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Dimensional derivation of Stoke's law?
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Dimensional derivation of Stoke's law?
Dimensional analysis proof of Stokes' Law
Suppose that the sphere has radius r and falls through a fluid of viscosity η. Let the terminal velocity be v (Figure 1). 

We can calculate the viscous drag F on the sphere by dimensional analysis. 

If

F = krxηyvz 

We have MLT-2 = Lx(ML-1T-1)y(LT- 1)z

Solving this gives x = 1, y = 1 and z = 1. 

By other methods k can be shown to be 6π.

Thus giving:



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Dimensional derivation of Stoke's law?
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