Flow simulation through the pipe

Objective :

Run a pipe internal flow simulation with an inlet Reynolds number of 100,1000 and 10,000.

For each of these cases do the following

1. Place line probes at 95%, 90%, and 85% of the pipe length.
2. To compare the normalized velocity profile at each of these locations
3. Normalize the velocity profile by the inlet velocity.

The calculation for inlet velocity :

As we have Reynolds number of 100,1000,10000

we know

Kinematic viscosity of water at 20-degree celsius = 1.004 × 10^-6 m² /s

Let's take Internal diameter of the pipe (D) = 40 mm

Length of pipe = 1000 mm

therefore flow speed (m/s) = Reynold number * kinematic viscosity / Diameter

Therefore for flow speed is

1. For Re of 100 = 0.00251 m/s
2. For Re of 1000 = 0.0251 m/s
3. For Re of 10000 = 0.251 m/s

Modelling the pipe:

From the assumed diameter, we draw the circle with a thickness of 1mm and extruded to form the required cylinder for the simulation, after that create the three different sketches according to the condition

Setting simulation :

• First, provide the lids to have a simulation
• Set the boundary conditions as Environment pressure at one end and inlet velocity at another end
• set the wall boundary condition
• Creat the cut plots at a distance of the probe
• Create the XY plot for the comparison of plots

Results :

For Re of 100 :

Velocity graph :

For Re of 1000 :

Velocity graphs :

For Re of 10000 :

Velocity :

Comparing all three velocities :

Conclusion :

As the Reynolds number increases the velocity increases as per the relation and the flow tends to have more output velocity and lower boundary layer at probes comparing with other condition