Photobioreactor Modeling and Radiative Transfer Analysis for Engineering Purposes

Advances in Chemical Engineering - Tập 48 - Trang 1-106 - 2016
Jérémi Dauchet1, Jean-François Cornet1, Fabrice Gros1, Matthieu Roudet1, Claude-Gilles Dussap2
1Université Clermont Auvergne, ENSCCF, Clermont-Ferrand, France and CNRS, Institut Pascal, Aubiere, France
2Université Clermont Auvergne, Université Blaise Pascal, Clermont-Ferrand, France and CNRS, Institut Pascal, Aubiere, France

Tài liệu tham khảo

Aas, 1996, Refractive index of phytoplankton derived from its metabolite composition, J Plankton Res, 18, 2223, 10.1093/plankt/18.12.2223 Aiba, 1982, Growth kinetics of photosynthetic micro-organisms, Adv Biochem Eng, 23, 85 Baran, 2009, A review of the light scattering properties of cirrus, J Quant Spectrosc Radiat Transf, 110, 1239, 10.1016/j.jqsrt.2009.02.026 Bejan, 1987, Unification of three different theories concerning the ideal conversion of enclosed radiation, Trans ASME J Sol Energy Eng, 109, 46, 10.1115/1.3268177 Bejan, 1988 Berberoglu, 2009, Radiation characteristics of botryococcus braunii, chlorococcum littorale, and Chlorella sp. used for CO2 fixation and biofuel production, J Quant Spectrosc Radiat Transf, 110, 1879, 10.1016/j.jqsrt.2009.04.005 Berberoglu, 2008, Radiation characteristics of Chlamydomonas reinhardtii CC125 and its truncated chlorophyll antenna transformants tla1, tlaX and tla1-CW+, Int J Hydrog Energy, 33, 6467, 10.1016/j.ijhydene.2008.07.071 Berg, 2014, Using holography to measure extinction, Opt Lett, 39, 3993, 10.1364/OL.39.003993 Bernard, 2001, Measured and modelled optical properties of particulate matter in the southern Benguela, S Afr J Sci, 97, 410 Bernard, 2009, Simulating the optical properties of phytoplankton cells using a two-layered spherical geometry, Biogeosci Discuss, 6, 1497, 10.5194/bgd-6-1497-2009 Bi, 2013, Modeling of light scattering by biconcave and deformed red blood cells with the invariant imbedding T-matrix method, Journal of biomedical optics, 18, 055001-1, 10.1117/1.JBO.18.5.055001 Bi, 2015, Impact of calcification state on the inherent optical properties of Emiliania huxleyi coccoliths and coccolithophores, J Quant Spectrosc Radiat Transf, 155, 10, 10.1016/j.jqsrt.2014.12.017 Bidigare, 1990, In-vivo absorption properties of algal pigments, Ocean Opt, 1302, 290, 10.1117/12.21451 Blanco, 2003, An invariance property of diffusive random walks, EPL (Europhys Lett), 61, 168, 10.1209/epl/i2003-00208-x Blanco, 2006, Short-path statistics and the diffusion approximation, Phys Rev Lett, 97, 230604, 10.1103/PhysRevLett.97.230604 Bohren, 1983 Bolton, 1991, The maximum efficiency of photosynthesis, Photochem Photobiol, 53, 545, 10.1111/j.1751-1097.1991.tb03668.x Bricaud, 1986, Light attenuation and scattering by phytoplanktonic cells: a theoretical modeling, Appl Opt, 25, 571, 10.1364/AO.25.000571 Case, 1967 Cassano, 1995, Photoreactor analysis and design: fundamentals and applications, Ind Eng Chem Res, 34, 2155, 10.1021/ie00046a001 Chami, 2014, Polvsm (polarized volume scattering meter) instrument: an innovative device to measure the directional and polarized scattering properties of hydrosols, Opt Express, 22, 26403, 10.1364/OE.22.026403 Charon, 2015, Monte Carlo implementation of Schiff's approximation for estimating radiative properties of homogeneous, simple-shaped and optically soft particles: application to photosynthetic micro-organisms, J Quant Spectrosc Radiat Transf Choi, 2008, Field-based angle-resolved light-scattering study of single live cells, Opt Lett, 33, 1596, 10.1364/OL.33.001596 Cogne, 2003, Uptake of macrominerals and trace elements by the cyanobacterium Spirulina platensis (Arthrospira platensis PCC 8005) under photoautotrophic conditions: culture medium optimization, Biotechnol Bioeng, 81, 588, 10.1002/bit.10504 Cornet, 2010, Calculation of optimal design and ideal productivities of volumetrically lightened photobioreactors using the constructal approach, Chem Eng Sci, 65, 985, 10.1016/j.ces.2009.09.052 Cornet, 1998, Kinetics and energetics of photosynthetic micro-organisms in photobioreactors, vol. 59, 153 Cornet, 2009, A simple and reliable formula for assessment of maximum volumetric productivities in photobioreactors, Biotechnol Prog, 25, 424, 10.1002/btpr.138 Cornet, 1992, A structured model for simulation of cultures of the cyanobacterium Spirulina platensis in photobioreactors: II. Identification of kinetic parameters under light and mineral limitations, Biotechnol Bioeng, 40, 826, 10.1002/bit.260400710 Cornet, 1992, A structured model for simulation of cultures of the cyanobacterium spirulina platensis in photobioreactors: I. Coupling between light transfer and growth kinetics, Biotechnol Bioeng, 40, 817, 10.1002/bit.260400709 Cornet, 1994, Conversion of radiant light energy in photobioreactors, AIChE J, 40, 1055, 10.1002/aic.690400616 Cornet, 1995, A simplified monodimensional approach for modeling coupling between radiant light transfer and growth kinetics in photobioreactors, Chem Eng Sci, 50, 1489, 10.1016/0009-2509(95)00022-W Cornet, 2003, Modeling stability of photoheterotrophic continuous cultures in photobioreactors, Biotechnol Prog, 19, 1216, 10.1021/bp034041l Csogor, 2001, Light distribution in a novel photobioreactor–modelling for optimization, J Appl Phycol, 13, 325, 10.1023/A:1017974232510 Dauchet, 2012 Dauchet, 2013, The practice of recent radiative transfer Monte Carlo advances and its contribution to the field of microorganisms cultivation in photobioreactors, J Quant Spectrosc Radiat Transf, 128, 52, 10.1016/j.jqsrt.2012.07.004 Dauchet, 2015, Calculation of the radiative properties of photosynthetic microorganisms, J Quant Spectrosc Radiat Transf, 161, 60, 10.1016/j.jqsrt.2015.03.025 De La Vara, 1986, Participation of plastoquinone, cytochrome c 553 and ferrodoxin-NADP+ oxido-reductase in both photosynthesis and respiration in Spirulina maxima, Photosynth Res, 8, 65, 10.1007/BF00028477 Delatorre, 2014, Monte Carlo advances and concentrated solar applications, Sol Energy, 103, 653, 10.1016/j.solener.2013.02.035 Dimov, 2008 Durian, 1994, Influence of boundary reflection and refraction on diffusive photon transport, Phys Rev E, 50, 857, 10.1103/PhysRevE.50.857 Dussap, 1988 Duysens, 1959 Farges, 2009, Spectral kinetic modeling and long-term behavior assessment of arthrospira platensis growth in photobioreactor under red (620nm) light illumination, Biotechnol Prog, 25, 151, 10.1002/btpr.95 Glansdorff, 1971, Thermodynamic theory of structure, stability and fluctuations, Wiley-Interscience Goody, 1964 Hammersley, 1964 Hellmers, 2011, Improving the numerical stability of t-matrix light scattering calculations for extreme particle shapes using the nullfield method with discrete sources, J Quant Spectrosc Radiat Transf, 112, 1679, 10.1016/j.jqsrt.2011.02.004 Hoepffner, 1991, Effect of pigment composition on absorption properties of phytoplankton, Mar Ecol Prog Ser, 73, 11, 10.3354/meps073011 Hottel, 1967 Howell, 1998, The Monte Carlo method in radiative heat transfer, J Heat Transf, 120, 547, 10.1115/1.2824310 Irazoqui, 1976, The radiation field for the point and line source approximations and the three-dimensional source models: applications to photoreactions, Chem Eng J, 11, 27, 10.1016/0300-9467(76)80004-4 Ishimaru, 1999 Joliot, 1966, Oxygen evolution in algae illuminated by modulated light, Brookhaven symp Biol, 19, 418 Kahnert, 2003, Numerical methods in electromagnetic scattering theory, J Quant Spectrosc Radiat Transf, 7980, 775, 10.1016/S0022-4073(02)00321-7 Kalos, 2008 Kolokolova, 2001, Scattering by inhomogeneous particles: microwave analog experiments and comparison to effective medium theories, J Quant Spectrosc Radiat Transf, 70, 611, 10.1016/S0022-4073(01)00033-4 Liu, 2008, A study of radiative properties of fractal soot aggregates using the superposition t-matrix method, J Quant Spectrosc Radiat Transf, 109, 2656, 10.1016/j.jqsrt.2008.05.001 Lucarini, 2005 Marshak, 1947, The Milne problem for a large plane slab with constant source and anisotropic scattering, Phys Rev, 72, 47, 10.1103/PhysRev.72.47 Meng, 1983, Comparison of radiative transfer approximations for a highly forward scattering planar medium, J Quant Spectrosc Radiat Transf, 29, 381, 10.1016/0022-4073(83)90111-5 Mengüç, 2002, Characterization of fine particles via elliptically-polarized light scattering Meszéna, 1999, Non-equilibrium thermodynamics of light absorption, J Phys A Math Gen, 32, 301, 10.1088/0305-4470/32/2/006 Metropolis, 1949, The Monte Carlo method, J Am Stat Assoc, 44, 335, 10.1080/01621459.1949.10483310 Mishchenko, 2009, On definition and measurement of extinction cross section, J Quant Spectrosc Radiat Transf, 110, 323, 10.1016/j.jqsrt.2008.11.010 Mishchenko, 2000 Mishchenko, 2002 Morel, 1981, Theoretical results concerning light absorption in a discrete medium, and application to specific absorption of phytoplankton, Deep Sea Res A, 28, 1375, 10.1016/0198-0149(81)90039-X Moskalensky, 2013, Accurate measurement of volume and shape of resting and activated blood platelets from light scattering, J Biomed opt, 18, 10.1117/1.JBO.18.1.017001 Mouhim, 1993, Production, isolation and preliminary characterization of the exopolysaccharide of the cyanobacterium spirulina platensis, Biotechnol Lett, 15, 567, 10.1007/BF00138541 Muoz, 2011, Laboratory measurements of single light scattering by ensembles of randomly oriented small irregular particles in air. a review, J Quant Spectrosc Radiat Transf, 112, 1646, 10.1016/j.jqsrt.2011.02.005 Naqvi, 2004, Absorption and scattering of light by suspensions of cells and subcellular particles: an analysis in terms of Kramers-Kronig relations, Photochem Photobiol Sci, 3, 132, 10.1039/B304781D Nousiainen, 2009, Optical modeling of mineral dust particles: a review, J Quant Spectrosc Radiat Transf, 110, 1261, 10.1016/j.jqsrt.2009.03.002 Ould Moulaye CB: Calcul des propriétés de formation en solution aqueuse des composés impliqués dans les procédés biologiques et alimentaires. prédiction et réconciliation de données; modélisation des équilibres chimiques et entre phases, 1998. (Ph.D. dissertation, Université Blaise Pascal de Clermont Ferrand, num. 1033). Paillotin, 1974 Pharr, 2010 Pilon, 2011, Radiation transfer in photobiological carbon dioxide fixation and fuel production by microalgae, J Quant Spectrosc Radiat Transf, 112, 2639, 10.1016/j.jqsrt.2011.07.004 Pottier, 2005, A fully predictive model for one-dimensional light attenuation by chlamydomonas reinhardtii in a torus photobioreactor, Biotechnol Bioeng, 91, 569, 10.1002/bit.20475 Prigogine, 1967 Pruvost, 2012, Knowledge models for the engineering and optimization of photobioreactors, vol. 1 Rochatte, 2015 Roels, 1983 Roger, 2005, Monte Carlo estimates of domain-deformation sensitivities, Phys Rev Lett, 95, 180601, 10.1103/PhysRevLett.95.180601 Schiff, 1956, Approximation method for high-energy potential scattering, Phys Rev, 103, 443, 10.1103/PhysRev.103.443 Schuster, 1905, Radiation through a foggy atmosphere, Astrophys J, 21, 1, 10.1086/141186 Siegel, 1981 Sihvola, 1999 Spadoni, 1978, Scattering effects in photosensitized reactions, Chem Eng Sci, 33, 517, 10.1016/0009-2509(78)80012-8 StarWest, n.d. Edstar development environment project. URL http://edstar.lmd.jussieu.fr/databases. Stucki, 1979, Stability analysis of biochemical systems–a practical guide, Prog Biophys Mol Biol, 33, 99, 10.1016/0079-6107(79)90027-0 Stucki, 1980, The optimal efficiency and the economic degrees of coupling of oxidative phosphorylation, Eur J Biochem, 109, 269, 10.1111/j.1432-1033.1980.tb04792.x Stucki, 1988, Thermodynamics of energy conversion in the cells, 10.1007/978-3-642-73688-9_23 Takache, 2010, Experimental and theoretical assessment of maximum productivities for the microalgae Chlamydomonas reinhardtii in two different geometries of photobioreactors, Biotechnol Prog, 26, 431 Takache, 2012, Kinetic modeling of the photosynthetic growth of chlamydomonas reinhardtii in a photobioreactor, Biotechnol Prog, 28, 681, 10.1002/btpr.1545 Thormählen, 1985, Refractive index of water and its dependence on wavelength, temperature, and density, J Phys Chem Ref Data, 14, 933, 10.1063/1.555743 Tuminello, 1997, Optical properties of Bacillus subtilis spores from 0.2 to 2.5 νm, Appl Opt, 36, 2818, 10.1364/AO.36.002818 Vaillon, 2011, A novel implementation of a microwave analog to light scattering measurement set-up, J Quant Spectrosc Radiat Transf, 112, 1753, 10.1016/j.jqsrt.2010.12.008 van de Hulst, 1981 Wozniak, 2000, Model of the in vivo spectral absorption of algal pigments. Part 1. Mathematical apparatus, Oceanologia, 42, 177 Wriedt, 2009, Light scattering theories and computer codes, J Quant Spectrosc Radiat Transf, 110, 833, 10.1016/j.jqsrt.2009.02.023 Wu, 2007, Unified Mie and fractal scattering by biological cells and subcellular structures, Opt Lett, 32, 2324, 10.1364/OL.32.002324 Wyatt, 1972, Light scattering in the microbial world, J Collo Interf Sci, 39, 479, 10.1016/0021-9797(72)90056-2 Yang, 2004, A new look at anomalous diffraction theory (ADT): algorithm in cumulative projected-area distribution domain and modified ADT, J Quant Spectrosc Radiat Transf, 89, 421, 10.1016/j.jqsrt.2004.05.038 Yurkin, 2011, The discrete-dipole-approximation code ADDA: capabilities and known limitations, J Quant Spectrosc Radiat Transf, 112, 2234, 10.1016/j.jqsrt.2011.01.031