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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