2012
DOI: 10.1002/btpr.1540
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Theoretical investigation of biomass productivities achievable in solar rectangular photobioreactors for the cyanobacterium Arthrospira platensis

Abstract: Modeling was done to simulate whole‐year running of solar rectangular photobioreactors (PBRs). Introducing the concept of ideal reactor, the maximal biomass productivity that could be achieved on Earth on nitrate as N‐source was calculated. Two additional factors were also analyzed with respect to dynamic calculations over the whole year: the effect of PBR location and the effects of given operating conditions on the resulting decrease in productivity compared with the ideal one. Simulations were conducted for… Show more

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Cited by 45 publications
(69 citation statements)
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“…All the PBRs used in this study present light attenuation along only one main direction (i.e., the depth of culture z ) so we can apply the two‐flux model already shown to be efficient in several studies . A complete description can be found in Pottier et al and in Pruvost et al The two‐flux model was expressed in this study as a function of the wavelength and the incident angle θ , to take into account the general case of oblique irradiation with any incident light spectrum. For all the PBRs and conditions tested, the irradiance field was then given by the general formula (collimated incident light): Gλqλ=2normalcos|θ[]|RS|1+αλnormalenormalxnormalp|δλL|1αλnormalenormalxnormalp|δλLnormalenormalxnormalp[]|δλz+[]||1+αλnormalenormalxnormalp|δλLRS|1αλnormalenormalxnormalp|δλLnormalenormalxnormalp[]|δλz|1+αλ2normalenormalxnormalp|δλL|1αλ2normalenormalxnormalp|δλL+RS|1αλ2[]|normalenormalxnormalp|δλLnormalenormalxnormalp|δλ<...>…”
Section: Theoretical Considerationsmentioning
confidence: 99%
“…All the PBRs used in this study present light attenuation along only one main direction (i.e., the depth of culture z ) so we can apply the two‐flux model already shown to be efficient in several studies . A complete description can be found in Pottier et al and in Pruvost et al The two‐flux model was expressed in this study as a function of the wavelength and the incident angle θ , to take into account the general case of oblique irradiation with any incident light spectrum. For all the PBRs and conditions tested, the irradiance field was then given by the general formula (collimated incident light): Gλqλ=2normalcos|θ[]|RS|1+αλnormalenormalxnormalp|δλL|1αλnormalenormalxnormalp|δλLnormalenormalxnormalp[]|δλz+[]||1+αλnormalenormalxnormalp|δλLRS|1αλnormalenormalxnormalp|δλLnormalenormalxnormalp[]|δλz|1+αλ2normalenormalxnormalp|δλL|1αλ2normalenormalxnormalp|δλL+RS|1αλ2[]|normalenormalxnormalp|δλLnormalenormalxnormalp|δλ<...>…”
Section: Theoretical Considerationsmentioning
confidence: 99%
“…Absorption (Beer‐Lambert), scattering phase function (Henyey‐Greenstein) , reflection on surfaces (Fresnel), and refraction (Descartes) through the transparent walls of the PBR were taken into account in a MATLAB 2016a homemade code. The absorption and scattering coefficients of Spirulina are given by Pruvost , E a =162 m 2 kg −1 and E s = 640 m 2 kg −1 . The anisotropy of the scattering phase function is taken from Dauchet , g = 0.97.…”
Section: Resultsmentioning
confidence: 99%
“…On a lineal projection, considering the conservative surface biodiesel productivity rate of 15 m 3 /ha/year of a mixed microalgae farming plant (hybrid system, PBR as inoculum for RWP) [8,[23][24][25], discussed in the Introduction, the potential 103,600 ha identified (see Table 3) could produce 1,554,000 m 3 /year of biodiesel. With this volumetric flux it would be possible to replace 17.14% of the annual Chilean diesel consumption and reduce energy imports by 5% [2].…”
Section: Resultsmentioning
confidence: 99%
“…For the use of RWP, extensive land surfaces are required that comply with numerous environmental standards and design constraints, in order to optimize industrial production. For a microalgae farm of regular conditions, capable of yielding 15 m 3 /ha/year of biodiesel [8,[23][24][25], the necessary surface areas required that have been documented [26] are listed in Table 1.…”
Section: Introductionmentioning
confidence: 99%