First slide

Viscous flow/Laminar flow

Question

16cc of water flows per second through a capillary tube of radius a cm and length l cm when connected to a pressure head h cm of water. If a tube of same length and radius (a/2) cm is connected to the same pressure head, the quantity of water flowing through the second tube will be ______ (in cc)

Moderate

Solution

$V o l u m e f l o w r a t e = V_{t} = \frac{π △ P r^{4}}{8 η l} \Rightarrow V_{t} \propto r^{4} N e w v o l u m e f l o w r a t e = \frac{16}{16} = 1 c c$

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