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solenoidal

solenoidal

9.9
A field of movement that has no start and no end, like a magnetic field
  • adjective
  • /ˌsɒlɪˈnɔɪdəl/
  • Specialized
: solenoidal
  • In fluid dynamics, an incompressible flow is described as solenoidal because its divergence is zero.

Examples

  • The magnetic field around a current-carrying wire is a classic example of a solenoidal vector field.

  • An incompressible fluid has a solenoidal velocity field.

  • Engineers often analyze solenoidal fields when studying electromagnetic phenomena.

  • The solenoidal field is essential in electromagnetism.

  • In fluid dynamics, an incompressible flow is described as solenoidal because its divergence is zero.

  • The magnetic field around a current-carrying wire is a classic example of a solenoidal vector field.

  • Engineers often analyze solenoidal fields when studying electromagnetic phenomena.

Surface Forms

solenoidal positive

Morphology

solenoidal = solenoid (opaque) = solenoid + al

The word is formed from 'solenoid' + '-al', but the specialized meaning 'having zero divergence' is not directly predictable from the base word.

Etymology

Solenoidal comes from the word solenoid, which uses the Greek root solen meaning 'pipe' and the ending -oid meaning 'like'. Think of field lines running in closed, pipe-like loops with no beginning or end, so a solenoidal field has no net sources and its divergence is zero.