First slide

Viscous flow/Laminar flow

Question

A capillary tube is attached horizontally to a constant pressure head arrangement. If the radius of the capillary tube is increased by 10%, then the rate of flow of the liquid
shall change nearly by

Moderate

A

+10%
B

46%
C

-10%
D

-40%

Solution

$\begin{array}{l} V o l u m e f l o w r a t e = V = \frac{△ P π r^{4}}{8 η L} \\ ∴ V \propto r^{4} a n d V' \propto {(r + \frac{1}{10} r)}^{4} \\ T h u s, \frac{V'}{V} = \frac{11 \times 11 \times 11 \times 11}{10 \times 10 \times 10 \times 10} = 1.4641 \\ or (\frac{V'}{V} - 1) \times 100 = 46.4 % \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App