Impact of Soret and Dufour on bioconvective flow of nanofluid in porous square cavity

Abstract

This article addresses the bioconvection in a porous cavity associated with Soret and Dufour effects. The bioconvective flow in a porous medium is based on Hillesdon and Pedley's model and is governed by nonlinear partial differential equations. These equations are transformed into a dimensionless form with suitable nondimensional parameters. The finite element method is employed to solve the dimensionless equations. The outcomes of the study are presented by streamlines, temperature distributions, isoconcentrations of solute, nanoparticles, and microorganisms. Furthermore, the tendency of average Nusselt number and average Sherwood number and the influence of Soret parameter, Dufour parameter, Peclet number, and bioconvective Rayleigh number is interpreted. Thermophoresis and Soret number show a strong effect on the concentration of nanoparticles. Brownian motion and thermophoresis exhibit a significant effect on the density distributions of microorganisms. The novelty of the paper is to combine the effects of Soret–Dufour and oxytactic bioconvection. The present study can be useful in the following applications: microbial‐enhanced oil recovery, toxin removal, antibiotics, and modeling of microfluidic devices.

Numerical simulation of Dufour and Soret impacts on MHD Williamson nanofluid flow through an inclined surface

“…The homotopy analysis method was utilized by the earlier researchers Jawad et al 34,35 to study the impact of magnetic field and thermal radiation on steady nanoliquid and unsteady bioconvection Darcy-Forchheimer nanoliquid flow through an exponentially stretched channel and Gul et al 36 investigated the dispersion of Fe 3 O 4 and CNT of carbon-based nanofluid enhanced the mechanism of heat transfer significantly. In their research Balla et al [37][38][39][40][41] examined the impacts of Soret and Dufour on bioconvective nanofluids in a variety of environments, including saturated inclined porous cavities and porous cavities. In addition, they looked into how radiation and chemical reactions affected suspended porous cavities containing oxytactic microorganisms.…”

Insight into the dynamics of micropolar fluid about a vertical cone when nonlinear thermal radiation is significant: The case of triple mixed convection

“…Also, Gnaneswara Reddy 27 has worked on the cross‐diffusion flow over a cone. Many researchers have also worked on the impact of cross‐diffusion over several geometries due to its wide range of applications 28–31 . The diffusion of heat is very collective in analyzing mixed convection problems.…”

“…Many researchers have also worked on the impact of cross-diffusion over several geometries due to its wide range of applications. [28][29][30][31] The diffusion of heat is very collective in analyzing mixed convection problems. But, rarely few works can be found when it comes to the investigations with two diffusions of species concentrations with that of heat, that too in the recent years.…”

Effect of inclination angle on bioconvection in porous square cavity containing gyrotactic microorganisms and nanofluid

“…Sheremet et al 23 examined the flow of nanoliquid with gyrotactic microorganisms in an inclined square cavity with the presence of magnetohydrodynamic (MHD) free convention. The impact of bioconvective parameters in a cavity with gyrotactic microorganisms 24 and oxytactic microorganisms [25][26][27] is studied by several authors. Arafa et al 28 studied radiative MHD bioconvective nanofluid flow due to gyrotactic microorganisms.…”