Abstract

In the current decade, bioconvection phenomenon has received a lot of attention in research because of its applications in the biological polymer synthesis, biosensors and biotechnology, pharmaceutical industry, microbial enhanced oil recovery, environmentally friendly applications, and continuous refinements in mathematical modeling. Therefore, this article is prepared to address the unsteady mixed bioconvection in electrically conducting fluid flow between two infinite parallel plates with magnetic field and first-order chemical reaction impacts. Furthermore, the heat and mass transfer study has taken Dufour and Soret effects into account. The nonlinear coupled systems representing the continuity, momentum, energy, mass diffusion, and microorganisms’ equations are renewed into an ordinary differential equation (ODE) by employing the similarity renovation. The renovated ODEs are interpreted by the Homotopy Analysis Method (HAM). Impacts of the different emerging parameters, namely, magnetic field parameter ( M ), heat generation parameter ( Q ), Dufour number ( D u ), Soret number ( S r ), Schmidt number ( S c ), chemical reaction parameter ( K 0 ), Prandtl number ( P r ), squeezing parameter ( β ), Peclet number ( P e ), and Lewis number ( L e ) on the dimensionless velocity, temperature, concentration, and microorganism profiles as well as the frictional drag, Nusselt number, Sherwood number, and microorganisms mass flux are presented. The main outcomes of this investigation are that the velocity profile rises as the squeezing parameter is increased, and clear enhancement is noticed in the temperature profile for augmented estimations of chemical reaction, heat generation/absorption, and Dufour parameters. There is a significant downward trend in the concentration profile and microorganism density for elevated values of Dufour and Soret parameters.

Highlights

  • Bioconvection is initiated by the accumulated swimming of motile microorganisms in fluid. is effect happens because microorganisms are slightly denser than water in suspension and usually swim in the upward path

  • Extensive graphical and tabulated results are presented with the aid of Mathematica software, and the impacts of different emerging parameters on the velocity, temperature, nanoparticles fraction, and motile microorganism profiles along with the frictional drag, Nusselt number, Sherwood number, and microorganisms mass flux are examined and deliberated in detail. is research may be helpful for researchers and engineers who work on the industrial applications of bioconvection squeezed flow of nanofluid which is quite useful in the fields of polymer synthesis, biomedicine, lubrication, metal and polymer molding, foam production process geothermal system, and many others

  • Conclusions e Soret and Dufour effects on a two-dimensional unsteady bioconvection squeezing flow incorporating motile gyrotactic microorganisms in a horizontal channel have been examined in the presence of a chemical reaction and a magnetic field

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Summary

Introduction

Bioconvection is initiated by the accumulated swimming of motile microorganisms in fluid. is effect happens because microorganisms are slightly denser than water in suspension and usually swim in the upward path. Shen et al [8] studied analytically bioconvective nanofluid flow carrying motile microorganisms across a stretched surface with radiation and velocity slip impacts by employing HAM. Shukla et al [14] discussed heat transfer in bioconvective nanofluid flow with solar flux, radiation, and oblique magnetic field impacts. Hayat et al [16] investigated viscoelastic fluid flow over a porous surface with a magnetic field, and Du and Sr impacts. Rashid et al [34] studied the MHD boundary layer flow over a porous shrinking surface with the radiation effects. Naqvi et al [36] addressed the chemical reaction and radiation impacts in MHD nanofluid flow over a radially stretching/shrinking disk. Raees et al [37] examined mixed convection in a magnetized second-grade fluid flow over a stretched surface. Extensive graphical and tabulated results are presented with the aid of Mathematica software, and the impacts of different emerging parameters on the velocity, temperature, nanoparticles fraction, and motile microorganism profiles along with the frictional drag, Nusselt number, Sherwood number, and microorganisms mass flux are examined and deliberated in detail. is research may be helpful for researchers and engineers who work on the industrial applications of bioconvection squeezed flow of nanofluid which is quite useful in the fields of polymer synthesis, biomedicine, lubrication, metal and polymer molding, foam production process geothermal system, and many others

Mathematical Formulation
C: Chemical reaction
Full Text
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