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Impulse of a Vortex System in a Bounded Fluid

  • E. R. Huggins

Abstract

We derive, from the equation of motion of a classical constant-density fluid, the dynamic equation for the fluid impulse of a vortex system in a bounded charged or uncharged fluid. The result is an integral theorem which primarily describes the effect of nonpotential forces upon the vorticity ω ≡ ∇ × v [or ω ≡∇ × v + (q/m) B field for charged fluids]. Although the equations treat ω as a continuous field, the main application of the theorem* has been to quantum fluids where a vortex core is usually considered to be a δ-function singularity in the field ∇ × v. Figure 1, however, shows how the concept of a continuous vorticity field can be applied to a quantum fluid if we redefine w as the curl of the physical current j = ρv.

Keywords

Gauge Transformation Vortex Ring Vortex Core Vorticity Field Potential Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • E. R. Huggins
    • 1
  1. 1.Department of PhysicsDartmouth CollegeHanoverUSA

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