WOLFRAM|DEMONSTRATIONS PROJECT

Frictional Pressure Drop in a Pipe

​
plot
f vs.
Re
f
ΔP
f
vs. Q
ΔP
f
vs. D
ΔP
f
vs. L
volumetric flow rate
Q (
3
m
/min)
1.5
pipe diameter
D (cm)
4.
pipe length
L (m)
20.
roughness index
ϵ/D
0.
density
ρ (kg/
3
m
)
910.
viscosity
μ (Pa s)
0.084
mass flow rate, mfr (kg/min) = 1365.
Reynolds number, Re = 8,621.
friction factor, f = 0.0080
pressure drop, Δ
P
f
(kPa) = 2,894.
This Demonstration calculates and displays the pressure drop in a pipe due to friction as a function of the liquid's volumetric flow rate, the pipe's diameter, length, and degree of roughness, and the liquid's density and viscosity. It also calculates and displays the liquid's mass flow rate, the Reynolds number, and the corresponding friction factor. You can choose one of the following plots to display: the friction factor versus Reynolds number (Moody diagram) or the pressure drop versus the flow rate, the pipe's diameter, or its length.