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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (12): 1515-1524.doi: https://doi.org/10.1007/s10483-011-1520-9

• Articles • 上一篇    下一篇

Momentum equation for straight electrically charged jet

张若京1 S.H.HOU2 C.K.CHAN2   

  1. 1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, P. R. China;
    2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, P. R. China
  • 收稿日期:2011-01-19 修回日期:2011-11-05 出版日期:2011-12-09 发布日期:2011-12-01

Momentum equation for straight electrically charged jet

ZHANG Ruo-Jing1, S.H.HOU2, C.K.CHAN2   

  1. 1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, P. R. China;
    2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, P. R. China
  • Received:2011-01-19 Revised:2011-11-05 Online:2011-12-09 Published:2011-12-01

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被引次数

2

摘要： A one-dimensional momentum conservation equation for a straight jet driven by an electrical field is developed. It is presented in terms of a stress component, which can be applied to any constitutive relation of fluids. The only assumption is that the fluid is incompressible. The results indicate that both the axial and radial constitutive relations are required to close the governing equations of the straight charged jet. However, when the trace of the extra stress tensor is zero, only the axial constitutive relation is required. It is also found that the second normal stress difference for the charged jet is always zero. The comparison with other developed momentum equations is made.

Abstract: A one-dimensional momentum conservation equation for a straight jet driven by an electrical field is developed. It is presented in terms of a stress component, which can be applied to any constitutive relation of fluids. The only assumption is that the fluid is incompressible. The results indicate that both the axial and radial constitutive relations are required to close the governing equations of the straight charged jet. However, when the trace of the extra stress tensor is zero, only the axial constitutive relation is required. It is also found that the second normal stress difference for the charged jet is always zero. The comparison with other developed momentum equations is made.

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