A mathematical model of microalgae growth in cylindrical photobioreactor

Bakeri, Noorhadila Mohd; Jamaian, Siti Suhana

doi:10.1063/1.4995853

Cited by 3 publications

(3 citation statements)

References 12 publications

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“…For this purpose, a mathematical model has introduced for the accommodation of solar mechanisms in higher plants and also in green algae [16]. Furthermore, a mathematical model has also constructed to define the growth of microalgae in Cylindrical Photo bioreactor [17]. In this paper, a mathematical model based on system of ODEs, is discussed to understand the outcome of radiant flux density at different levels and the CO2 concentration in photosynthesis of underwater plants [9,10].…”

Section: Methodsmentioning

confidence: 99%

Impact Estimation of Offshore Floating Solar Parks on Algae using Ordinary Differential Equations

Ali¹,

Fatima²,

Qari³

et al. 2021

JISR-C

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Floating solar park deployment increasing as the demand for clean energy increases around the world. These solar parks introduce a new avenue of investment for the clean energy producers, nevertheless increasing offshore floating solar parks affects the marine ecosystem. In this paper mathematical model related to the effect of solar irradiance on the process of photosynthesis is discussed using MATLAB simulation. Along with that growth model of algae is also discussed and simulated that can estimate an impact on the marine ecosystem due to halted growth of algae based on solar park size.

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Section: Methodsmentioning

confidence: 99%

Impact Estimation of Offshore Floating Solar Parks on Algae using Ordinary Differential Equations

Ali¹,

Fatima²,

Qari³

et al. 2021

JISR-C

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“…Mathematical models of dynamics of biomass growth in photobioreactors of various designs are developed. The disadvantages of such models are as follows: the use of freshwater is assumed and only the increase in biomass is determined in [25]; the increase in biomass in a cylindrical reactor is determined in [26]; increase in biomass and CO 2 uptake taking into account characteristics of the airlift reactor is determined in [27]; the increase in biomass and CO 2 uptake taking into account changes in lighting is determined in [28]. All these models do not take into account the possibility of using sewage water as a culture medium and do not determine the dynamics of removal of biogenic elements.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Improving the photobioreactor operation efficiency in the technological scheme of wastewater treatment

Shamanskyi

Бойченко

Khrutba

et al. 2021

EEJET

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Conventional process schemes of municipal sewage water treatment, advantages, and disadvantages of the methods applied when removing biogenic elements were considered. It was shown that the existing shortcomings cause additional explicit costs and difficulties when disposing of the resulting waste. Low efficiency of the removal processes themselves causing residual concentrations of biogenic elements in the treated sewage water was also shown. A process scheme for treating municipal sewage water was proposed. It includes the use of a photobioreactor of a proposed design for the removal of biogenic elements due to the metabolism of microalgae. It was experimentally shown that the use of Euglena gracilis strain for removal of phosphates in initial concentrations of 4, 7, and 14 mg/dm3 from sewage water is the most efficient way. It makes it possible to reduce these concentrations to residual 0…0.55 mg/dm3 in four days. A 3.75…5.58 times increment of microalgae biomass during this period was also shown. A mathematical model was constructed for calculating the time of staying the sewage water and microalgae mixture in a photobioreactor to achieve the required degree of removal of biogenic elements. Based on the proposed model and experimental studies, the required time of staying in the rector working area was calculated. It was shown that with the use of Euglena gracilis strain but without removal of biogenic elements at previous purification stages (process schemes including only mechanical purification), the time of mixture staying in the working zone was 37.81 hrs. With partial removal of biogenic elements at the stage of biological treatment (0.55 mg/dm3 total nitrogen, 0.91 mg/dm3 ammonium nitrogen, 0.44 mg/dm3 phosphates), this time was reduced to 26.66 hrs. It was found that the use of Euglena gracilis strain instead of Chlorella vulgaris (FC-16) in the removal of phosphates results in a 2-time increase in the process efficiency and a 50 % decrease in time of mixture staying in the working zone. Recommendations for calculating geometric parameters of photobioreactors of the proposed design were given for use in the process schemes

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“…There are many mathematical models that have been used to predict the microalgae growth which consider different parameters [20,21]. In this research, we focus on two types of substrate concentration which are nitrogen and phosphorus, and the light intensity.…”

Section: Mathematical Modelling and Kinetic Expression For Microalgaementioning

confidence: 99%

The Extended Monod Model for Microalgae Growth and Nutrient Uptake in Different Wastewaters

Yow¹,

Jamaian²

2018

IJET

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Water pollution is a serious issue which always being concerned by public. Microalgae for wastewater treatment is an effective way to solve the problem due to its eco-friendly and apparently low cost. This research aims to investigate the efficiency of the mathematical model to estimate the microalgae growth and nutrient uptake by microalgae in wastewaters. The extended Monod model is applied in the Verhulst model to describe the microalgae growth and nutrient uptake by microalgae whereas microalgae Botryococcus sp. is the species of microalgae used in this research. The microalgae Botryococcus sp. growth and nutrient uptake in domestic, agricultural and industrial wastewater are estimated and the results reveal that the extended Monod model is suitable for the estimation of microalgae growth and nutrient uptake by microalgae. In addition, microalgae Botryococcus sp. is promising for treating domestic, agricultural and industrial wastewater.

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A mathematical model of microalgae growth in cylindrical photobioreactor

Cited by 3 publications

References 12 publications

Impact Estimation of Offshore Floating Solar Parks on Algae using Ordinary Differential Equations

Impact Estimation of Offshore Floating Solar Parks on Algae using Ordinary Differential Equations

Improving the photobioreactor operation efficiency in the technological scheme of wastewater treatment

The Extended Monod Model for Microalgae Growth and Nutrient Uptake in Different Wastewaters

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