A kinetic model for ideal plug-flow reactors

Ali San Hasan Ali San*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


Simultaneous differential equations of plug-flow reactors resulting from mass balances on substrate and biomass around an infinitesimal volume element are solved analytically taking the longitudinal biomass gradient into account under steady-state conditions. A relationship between substrate and biomass concentrations and an analytical solution for substrate and/or biomass concentration as a function of hydraulic residence time are developed. Design examples are given and these have shown that results of analytical solution are in good agreement with those of differential equations obtained by the finite difference method. Results of this work may help engineers to acquire a new understanding about the plug-flow reactors.

Original languageEnglish
Pages (from-to)647-654
Number of pages8
JournalWater Research
Issue number5
Publication statusPublished - May 1989


  • analytical solution
  • biomass gradient
  • differential equations
  • hydraulic residence time
  • Monod model
  • plug-flow reactors
  • steady-state conditions


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