Significance of the nonlinear radiative flow of micropolar nanoparticles over porous surface with a gyrotactic microorganism, activation energy, and Nield's condition

Abstract

Current continuation presents the numerical study regarding stretched flow micropolar nanofluid over moving the sheet in the existence of activation energy and microorganisms. Furthermore, nonlinear aspects of thermal radiation are also utilized in the energy equation which results in the energy equation becomes highly nonlinear. This investigation has been performed by using convective Nield boundary conditions. First, useful dimensionless variables are implemented to reduce the partial differential into ordinary ones. Later on, the approximate solution of the transformed physical problem is computed by using the shooting scheme. A detailed physical interpretation of obtained results is also presented for velocity, temperature, motile microorganisms density, and mass concentration profiles. A detailed graphical explanation for each engineering parameter has been discussed for some specified range like 0 goodbreakinfix≤ K 1 goodbreakinfix≤ 1.5 , 0.1 goodbreakinfix≤ m goodbreakinfix≤ 0.7 , 0.1 goodbreakinfix≤ K goodbreakinfix≤ 0.7 , 0.1 goodbreakinfix≤ N t goodbreakinfix≤ 2.4 , 0.1 goodbreakinfix≤ γ goodbreakinfix≤ 0.4 , 1.0 goodbreakinfix≤ italicPr goodbreakinfix≤ 1.8 , 0.4 goodbreakinfix≤ R d goodbreakinfix≤ 1.0 , 0.2 goodbreakinfix≤ N b goodbreakinfix≤ 0.8 , 0.1 goodbreakinfix≤ E goodbreakinfix≤ 7.0, and 0.4 goodbreakinfix≤ L b goodbreakinfix≤ 1.0 . The theoretical computations based presented here can be more proficient to attain the maximum efficiency of various thermal extrusion systems and microbial fuel cells.

Mixed convection in mhd second grade nanofluid flow through a porous medium containing nanoparticles and gyrotactic microorganisms with chemical reaction

“…It is interesting to discuss the role of all the emerging parameters on the non-dimensional velocity profile, non-dimensional temperature profile, non-dimensional concentration profile and non-dimensional motile gyrotactic microorganisms profile f (ζ), θ(ζ), φ(ζ) and Ω(ζ) respectively. The effects of embedded parameters on the velocity f (ζ), temperature θ(ζ), concentration φ(ζ) and motile gyrotactic microorganisms Ω(ζ) fields have been plotted in Figures (6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17), (18)(19)(20)(21)(22)(23)(24)(25), (26)(27)(28)(29)(30)(31)(32)(33)(34)(35) and (36)(37)(38)(39)(40)(41)(42)(43)(44)(45)(46) respectively. The schematic diagram of the problem is demonstrated in Fig.…”

“…Zaman and Gul [6] reported the MHD bioconvection flow of Williamson nanomaterial in the presence of gyrotactic microorganisms with nanoparticles, buoyancy forces and Newtonian conditions. Waqas et al [7] investigated the numerical study of micropolar nanofluid past the moving sheet in the presence of activation energy, microorganisms and Nield boundary conditions. Ramzan et al [8] explored the flow of aqueous based nanofluid comprising single and multi-wall carbon nanotubes over a vertical cone through a porous medium with heat generation/absorption, gyrotactic microorganisms, thermal radiation, Joule heating and chemical reaction.…”

Radiative unsteady hydromagnetic 3D flow model for Jeffrey nanofluid configured by an accelerated surface with chemical reaction

“…In the current section, the impact of the physical behavior of various essential parameters on bidirectional velocities, concentration, and temperature has been explicated by sketching associated curves. [48][49][50] Furthermore, the numerical values of the local Nusselt and Sherwood numbers for emerging parameters are presented in a tabular form and discussed. We have observed that velocity in both the x and y directions and the corresponding boundary layer thickness escalate with an increment in β.…”

Linear stability analysis of MHD flow of micropolar fluid with thermal radiation and convective boundary condition: Exact solution

“…Lakshmi et al studied the micropolar fluid with the effect of thermal radiation by using of Runge–Kutta Fehlberg algorithm. Some recent development of micropolar fluid can be seen in these articles . After proper analysis of published literature, it is found that micropolar electrically conducting fluid flow with the combined effect of convective and thermal radiation parameters over a permeable shrinking surface has not been investigated yet.…”