2013
DOI: 10.1016/j.energy.2013.08.055
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A 1D mathematical model for a microbial fuel cell

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Cited by 90 publications
(56 citation statements)
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“…Q ¼ 3:68 Â 10 À5 I V Tr H2;cat (2)(3)(4)(5)(6) where 3.68 Â 10 À5 is a constant that includes Faraday's constant, I v (A/m 3 ) Iv ¼ Imax=VL ¼ Umax=ReVL is the volumetric current density, and U max is the maximum voltage averaged over stable phase.…”
Section: Calculationsmentioning
confidence: 99%
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“…Q ¼ 3:68 Â 10 À5 I V Tr H2;cat (2)(3)(4)(5)(6) where 3.68 Â 10 À5 is a constant that includes Faraday's constant, I v (A/m 3 ) Iv ¼ Imax=VL ¼ Umax=ReVL is the volumetric current density, and U max is the maximum voltage averaged over stable phase.…”
Section: Calculationsmentioning
confidence: 99%
“…IE ps À I 2 Re dt (2)(3)(4)(5) whereDH H2 is heat of combustion of hydrogen (KJ/mol) and E ps (V) is the voltage from additional power supplies.…”
Section: Calculationsmentioning
confidence: 99%
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“…Although the physical and biochemical behavior through the general mass balancing were implemented in this model allowing it to be brought under a mixed-culture MFC, due to several unknown model parameters and heavy mathematical calculations, its applications were limited in the range of simple substrates and it could not be performed on a complex wastewater feed [11]. Oliveira et al [12] proposed a simple model with rapid implementation and computations to describe the effect of some operational conditions such as temperature and substrate concentration on the MFC performance. It was one-dimensional model coupled with transport phenomena consist of heat, charge and mass transfer as well as biofilm modeling.…”
Section: Introductionmentioning
confidence: 99%
“…Thus, according to the EET mechanism employed by the biofilm, different behaviors are expected. Systematically, the models available in the literature state that the biological reaction can be described by a dual limitation relationship, which involves the substrate concentration and the contraction or the electric potential of the EET mechanism (Picioreanu et al, 2007, Marcus et al, 2007, Pinto et al, 2010Oliveira et al, 2013b). The EET is modeled according to the mechanism used by the exoelectrogenic bacteria: If the transport is done by mediators, it can be modeled by applying Fick's law (Picioreanu et al, 2007(Picioreanu et al, , 2010 or, if transport is by conduction through the solid components of the biofilm, it can be modeled by applying Ohm's law (Marcus et al, 2007).…”
Section: Introductionmentioning
confidence: 99%