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Micro-macro transition for numerical simulation of submerged membrane bioreactor


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Figure 1

Picture of the membrane.
Picture of the membrane.

Figure 2

Geometric model of the bubble column with membrane module.
Geometric model of the bubble column with membrane module.

Figure 3

Geometric model of the cell, created with a CAD modeler. (a – basic volume of the single-cell; b- the added volume of the fluid in front and behind the membrane)
Geometric model of the cell, created with a CAD modeler. (a – basic volume of the single-cell; b- the added volume of the fluid in front and behind the membrane)

Figure 4

Geometrical model of the fluid part for a different number of single cells.
Geometrical model of the fluid part for a different number of single cells.

Figure 5

The permeability of the membrane by simulation of one, two and four cells from the representative area of the membrane structure and for fluids with different viscosity.
The permeability of the membrane by simulation of one, two and four cells from the representative area of the membrane structure and for fluids with different viscosity.

Figure 6

The fluid flow depending on the viscosity.
The fluid flow depending on the viscosity.

Figure 7

Water volume fraction (a), gas holdup (b), water velocity (c) and air velocity (d) in bubble column at the numerical solution with superficial gas velocity 0,5 m/s and bubble diameter 3 mm.
Water volume fraction (a), gas holdup (b), water velocity (c) and air velocity (d) in bubble column at the numerical solution with superficial gas velocity 0,5 m/s and bubble diameter 3 mm.

Table 1

k(m2)Q (numerical)(m3/s)Q (Darsy’s law)(m3/s)
1.00 E-135.65 E-095.56 E-09
1.00 E-105.60 E-065.56 E-06
1.00 E-085.61 E-045.56 E-04
1.00 E-075.56 E-035.56 E-03
1.00 E-063.90 E-025.56 E-02
eISSN:
2564-615X
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
4 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Biologie, Genetik, Biotechnologie, Bioinformatik, andere