- #1

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What about the same problem but incident upon an infinite plane? Would the velocity not vanish at the surface?

- Thread starter Euclid
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- #1

- 214

- 0

What about the same problem but incident upon an infinite plane? Would the velocity not vanish at the surface?

- #2

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I gather you are asking about the no-slip boundary condition?

- #3

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[tex]\psi = -\frac{1}{2} U r^2 sin^2 \theta + \frac{\lambda}{r} sin^2\theta[/tex]

[tex]\psi = 0 => r = a = (\frac{2\lambda}{U})^{1/3}[/tex]

[tex] v_r = -\frac{1}{r^2 sin\theta} \frac{\partial \psi}{\partial \theta} [/tex]

[tex] v_r = U cos\theta (1 - \frac{a^3}{r^3})[/tex]

so the radial component does appear to vanish at the surface [tex] r = a [/tex]

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