Question

A pipe carrying 20°C water has a diameter of 3.8 cm. Estimate the maximum flow speed (cm/s) if the flow must be streamline. (The density of water is 1.00 x 10^3 kg/m^3.)

Answer 1

maximum flow speed is 5.278 cm/s

Step-by-step explanation:

given data

temperature = 20°C

diameter d = 3.8 cm

density of water ρ = 1 × 10³ kg/m³

to find out

maximum flow speed

solution

we have given steam line flow so it is laminar flow

and for laminar flow we know reynolds number is Re= 2000

so

Re =
`(\rho*v*d)/(\mu)` ............1

here μ is dynamic viscosity = 0.001003 for 20°C for water

put all value in equation 1

Re =
`(\rho*v*d)/(\mu)`

2000 =
`(1000*v*3.8*10^(-2))/(0.001003)`

solve it we get v

v = 0.0527 m/s

so maximum flow speed is 5.278 cm/s