Han;Rhim, Yoon Chul
    • Tribology and Lubricants
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    • v.30 no.1
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    • pp.15-20
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    • 2014
  • A more accurate expression for effective viscosity is obtained using a linear regression of the data from Fukui-Kaneko's model, which are obtained through numerical calculations based on the linearized Boltzmann equation. Veijola and Turowski's expression is adopted as a base function for effective viscosity. The four coefficients in that equation are optimized, and sensitivity analysis is conducted for these coefficients. The results show that the coefficient for the first-order Knudsen number is the most accurate, whereas the coefficient in the exponential of the Knudsen number is the least accurate compared with Fukui-Kaneko's results. The expression for effective viscosity is accurate within 0.02% rms of Fukui-Kaneko's results for the inverse Knudsen numbers from 0.01 to 100 and surface accommodation coefficients ranging from 0.7 to 1.

Characteristic Study of Micro-Nozzle Performance and Thermal Transpiration Based Self Pumping in Vacuum Conditions

  • Jung, Sung-Chul;Huh, Hwan-Il
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.866-870
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    • 2008
  • In this study, we designed cold gas propulsion system with minimum 0.25 mm nozzle and micro-thrust measurement system to analyze flow characteristic of micro propulsion system in ambient and vacuum condition. Argon and Nitrogen are used for propellant and the result of experiments is compared with CFD analysis and theory. But there is a point where reduced scale versions of conventional propulsion systems will no longer be practical. Therefore, a fundamentally different approach to propulsion systems was taken. That is thermal transpiration based micro propulsion system. It has no moving parts such as lubricants, pressurizing system and can pump the gaseous propellant by temperature gradient only(cold to hot). We are advancing basic research of propulsion system based on thermal transpiration in vacuum conditions and had tried experiment process and theoretical access in advance. To characterize membrane of Knudsen pump, we select Polyimide material that has low thermal conductivity(0.29 W/mK) and can stand high temperature($300^{\circ}C$) for long time. And we fabricated hole diameter 1, 0.5, 0.2, 0.1 mm using precision manufacturing. Experimental results show that pressure gradient efficiency of Knudsen pump is increased to maximum 82% according to Knudsen number and thick membranes are more effective than thin membranes in transition flow regime.

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Influence of Aspect Ratio on Friction Characteristics in Rectangular Gas Microchannel Flow (사각 미세채널 유동에서 마찰특성에 미치는 종횡비의 영향)

  • Islam, M.T.;Lee, Y.W.
    • Journal of Power System Engineering
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    • v.13 no.2
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    • pp.18-29
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    • 2009
  • 미세유동에 대한 폭발적인 관심에 의해 이 분야의 연구는 다양한 측면에서 이루어지고 있다. 본 연구는 사각 미세채널에서의 슬립유동에 관한 연구 중 아직 제대로 이루어져 있지 않은 마찰특성에 관한 종횡비의 영향에 초점을 맞추어 3차원 수치해석을 행하였다. 그 결과 종횡비가 1.0 일 때 상하 벽면 및 좌우측 벽면에서의 전단음력은 동일하나, 종횡비가 감소함에 따라 전단응력은 상하 벽면과 좌우측 벽면이 상이한 강도로 증가함을 보였다. 또한 Knudsen 수의 증가에 따라서는 전단응력이 감소함을 알 수 있었다. 따라서 벽면에서의 전단응력은 종횡비를 증가시키거나 혹은 Knudsen 수를 증가시키면 감소시킬 수 있으며, 마찰계수(fRe)도 종횡비를 증가시키거나 혹은 Knudsen 수를 증가시키면 감소됨을 밝혔다.

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Numerical Analysis on Thermal Transpiration Flows for a Micro Pump (열천이 현상을 이용한 마이크로 펌프내의 희박기체유동 해석)

  • Heo, Joong-Sik;Lee, Jong-Chul;Hwang, Young-Kyu;Kim, Youn-J.
    • The KSFM Journal of Fluid Machinery
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    • v.10 no.5
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    • pp.27-33
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    • 2007
  • Rarefied gas flows through two-dimensional micro channels are studied numerically for the performance optimization of a nanomembrane-based Knudsen compressor. The effects of the wall temperature distributions on the thermal transpiration flow patterns are examined. The flow has a pumping effect, and the mass flow rates through the channel are calculated. The results show that a steady one-way flow is induced for a wide range of the Knudsen number. The DSMC(direct simulation Monte Carlo) method with VHS(variable hard sphere) model and NTC(no time counter) techniques has been applied in this work to obtain numerical solutions. A critical element that drives Knudsen compressor Is the thermal transpiration membrane. The membranes are based on aerosol or machined aerogel. The aerogel is modeled as a single micro flow channel.

Extended Graetz Problem Including Axial Conduction and Viscous Dissipation in Microtube

  • Jeong Ho-Eyoul;Jeong Jae-Tack
    • Journal of Mechanical Science and Technology
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    • v.20 no.1
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    • pp.158-166
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    • 2006
  • Extended Graetz problem in microtube is analyzed by using eigenfunction expansion to solve the energy equation. For the eigenvalue problem we applied the shooting method and Galerkin method. The hydrodynamically isothermal developed flow is assumed to enter the microtube with uniform temperature or uniform heat flux boundary condition. The effects of velocity and temperature jump boundary condition on the microtube wall, axial conduction and viscous dissipation are included. From the temperature field obtained, the local Nusselt number distributions on the tube wall are obtained as the dimensionless parameters (Peclet number, Knudsen number, Brinkman number) vary. The fully developed Nusselt number for each boundary condition is obtained also in terms of these parameters.

Study of Mass and Flow Resistance in a Square Ribbed Microchannel using Lattice Boltzmann Method

  • Taher, Mohammad Abu;Kim, Heuy-Dong;Lee, Yeon-Won
    • Journal of Power System Engineering
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    • v.18 no.6
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    • pp.207-214
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    • 2014
  • Mass and flow resistance in a square ribbed microchannel have been studied numerically using the Lattice Boltzmann Method. It has been build up on two dimensional nine velocity vectors model with single relaxation time method called the Lattice Bhatnagor-Gross-Krook model. To analyze the roughness effect on the flow resistance namely the friction factor and mass flow has been discussed at the slip flow regime, $0.01{\leq}Kn{\leq}0.10$, where Kn is the Knudsen number. The wall roughness is considered by square microelements with a relative roughness height up to maximum 10% of channel height. The velocity profiles in terms of streamlines near the riblets are demonstrated to be responsible for the roughness effect. It is found that the roughness effect leads to increase the flow resistance with roughness height but it is decreased significantly with increasing the space between two roughness elements as well as the Knudsen number. In addition, the mass flow decreased linearly with increasing both roughness height and gap but significantly changed at the slip flow regime.

Numerical Analysis on Thermal Transpiration Flows for a Micro Pump (열천이 현상을 이용한 마이크로 펌프내의 희박기체유동 해석)

  • Heo, Joong-Sik;Lee, Jong-Chul;Hwang, Young-Kyu;Kim, Youn-J.
    • 유체기계공업학회:학술대회논문집
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    • 2006.08a
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    • pp.493-496
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    • 2006
  • Rarefied gas flows through two-dimensional micro channels are studied numerically for the performance optimization of a nanomembrane-based Knudsen compressor. The effects of the wall temperature distributions on the thermal transpiration flow patterns are examined. The flow has a pumping effect, and the mass flow rates through the channel are calculated. The results show that a steady one-way flow is induced for a wide range of the Knudsen number. The DSMC(direct simulation Monte Carlo) method with VHS(variable hard sphere) model and NTC(no time counter) techniques has been applied in this work to obtain numerical solutions.

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A Study on the Load Characteristics of Air-Lublicated Hydrodynamic Wave Journal Bearing (공기윤활 웨이브 저어널 베어링의 부하 특성에 관한 연구)

  • 조성욱;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1999.06a
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    • pp.156-161
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    • 1999
  • new bearing concept, the wave journal bearing, has been developed to improve the static and dynamic performances of an air-lubricated hydrodynamic journal bearing. This concept features waves on bearing surface. In this study, we present the solution of the compressible Reynolds equation valid for arbitrary Knudsen numbers. Straight wave journal bearing is investigated numerically. The performances of straight wave bearing are compared to the plain journal bearing over relatively wide range of bearing number and eccentricity. The wave journal bearing offers better stability than the plain journal bearing under a13 bearing numbers covered in this study. The bearing load and stability characteristics are dependent on the geometric parameters such as the amplitude and the starting point of the wave relative to the applied load. Under the condition of Knudsen number)0.01, we can not ignore the effect of slip for journal bearing.

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Numerical Simulation of Gaseous Flow in Microchannel

  • Islam, Md. Tajul;Lee, Jong-Hoon;Lee, Yeon-Won
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.3
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    • pp.272-281
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    • 2007
  • A numerical simulation on nitrogen gas flow in a long parallel plate microchannel was performed to obtain the effect of compressibility and rarefaction on gaseous flow in microchannels. The simulation was based on steady. two dimensional compressible Navier-Stokes and energy equations with noslip and first order slip boundary conditions. The channel was $1.2{\mu}m$ deep and $3000{\mu}m$ long. The Reynolds numbers were in the range of order from $10^{-2}$ to $10^{-1}$. So the flow was assumed to be laminar. The computations were performed on various pressure ratios. The outlet pressure was fixed to atmospheric pressure. The outlet Knudsen number was 0.0585, consequently the flow was in the slip flow regime. The computations were performed with the assumption of isothermal channel walls. The results were compared with the experimental data. The agreement was good.

Analysis of Flow Field around Multiple Fluid Spheres in the Low Knudsen Number Region (저 누드센 영역에서 다중 유체구 주위의 유동장 해석)

  • 정창훈;이규원
    • Journal of Korean Society for Atmospheric Environment
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    • v.19 no.6
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    • pp.733-743
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    • 2003
  • The flow field in multiple fluid sphere systems was studied analytically. The expanded zero vorticity cell model based on Kuwabara's theory (1959) was applied and the effects of gas slippage at the collecting surface were considered. Also, the solid sphere system was extended to fluid sphere including the effects of the induced internal circulation inside the liquid droplet spheres or gas bubble systems. As a result, the obtained analytic solution was converged to the existing solutions for flow field around solid and bubble sphere systems with proper boundary conditions. Based on the resolved flow field, the terminal velocity around the collecting fluid spheres was obtained. Subsequently, this study evaluated the most general solution for flow field around the multiple fluid sphere systems. The obtained flow field in multiple fluid sphere could be used as a fundamental consideration of wet scrubber design and devices for removing particles by fluid-fluid interactions.