Bioconvection Unsteady Magnetized Flow in a Horizontal Channel with Dufour and Soret Effects

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.

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“…The series solutions using HAM are highly close to the exact one that is why we call semi-analytic method and most scholars put it in to action. Some of the authors that apply HAM are cited as [49]- [52]. HAM have a great freedom to select convergence control parameter ℏ, initial guess, auxiliary linear operator L and auxiliary function H(ξ) for the acceptable convergent solutions.…”