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Energy Equation of Gas Flow With Low Velocity in a Microchannel

机译:微通道中低速气流的能量方程

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摘要

The energy equation for constant density fluid flow with the viscous dissipation term is often used for the governing equations of gas flow with low velocity in microchannels. If the gas is an ideal gas with low velocity, the average temperatures at the inlet and the outlet of an adiabatic channel are the same based on the first law of the thermodynamics. If the gas is a real gas with low velocity, the average temperature at the outlet is higher or lower than the average temperature at the inlet. However, the outlet temperature which is obtained by solving the energy equation for constant density fluid flow with the viscous dissipation term is higher than the inlet gas temperature, since the viscous dissipation term is always positive. This inconsistency arose from choice of the relationship between the enthalpy and temperature that resulted in neglecting the substantial derivative of pressure term in the energy equation. In this paper, the energy equation which includes the substantial derivative of pressure term is proposed to be used for the governing equation of gas flow with low velocity in microchannels. The proposed energy equation is verified by solving it numerically for flow in a circular microtube. Some physically consistent results are demonstrated.
机译:具有粘性耗散项的恒定密度流体流的能量方程式通常用于微通道中低速气流的控制方程式。如果气体是低速的理想气体,则基于热力学第一定律,绝热通道入口和出口的平均温度相同。如果气体是低速的真实气体,则出口处的平均温度高于或低于入口处的平均温度。但是,由于粘性耗散项始终为正,因此通过用粘性耗散项求解恒密度流体流动的能量方程式所获得的出口温度高于入口气体温度。这种不一致是由于选择焓和温度之间的关系而导致忽略了能量方程中压力项的实质导数。本文提出了一种包含压力项实质导数的能量方程,用于微通道中低速气流的控制方程。通过数值求解圆形微管中的流动,验证了所提出的能量方程。证明了一些物理上一致的结果。

著录项

  • 来源
    《Journal of Heat Transfer》 |2016年第4期|041702.1-041702.5|共5页
  • 作者

    Yutaka Asako;

  • 作者单位

    Malaysia-Japan International Institute of Technology, University Technology Malaysia, Jalan Semarak, 54100 Kuala Lumpur, Malaysia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    energy equation; viscous dissipation term; gas flow; microchannel;

    机译:能量方程粘性耗散项气流微通道;
  • 入库时间 2022-08-18 00:22:11

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