Stability analysis and numerical simulation of gravitactic bioconvection in a rectangular cavity

Mil-Martínez, Rubén; Ferrer, V.; Turcio, M.; López‐Serrano, F.; Ortega, J.; Vargas, René O.

doi:10.1016/j.camwa.2018.09.028

Cited by 10 publications

(3 citation statements)

References 22 publications

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“…Gyrotactic bio-convection nanofluid flow under the influence of convective conditions over a circular cylinder is analyzed by Rashad & Nabwey [25]. Martinez et al [26] used a rectangular cylinder to investigate the numerical treatment and stability observation of gyrotactic bioconvection.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Gyrotactic microorganism Flow of Nanofluid over a Riga Plate with the Characteristic of Chemical Reaction and Convective Condition

Nazeer,

Saleem

2024

Preprint

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Background Bioconvection is a familiar phenomenon of fluid mechanics which explains the hydrodynamic unsteadiness and suspensions of upward swimming microorganisms. Hydrodynamic unsteadiness is due to coupling in physical properties such as fluid flows and density of microorganisms. Gyrotactic unsteadiness occurs when microorganisms are more dense than fluid. Microorganisms are very small creatures and cannot be perceived with the naked eye. Aim and Scope The main purpose of this research is to highlight the concept of the Nanofluid flow over the surface of Riga by the influence of microbes and to solve this scheme numerically by applying the convection conditions. One of the main aims is to study the useful effects of swirling microorganisms passing through the microfluidic on the surface of Riga, by adopting the Powell-Eyring model. Riga plates are used to complete turbulent impact and avoid boundary layer separation. Methodology The swirling microorganisms and Riga plates are used to mathematically process the flow of nanofluids under the influence of chemical reactions and convection conditions. Nanofluids are usually made of nanoparticles, such as metal carbide Sic, oxide ceramic Al_2 O_3, nitride-ALN and metal graphite. The shooting method is used to solve the obtained differential equations. Results For different values of Powell-Eyring parameter and modified Hartmann number, the wall shear stress shows both an increase and a decrease. It is observed that the spectrum of moving microorganisms shows the decreasing behavior gainst Peclet number and the biological convection Lewis number parameters.

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Section: Introductionmentioning

confidence: 99%

Numerical Solution of Gyrotactic microorganism Flow of Nanofluid over a Riga Plate with the Characteristic of Chemical Reaction and Convective Condition

Nazeer,

Saleem

2024

Preprint

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“…An attractive propulsion mechanism used by micro-organisms is bioconvection which refers to the macroscopic swimming of micro-organisms resulting from a transition in the presence of a density gradient. Micro-organisms play a vital role in numerous ecological, biological, medical and engineering phenomena [26][27]. Microorganisms are also advantageous in food production, in the treatment of wastewater, biofuels, chemical bioreactors and enzymes.…”

Section: Introductionmentioning

confidence: 99%

Computation of bio-nano-convection power law slip flow from a needle with blowing effects in a porous medium

Uddin

Amirsom

Bég

et al. 2022

Waves in Random and Complex Media

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Transport phenomena with fluid flow, heat, mass, nanoparticle species and microorganism transfer external to a needle in a porous medium have many biomedical engineering applications (e. g. hypodermic needles used in hemotology). It is also used to design many biomedical engineering equipments and coating flows with bio-inspired nanomaterials. Coating flows featuring combinations of nanoparticles and motile micro-organisms also constitute an important application area. A mathematical model for convective external boundary layer flow of a power-law nanofluid containing gyrotactic micro-organisms past a needle immersed in a Darcy porous medium is developed. Multiple slips boundary conditions and Stefan blowing effects at the needle boundary are taken into account. The model features a reduced form of the conservation of mass, momentum, energy, nanoparticle species and motile micro-organism equations with appropriate coupled boundary conditions. The governing nonlinear partial differential equations (NPDEs) are converted to dimensionless form and appropriate invariant transformations are applied to obtain similarity ordinary differential equations (SODE). The transformed equations have been solved numerically using the in-built Matlab bvp4c function. The influence of the emerging parameters on the dimensionless velocity, temperature, nanoparticle concentration, motile micro-organism density functions, skin friction, heat, mass, and micro-organism transfers) are discussed in detail. It is found that velocity decreases whilst temperature, concentration, and density of motile microorganism increase with an increase in blowing parameter for shear thinning (pseudoplastic), Newtonian, and shear thickening (dilatant) fluids. It is also found that skin friction, Nusselt number (dimensionless heat transfer rate), Sherwood number (dimensionless nanoparticle mass transfer rate) and motile micro-organism wall density gradient decrease with increasing blowing, Darcy, power law and needle size parameters. Comparison with the earlier published results is also included and an excellent agreement is obtained.

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“…Makinde et al worked on the bioconvection process caused by a gyrotactic microorganism. Focusing on the gravitactic microorganisms, Saini et al and Mil‐Martínez et al analyzed the bioconvective boundary layer nanofluid flow and thermo‐bioconvection boundary layer nanofluid flow with zero nanoparticle flux, respectively. The behavior of the MHD bioconvective flow due to the gyrotactic microorganism in a stratified medium was observed by Alsaedi et al Rehman et al continued with the investigation of the impact of external magnetic field on the bioconvection process.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic bio‐nanoconvective Naiver slip flow of micropolar fluid in a stretchable horizontal channel

Zohra

Uddin

Ismail

2019

Heat Trans. Asian Res.

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The purpose of this paper is to formulate and analyze a nano-bio transport model for magnetohydrodynamic convective flow, heat, and mass diffusion of micropolar fluid containing gyrotactic microorganisms through a horizontal channel. Both the walls are considered to be stretched, and the Navier slip boundary condition is taken into account. The governing bio-nano transport partial differential equations are rendered to ordinary differential equations using similarity variables. The resulting normalized self-similar boundary value problem is solved computationally with the Matlab bvp4c function. The effect of the controlling parameters on the nondimensional velocity, temperature, nanoparticle concentration, and motile microorganism density functions, and their gradients at the wall are visualized graphically and in a tabular form and expounded at length. Validation with a previous simpler model is included. All physical quantities, except the local Nusselt number, increases with an increase in the velocity slip and magnetic parameters. The present problem finds applications in industries related to pharmaceutical, nanofluidic devices, microbial enhanced oil recovery, modeling oil, and gas-bearing sedimentary basins.

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Stability analysis and numerical simulation of gravitactic bioconvection in a rectangular cavity

Cited by 10 publications

References 22 publications

Numerical Solution of Gyrotactic microorganism Flow of Nanofluid over a Riga Plate with the Characteristic of Chemical Reaction and Convective Condition

Numerical Solution of Gyrotactic microorganism Flow of Nanofluid over a Riga Plate with the Characteristic of Chemical Reaction and Convective Condition

Computation of bio-nano-convection power law slip flow from a needle with blowing effects in a porous medium

Magnetohydrodynamic bio‐nanoconvective Naiver slip flow of micropolar fluid in a stretchable horizontal channel

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