Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 11 - Fluids - Focus On Concepts - Page 308: 13

Answer

$\therefore$ The Volume flow rate will remain the same in the section of pipe.

Work Step by Step

According to the Continuity equation, the mass flow rate is the same value everywhere in the tube $$\text{Mass Flow rate} = \frac{\Delta M_2}{\Delta t} = \rho\times A\times v$$ Since the density of an incompressible fluid does not change during flow $$\rho_{1} = \rho_{2}$$ $$\rho\times A_{1}\times V_{1} = \rho\times A_{2}\times V_{2}$$ $$A_{1}\times V_{1} = A_{2}\times V_{2}$$ So, as per the above equation, the Velocity of fluid increases where the area (i.e A) is small and vice versa. $\therefore$ The Volume flow rate will remain same in section of pipe.
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