Question

What is the maximum volume flow rate, in m^3/hr, of water at 15.6°C a 10-cm diameter pipe can carry such that the flow will be laminar?

Answer 1

Answer:

Q = 0.00017597 m3/sec

Explanation:

given data:

temperature of water 15.6 degree celcius

diameter = 10cm =0.1 m

dynamix viscosity of water = .0011193 kg/m sec at 15.6 degree celcius

density of water at 15.6 degree = 999.07 kg/m3

for laminar flow REYNOLD NUMBER < 2000

maximum flow rate =area*velocity

Reynold number $Re = \frac{\rho vd}{\mu}$

$v = \frac{Re \mu}{\rho d}$$v = \frac{2000*0.00011193}{999.07 *0.1}$

v = 0.022406 m/sec

$Q =\frac{\pi}{4} d^2 v$

where Q is flow expressed in m^3/s

$Q =\frac{\pi}{4} *0.1^2 *0.022406$

Q =0.00017597 m3/sec