Numerical Simulation of Gravitactic Bioconvection with Nanoparticles: An Application of Solids Removal in Wastewater Using a Thermal Source

The results of numerical simulations of gravitactic bioconvection influenced by nanoparticles suspended in water are analyzed. In this work, two cases are established which consider the removal of nanometric particles suspended in wastewater. The competence among the bioconvection of <i>Parame...

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Main Authors: Alejandra M. Mil-Martínez, René O. Vargas, Aldo Gómez-López, Alejandro Zacarías, Juan P. Escandón, Enrique García-Leal, Rubén Mil-Martínez
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Micromachines
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Online Access:https://www.mdpi.com/2072-666X/16/5/553
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Summary:The results of numerical simulations of gravitactic bioconvection influenced by nanoparticles suspended in water are analyzed. In this work, two cases are established which consider the removal of nanometric particles suspended in wastewater. The competence among the bioconvection of <i>Paramecium caudatum</i>, natural convection and buoyancy of nanoparticles phenomena in an aqueous suspension is presented. The position of a thermal source to control the orientation of microorganisms when swimming is analyzed. Numerical simulations are carried out using the finite difference method in an ADI scheme, employing stream-vorticity formulations and equations for microorganisms, nanoparticle concentration, and energy. The percentage of nanoparticles is considered using the Rayleigh number, which includes the effect of Brownian and thermophoretic parameters. At low values of the Brownian parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><mi>B</mi><mi>m</mi></mrow></msub><mo>=</mo><mn>0.1</mn></mrow></semantics></math></inline-formula>, thermophoretic parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mrow><mi>T</mi><mi>m</mi></mrow></msub><mo>=</mo><mn>0.1</mn></mrow></semantics></math></inline-formula>, and the nanoparticles Rayleigh number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.005</mn><mo><</mo><mi>R</mi><msub><mi>a</mi><mi>n</mi></msub><mo><</mo><mn>0.015</mn></mrow></semantics></math></inline-formula>, the swimming of microorganisms contributed to streamlines across which nanoparticles traveled in response to a thermal control source. Thus, the results obtained suggest an alternative approach to the removal of solids such as heavy metals in polluting waters. The development of this type of technology will help in the bioremediation of wastewater.
ISSN:2072-666X