Question

Water flows through a horizontal plastic pipe with a diameter of 0.15 m at a velocity of 15 cm/s. Determine the pressure drop per meter of pipe (in Pa/m)

Answer 1

Answer:0.1898 Pa/m

Step-by-step explanation:

Given data

Diameter of Pipe
`\left ( D\right )=0.15m`

Velocity of water in pipe
`\left ( V\right )=15cm/s`

We know viscosity of water is
`\left (\mu\right )=8.90*10^(-4)pa-s`

Pressure drop is given by hagen poiseuille equation

`\Delta P=(128\mu \L Q)/(\pi D^4)`

We have asked pressure Drop per unit length i.e.

`(\Delta P)/(L) =(128\mu \ Q)/(\pi D^4)`

Substituting Values

`(\Delta P)/(L)=(128*8.90*10^(-4)*\pi *\left ( 0.15^(3)\right ))/(\pi* 4 *\left ( 0.15^(2)\right ))`

`(\Delta P)/(L)`=0.1898 Pa/m