Blasius theorem

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In fluid dynamics, Blasius theorem states that [1][2][3] the force experienced by a two-dimensional fixed body in a steady irrotational flow is given by

and the moment about the origin experienced by the body is given by

Here,

  • is the force acting on the body,
  • is the density of the fluid,
  • is the contour flush around the body,
  • is the complex potential ( is the velocity potential, is the stream function),
  • is the complex velocity ( is the velocity vector),
  • is the complex variable ( is the position vector),
  • is the real part of the complex number, and
  • is the moment about the coordinate origin acting on the body.

The first formula is sometimes called Blasius–Chaplygin formula.[4]

The theorem is named after Paul Richard Heinrich Blasius, who derived it in 1911.[5] The Kutta–Joukowski theorem directly follows from this theorem.

References

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