Neha Patil (Editor)

Chaplygin's equation

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In mathematics, Chaplygin's equation, named after Sergei Alekseevich Chaplygin, is a partial differential equation useful in the study of transonic flow. It is

f θ θ + v 2 1 − v 2 c 2 f v v + v f v = 0.

Here, c = c ( v ) is the speed of sound, determined by the equation of state of the fluid and conservation of energy.

References

Chaplygin's equation Wikipedia
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