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Applied Mathematics and Mechanics

, Volume 32, Issue 12, pp 1515–1524 | Cite as

Momentum equation for straight electrically charged jet

  • Ruo-jing Zhang (张若京)
  • S. H. Hou
  • C. K. ChanEmail author
Article

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.

Key words

electrically charged jet stability electrospinning 

Chinese Library Classification

O358 O361.6 O361.3 

2010 Mathematics Subject Classification

76A02 76B10 76W05 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Ruo-jing Zhang (张若京)
    • 1
  • S. H. Hou
    • 2
  • C. K. Chan
    • 2
    Email author
  1. 1.School of Aerospace Engineering and Applied MechanicsTongji UniversityShanghaiP. R. China
  2. 2.Department of Applied MathematicsThe Hong Kong Polytechnic UniversityHong KongP. R. China

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