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Calculate Static Gassing-In kLa Calculator for Bioreactors
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Find Engineering Solutions →Result Interpretation
Static Gassing-In kLa Calculator for Bioreactors calculator computes Volumetric oxygen mass transfer coefficient in 1/s using the defined engineering formula and the input values provided. Volumetric oxygen mass transfer coefficient is expressed in 1/s. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Time elapsed since gas stop = 45
- Initial dissolved oxygen concentration at t=0 (post-sparging stop) = 0.042
- Dissolved oxygen concentration at time t = 0.195
- Oxygen saturation concentration in medium at operating conditions = 0.248
Expected Result:
- Volumetric oxygen mass transfer coefficient = 0.030168539005277
Engineering Interpretation:
Under the given input conditions, the calculated result is: Volumetric oxygen mass transfer coefficient = 0.030168539005277 1/s.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
volumetric oxygen mass transfer coefficient = (1 / time elapsed since gas stop) * log((oxygen saturation concentration in medium at operating conditions - post-sparging stop) / (oxygen saturation concentration in medium at operating conditions - dissolved oxygen concentration at time time elapsed since gas stop))Formula family: formula_biotech_bioreactor_oxygen_transfer_coefficient_kla_calculator_from_static_gassing_in_method
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| t | Time elapsed since gas stop | INPUT | Time elapsed since gas stop |
| C0 | Initial dissolved oxygen concentration at t=0 (post-sparging stop) | INPUT | Initial dissolved oxygen concentration at t=0 (post-sparging stop) |
| Ct | Dissolved oxygen concentration at time t | INPUT | Dissolved oxygen concentration at time t |
| C_star | Oxygen saturation concentration in medium at operating conditions | INPUT | Oxygen saturation concentration in medium at operating conditions |
| result | Volumetric oxygen mass transfer coefficient | OUTPUT | Volumetric oxygen mass transfer coefficient |
Calculation Steps
- Enter the time elapsed since gas stop in s.
- Enter the initial dissolved oxygen concentration at t=0 (post-sparging stop) in mol/m^3.
- Enter the dissolved oxygen concentration at time t in mol/m^3.
- Enter the oxygen saturation concentration in medium at operating conditions in mol/m^3.
- Step 1: Compute volumetric oxygen mass transfer coefficient.
- Read the volumetric oxygen mass transfer coefficient (1/s) from the results.
Engineering Summary
Calculate Static Gassing-In kLa Calculator for Bioreactors
Frequently Asked Questions
What does this calculator calculate?
The Static Gassing-In kLa Calculator for Bioreactors calculator estimates Volumetric oxygen mass transfer coefficient based on the input parameters you provide
Why is time elapsed since gas stop important in this calculation?
time elapsed since gas stop is directly proportional to volumetric oxygen mass transfer coefficient. When you enter time elapsed since gas stop in s, the calculator uses it in the engineering formula to compute the output
How should I interpret the result volumetric oxygen mass transfer coefficient?
The calculator outputs volumetric oxygen mass transfer coefficient in 1/s. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Time elapsed since gas stop (s), Initial dissolved oxygen concentration at t=0 (post-sparging stop) (mol/m^3), Dissolved oxygen concentration at time t (mol/m^3), Oxygen saturation concentration in medium at operating conditions (mol/m^3). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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