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Analytical Solution of the Graetz Problem Extended to Slip-Flow in Microtube

机译:扩展到微管中滑流的Graetz问题的解析解

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摘要

The original Graetz problem is extended to slip-flow in microtube. The extended Graetz problem in slip-flow with the isothermal boundary condition on the wall was solved using conventional energy equation with both the velocity slip and the temperature jump condition of slip-flow. The analytical solution was obtained by solving the energy equation with the method of separation of variables. The accurate eigenvalues were obtained by solving the eigenfunction with the method of power series expansion. In the end, temperature distributions, local Nusselt number Nu_x, and dimensionless temperature jump θ_s were obtained. In addition, the influences of Knudsen number Kn on Nu_x, Nu_∞, and θ_s were discussed.
机译:最初的Graetz问题扩展到微管中的滑流。利用传统的能量方程,利用滑移的速度滑移和温度跃变条件,解决了壁上等温边界条件下滑移中扩展的Graetz问题。通过用变量分离法求解能量方程来获得解析解。通过使用幂级数展开法求解本征函数,可以获得准确的本征值。最后,获得了温度分布,局部Nusselt数Nu_x和无因次温度跳变θ_s。此外,还讨论了克努森数Kn对Nu_x,Nu_∞和θ_s的影响。

著录项

  • 来源
    《Journal of Heat Transfer》 |2012年第10期|p.104501.1-104501.2|共2页
  • 作者

    Fayao Xu; Hugen Ma;

  • 作者单位

    College of Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;

    College of Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;

  • 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

    microtube; slip-flow; graetz problem; velocity slip; temperature jump;

    机译:微管滑流格拉茨问题速度滑移温度跳跃;

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