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  • 1
    Electronic Resource
    Electronic Resource
    Mathematical modeling of mixing in a horizontal rotating tubular bioreactor: “Simple flow” model (1996)
    Springer
    Bioprocess and biosystems engineering 14 (1996), S. 195-204 
    Details
    ISSN: 1432-0797
    Source: Springer Online Journal Archives 1860-2000
    Topics: Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract The construction of the horizontal rotating tubular bioreactor (HRTB) represents a combination of a “thin-layer” bioreactor and a “biodisc” reactor. The bioreactor was made of a plastic tube whose interior was divided by the O-ring shaped partition walls. For the investigation of mixing properties in HRTB the temperature step method was applied. The temperature change in the bioreactor as a response to a temperature step in the inlet flow was monitored by six Pt-100 sensors (t 90 response time 0.08 s and resolution 0.002 °C) which were connected with an interface unit and personal computer. Mixing properties of the bioreactor were modeled using the modified “tank in series” concept which divided the bioreactor into ideally mixed compartments. A mathematical mixing model with “simple flow” was developed according to the physical model of the compartments network and corresponding heat balances. Numerical integration of an established set of differential equations was done by the Runge-Kutt-Fehlberg method. The final mathematical model with “simple flow” contained four adjustable parameters (N1,Ni, F cr andF p ) and five fixed parameters.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01464734
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Mathematical modeling of mixing in a horizontal rotating tubular bioreactor: “Spiral flow” model (1996)
    Springer
    Bioprocess and biosystems engineering 14 (1996), S. 223-229 
    Details
    ISSN: 1432-0797
    Source: Springer Online Journal Archives 1860-2000
    Topics: Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract A horizontal rotating tubular bioreactor (HRTB) was designed as a combination of a “thin-layer bioreactor” and a “biodisc” reactor whose interior was divided by O-ring shaped partition walls. For the investigation of mixing in HRTB the temperature step method was applied. Temperature changes in the bioreactor were monitored by six Pt-100 sensors (t 90 response time 0.08 s and resolution 0.002 °C) which were connected with an interface unit and a personal computer. In this work a modified “tank in series” concept was used to establish a mathematical model. The heat balance of the model compartments was established according to the physical model and the “spiral flow” pattern. Numerical integration was done by the Runge-Kutta-Fehlberg method. The mathematical mixing model called “spiral flow” model contained four adjustable parameters (N1, Ni, F cr and F p) and five parameters which characterized the plant and experimental conditions. The “spiral flow” model was capable to describe the mixing in HRTB properly, and its applicability was much better than with the “simple flow” model, presented earlier.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00369917
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Studies on mixing in horizontal rotating tubular bioreactor (1998)
    Springer
    Bioprocess engineering 19 (1998), S. 19-28 
    Details
    ISSN: 0178-515X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract In previous investigations on mixing in a horizontal rotating tubular bioreactor (HRTB) the structured “spiral flow” model was developed which contained four adjustable parameters [1, 2]. In order to incorporate the mixing model in a semifundamental scale-up procedure it was necessary to make a relation between the adjustable model parameters and process parameters of the bioreactor expressed as dimensionless numbers. Mathematical equations which relate adjustable model parameters with dimensionless numbers were developed by non-linear and surface regression methods. These equations were applied to develop the prediction systems for adjustable model parameters. In total, nine systems of equations for the prediction of the adjustable model parameters were established and examined by simulation. Three of them (SC-2, SC-6 and SC-9) were selected as adequate to describe the mixing performance of HRTB in a wide range of process conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004490050477
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Estimation of axial dispersion in horizontal rotating tubular bioreactor by means of a structured model (2000)
    Springer
    Bioprocess engineering 23 (2000), S. 265-274 
    Details
    ISSN: 0178-515X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract  A horizontal rotating tubular bioreactor (HRTB) is designed as the combination of a “thin layer bioreactor” and a “biodisc” reactor. The investigation of mixing in HRTB was done by the temperature step method in a wide range of process conditions [residence time (t z =360036000 s) and bioreactor rotation speed (n=0.0830.917 s−1)]. In all experiments heat losses were detected. A mathematical model based on “tank in series” concept was developed to describe the mixing in HRTB – a “spiral flow” model (SFM) which has incorporated heat losses. However, the simulations of SFM could be used for calculation of temperature response curves for the case when there is no heat losses. These corrected curves were used then to estimate Bodenstein number as a parameter of standard dispersion model (SDM). The obtained Bodenstein numbers were in the range 10–17. The simulations showed that SFM was more capable to describe the mixing in HRTB giving better fitting with experimental measurements than SDM, indicating that mixing pattern in HRTB is too complex to be described with this relatively simple, one-parameter model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004499900166
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    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Studies on mixing in horizontal rotating tubular bioreactor (1998)
    Springer
    Bioprocess engineering 19 (1998), S. 91-102 
    Details
    ISSN: 0178-515X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract Mixing studies in the horizontal rotating tubular bioreactor (HRTB) were done to explore the influences of the liquid level (H M =0.050.08 m) and the distance between the partition walls (D S =0.020.07 m) on the mixing performance in the bioreactor described by the “spiral flow” model. The optimised adjustable parameters of the model were correlated with the process parameters of the bioreactor expressed as dimensionless numbers: Reynolds rotation number (Re N ) and Reynolds axial flow number (Re D ). The polynomial coefficients of the correlations were correlated further with the liquid level in the bioreactor (H M ) and the distance between the partition walls (D S ). In that way, three modified prediction systems (SC-2A, SC-6A and SC-9A) were established. The analysis based on different criteria selected the prediction system SC-9A as the most suitable to describe the mixing performance of HRTB.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004490050488
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Studies on mixing in horizontal rotating tubular bioreactor (1998)
    Springer
    Bioprocess engineering 18 (1998), S. 467-473 
    Details
    ISSN: 0178-515X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract  A horizontal rotating tubular bioreactor (HRTB) is a combination of a “thin-layer bioreactor” and a “biodisc” reactor. Its interior is divided by O-ring shaped partition walls. Mixing properties of this new type of the bioreactor were investigated by using a temperature step method. The mixing simulations were done by Runge-Kutta-Fehlberg numerical integration. Adjustable parameters of the “spiral flow” model were optimised by Monte-Carlo method. In this investigation, the structured “spiral flow” model (containing four adjustable parameters) was tested in a wide range of experimental conditions. The results show that the structured “spiral flow” model is capable to describe the mixing in HRTB in the whole range of both bioreactor operational parameters (n and D).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004490050473
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    Paper (German National Licenses)
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