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Illustration Pipe with Fluid and a Volumetric Flow Rate

Pipe with Fluid and a Volumetric Flow Rate
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A pipe of length \(L\) and radius \(R\) has a fluid (e.g. water) flowing through it. A volumetric flow rate \(Q\) (fluid volume per second) flows through the pipe due to a pressure difference \( \Delta \mathit{\Pi} = \mathit{\Pi}_1 - \mathit{\Pi}_2 \) at the beginning and end of the pipe.

The pipe serves as a sketch for Poiseulle's law.