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InterviewSolution
| 1. |
Derive stocks law by dimensional analysis |
| Answer» Dimensional analysis proof of Stokes\' LawSuppose that the sphere has radius r and falls through a fluid of viscosity η. Let the terminal velocity be v .\xa0We can calculate the viscous drag F on the sphere by dimensional analysis.If F = krxηyvzWe have MLT-2 = Lx(ML-1T-1)y(LT- 1)zSolving this gives x = 1, y = 1 and z = 1.By other methods k can be shown to be 6π.F = 6πηrv | |