By means of dimensional analysis, show how the rate of flow of volume of liquid through a long tube depends on the pressure gradient, the viscosity of the liquid and the diameter of the tube. Any other dependences can be ignored.
Solution:
We want to find a, b and c in the following equation:
And the final answer can be written out in full:
Perhaps the most difficult part of this question would be recalling the dimensions of viscosity. Knowing an alternative equation containing would help and I leave it to the reader to find one, then it might stick.
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