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phase distribution in a bio reactor

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Old   September 24, 2001, 10:02
Default phase distribution in a bio reactor
  #1
Stefan Leschka
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Hi everybody, I have to write a c code for the phase distribution in a bio reactor. So far I have the Navier-Stokes for pressure and velocity field. But what can calculate my phase distribution? I would be delighted for any suggestions. Thanks in advance, Stefan
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Old   September 24, 2001, 10:22
Default Re: phase distribution in a bio reactor
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Junseok Kim
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Would you describe more detail about your phase distribution? My research area is multi-phase fluid flow, so I may have interest in your field.

What are governing equations for the phase distribution in a bio reactor?

Junseok Kim
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Old   September 24, 2001, 10:50
Default Re: phase distribution in a bio reactor
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Stefan Leschka
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Hello Mr. J. Kim,

thanks for your answer.

The bio reactor is filled with water. From holes the bottom come air bubbles and also some small solid particles with a diameter of some millimeters exist in the reactor. The reactor is a cylinder of 40cm in diameter and 5m in height. I transformed the Navier-Stokes equations to cylinder coordinates and redused it to a two dimensional form. I planned to let the continuity equation approximate a unit pressure field. This field I want to use in the momentum balance equations of each phase to calculate the velocities in an inner loop. Each equation needs a factor (between 0 and 1), which determines the volume fraction of the phase in the computational cell.

I guess, in my plan an outer loop is missing, which calculates these volume fractions and I have no idea of the equation, which can handle this problem.

Further I want to discretize the equations using finite volume differences, but I am still fighting with the integral law of Gauss to transform the volume integral into a surface intagral, because I never did a disretization in cylinder coordinates.

Thanks for thinking in my problem.

Regards,

Stefan
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