Applying a pressure drop across a capillary results in a volumetric flow rate 'Q' under laminar flow conditions. The flow rate for the same pressure drop, in a capillary of the same length but half the radius is____________________?
Correct answer: C. Q/16
- A. Q/2
- B. Q/4
- C. Q/16
- D. Q/8
Explanation
For laminar flow through a capillary, the Hagen-Poiseuille equation gives Q proportional to r^4 for fixed pressure drop and length. Replacing r by r/2 therefore gives Q/16.
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