Block Smoothly Curved Elbow (MA) simulates the flow of a rotating pipeline in a humid air network. In this case, pressure losses are calculated when the pipe is rotated, but the influence of viscous friction is not taken into account. The unit models losses using hydraulic loss coefficients, and the results can be more accurate for low-velocity flows where the effects of compressible flow can be neglected.
Two types of knee are available: Smoothly curved (smoothly curved) and Sharp-edged (Miter) (acute-angled or oblique).
Loss coefficients
If for the parameter Elbow type the value is set Smoothly curved The block calculates the loss factor as follows:
where — the angle correction coefficient calculated by the Keller block [2] as
where — value
the bending angle of the pipe in degrees. The block determines the coefficient of friction as a value for pure commercial steel. The block then interpolates the values from the tabular data depending on the inner diameter of the elbow for [1]. The table below shows data on friction in a pipe for pure commercial steel during flow in a zone of complete turbulence.
1
1.5
2
3
4
6
8
10
12
14
16
20
24
20
14
12
12
14
17
24
30
34
38
42
50
58
The values given are valid for diameters up to 600 The coefficient of friction for large diameters or for wall roughness outside this range is calculated by extrapolating the nearest neighbors.
If for the parameter Elbow type the value is set Sharp-edged (Miter), the block calculates the loss coefficient for the bending angle according to [1] as follows:
, °
0
15
30
45
60
75
90
2
4
8
15
25
40
60
Conservation of mass
The equations of conservation of mass for a section of pipe have the form:
where is the subscript denotes water vapor, — impurity gas, — drops of water.
The mass flow through the knee is
where
— flow area;
— the average density of the liquid;
— pressure drop in the pipe section.
Critical pressure drop It is the threshold value for the transition between laminar and turbulent flows.:
A non-directional port connected to the inlet or outlet port of a pipe section.
Program usage name
port_a
Parameters
Main
#Elbow type —
bending geometry
Smoothly curved | Sharp-edged (Miter)
Details
The geometry of the bend of the pipe section. If the value is set to Sharp-edged (Miter) The block makes a drastic change in the flow direction, for example, at the pipe junction, and flow losses are modeled by a separate set of empirical data obtained on pipe sections with gradual rotation.