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# What is Poiseuille's law? What is the physical significance of the Poiseuille's law?

What is Poiseuille's law? What is the physical significance of the Poiseuille's law?

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Poiseuille's Law:"For a specified flow rate, the pressure drops and thus the required pumping power is proportional to the length of the pipe and the viscosity of the fluid, but it is inversely proportional to the fourth power of radius(or diameter) of pipe."

The physical significance is that if the pipe's diameter is halved, the pumping power increases by a factor of 16.