The aim of this test case is to validate the following parameters of incompressible steady-state laminar fluid flow through a pipe:

Velocity

Pressure drop

The simulation results of SimScale were compared to the analytical results shown in [1]. The mesh was created with the parametrized – hexahedralization-tool on the SimScale platform.

A straight cylindrical pipe was chosen as the flow domain (see Fig.1.). Faces A, B and C represent the inlet, wall and outlet respectively.

Fig.1. Geometry of the cylindrical pipe

Length

Diameter

Value [m]

1

0.01

Analysis type and Domain

A uniformly-spaced hexahedral mesh was generated on the SimScale platform using the snappyHexMesh tool (see Fig.2.). It was observed that the presence of inflation layer doesn’t not si

Mesh type

Cells in x

Cells in y

Cells in z

Number of nodes

Type

snappyHexMesh

20

1600

20

341544

3D hex

Simulation Setup

Fluid:

Water: Dynamic viscosity (ν $\nu $

) =10−6m2s

$={10}^{-6}{m}^{2}s$

Boundary Conditions:

Boundary type

Velocity

Pressure

A

Inlet

Fixed Value: 0.1ms−1$0.1\text{}m{s}^{-1}$

Zero Gradient

B

Wall

Fixed Value: 0.0ms−1$0.0\text{}m{s}^{-1}$

Zero Gradient

C

Outlet

Zero Gradient

Fixed Value: 0.1Pa$0.1\text{}Pa$

Results

The analytical solution gives us the following equations for maximum axial velocity, pressure drop and developed radial velocity profile:

A comparison of the velocity and pressure drop obtained with SimScale with analytical results is given in Fig.3A, 3B and 3C. Fig.3A shows the developed radial velocity profile, located 60 cm from the inlet. The variation of the axial velocity along the center-line is shown in Fig.3B, and the pressure drop along the pipe can be observed in Fig.3C.

Fig.3. Visualization of Axial velocity and pressure (A, B) and developed radial velocity profile (C)

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