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A mathematical model for solid state fermentation in tray bioreactors

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Abstract

A simple mathematical model for the interaction of mass transport with biochemical reaction in solid state fermentations (SSF) in static tray type bioreactors under isothermal conditions has been developed. The analysis has enabled scientific explanations to a number of practical observations, through the concept of critical substrate bed thickness. The model will be most useful in the prediction of the concentration gradients as also in efficient design of these bioreactors.

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Abbreviations

C g/cm3 :

Oxygen concentration in the bed

C g g/cm3 :

Atmospheric oxygen concentration

C * :

Dimensionless oxygen concentration, C/C g

D e cm2/h:

Effective diffusivity

H cm:

Bed thickness or height

H c cm:

Critical bed thickness or height

H m cm:

Maximum height of zone of zero oxygen concentration

p i mg/(g · h):

Productivity (Eq. 13)

R g/(cm3 · h):

Biochemical reaction rate

t h:

Fermentation time

t * :

Dimensionless time, D e t/H2

X mg/cm3 :

Biomass concentration

X max mg/cm3 :

Maximum biomass concentration

y :

Dimensionless thickness or height, (y = z/H)

y′ cm:

Thickness of zone of zero oxygen concentration (Eq. 12)

Y \(\frac{{{\text{g biomass}}}}{{{\text{g oxygen}}}}\) :

Yield coefficient

z cm:

Bed thickness or height along tray axis

ɛ:

Bed void fraction

μmax h−1 :

Specific growth rate

φ :

Thiele modulus \(\sqrt {\frac{{H^2 R}}{{D_e C_g Y}}} \)

References

  1. Aiba, S.; Kobayashi, K.: Comments on oxygen transfer within a mold pellet. Biotechnol. Bioeng. 13 (1971) 583–588

    Google Scholar 

  2. Bajracharya, R.; Mudgett, R. E.: Effects of controlled gas environments in solid-substrate fermentations of rice. Biotechnol. Bioeng. 22 (1980) 2219–2235

    Google Scholar 

  3. Bhavaraju, S. M.; Blanch, H. W.: Mass transfer in mycelial pellets. J. Ferment. Technol. 53 (1975) 413–415

    Google Scholar 

  4. Cannel, E.; Moo-Young, M.: Solid-state fermentation systems. Process Biochem. 25 (1980) 24–28

    Google Scholar 

  5. Ghildyal, N. P.; Ramakrishna, S. V.; Devi, P. N.; Lonsane, B. K.; Asthana, H. N.: Large scale production of pectolytic enzymes by solid-state fermentation. J. Food Sci. Tech. 18 (1981) 248–251

    Google Scholar 

  6. Laukevics, J. J.; Apsite, A. F.; Viesturs, U. E.; Tengerdy, R. P.: Solid substrate fermentation of wheat straw to fungal protein. Biotechnol. Bioeng. 26 (1984) 1465–1474

    Google Scholar 

  7. Lonsane, B. K.; Ghildyal, N. P.; Budiatman, S.; Ramakrishna, S. V.: Enzyme Microb. Technol., 7 (1985): 258–265

    Google Scholar 

  8. Moo-Young, M.; Moreira, A. R.; Tengerdy, R. P.: Principles of solid state fermentation. in: Smith, J. E.; Berry, D. A.; Kristiansen, B.: (Eds.): The filamentous fungi, vol. 4, pp. 117–144, New Delhi, Oxford IBH publishers, (1983)

    Google Scholar 

  9. Mudgett, R. E.: Controlled gas environments in industrial fermentations. Enzyme Microb. Technol. 2 (1980) 273–280

    Google Scholar 

  10. Mudgett, R. E.; Bajracharya, R.: Effects of controlled gas environments in microbial enhancement of plant protein recovery. J. Food Biochem. 3 (1979) 135–149

    Google Scholar 

  11. Ollis, D. F.: A simple batch fermentation model: Theme and Variations. Ann. N. Y. Acad Sci. 413 (1983) 144–156

    Google Scholar 

  12. Phillips, H. H.: Oxygen transfer into mycelial pellets Biotechnol. Bioeng. 8 (1966) 456–460

    Google Scholar 

  13. Rathbun, B. L.; Shuler, M. L.: Heat and mass transfer effects in static solid substrate fermentation — design of fermentation chambers. Biotechnol. Bioeng. 25 (1983) 929–938

    Google Scholar 

  14. Masamune, S.; Smith, J. M.: Pore diffusion in silver catalysts. AIChE Journal. 8 (1962) 217–221

    Google Scholar 

  15. Sugama, S.; Okazaki, N.: Growth estimation of Aspergillus oryzae cultured on solid media. J. Ferment. Technol 57 (1979) 408–412

    Google Scholar 

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Authors and Affiliations

  1. Process Engineering and Plant Design, Mysore, India

    K. S. M. S. Raghava Rao, M. K. Gowthaman & N. P. Ghildyal

  2. Fermentation Technology and Bioengineering, Central Food Technological Research Institute, 570013, Mysore, India

    N. G. Karanth

Authors
  1. K. S. M. S. Raghava Rao
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  2. M. K. Gowthaman
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  3. N. P. Ghildyal
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  4. N. G. Karanth
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Raghava Rao, K.S.M.S., Gowthaman, M.K., Ghildyal, N.P. et al. A mathematical model for solid state fermentation in tray bioreactors. Bioprocess Engineering 8, 255–262 (1993). https://doi.org/10.1007/BF00369838

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  • DOI: https://doi.org/10.1007/BF00369838

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