Bioconvection on Non-Newtonian Magnetohydrodynamics Carreau Nanofluid with Activation Energy and Binary Chemical Reaction in Darcy Forchhiemer Porous Medium

In this present research, suspensions of gyrotactic micro-organisms on non-newtonian carreau nanofluid with activation energy and binary chemical reaction is examined which is implanted under Darcy Forchhiemer porous medium. Similarity transformations are used to convert the governing equation into a highly nonlinear ODE’s. Fifth-order Runge Kutta-Fehlberg method using shooting technique is utilized to solve ODE’s. Velocity, temperature, concentration, and density of motile gyrotactic microorganisms profile were depicted graphically and explained briefly. It is observed that activation energy enhances the concentration profile of both pseudoplastic and dilatant fluids. Present results is compared with previously published work which is found to be in good agreement.

Infinite Shear Rate Viscosity Model of Cross Fluid Flow Containing Nanoparticles and Motile Gyrotactic Microorganisms Over 3-D Cylinder

Cross nanofluidic model yields extraordinary results and describes the behaviour of nanofluid at very high and very low shear rate. In this paper infinite shear rate viscosity model of cross nanofluid flow containing nanoparticles and motile gyrotactic microorganisms over three dimensional horizontal cylinder is taken. In this attempt simultaneous utilization of nanoparticles along with motile microorganisms attached mathematical model of cross fluid and three-dimensional geometry of cylinder has been carried out as an innovation. For the inspection of velocity profile of cross nanofluid inclined magnetic field is scrutinized. Temperature of Cross nanofluid and its concentration is also carried out with several facts. Mass flux and heat flux values for motile microorganisms and nanoparticles are calculated through statistical graphs. This attempt reveals that small variation of Brownian motion parameter gives lower concentration of nanoparticle about 80.21% and 78.44% reduction is found in concentration of motile microorganisms.

Bioconvective Peristaltic Transport of a Nano Eyring-Powell Fluid in a Vertical Asymmetric Channel with Gyrotactic Microorganism

Peristaltic nanofluid’s flow due to the enhanced thermal performances of nanoparticles and their importance in many sectors play a vital role in medicine, cosmetics, manufacturing, and engineering processes. In this regard, the current theoretical work examines the swimming behavior of migratory gyrotactic microorganisms in a non- Newtonian blood-based nanofluid that is subjected to a magnetic field. The addition of motile microorganisms improves heat and mass transmission by stabilizing the nanoparticle suspension created by the combined actions of buoyancy force and magnetic field. This fluid pattern may display both Newtonian and non-Newtonian fluid properties. Continuity, temperature, motile microbe, momentum, and concentration equations are used in the mathematical formulation. The series solutions are found using the perturbation technique, and the leading parameters are described using graphs. Further, the impact of various physical constraints on different physiological quantities is addressed and illustrated through graphs and is pondered in detail. Bioconvection reduces the density of gyrotactic bacteria, according to the findings. Such findings are beneficial to biomedical sciences and engineering. Microorganisms are helpful in the breakdown of organic matter, the production of oxygen, and the maintenance of human health.

Dual Solution of Sisko Nanofluid Flow with Gyrotactic Microorganisms Over Stretching/Shrinking Sheet in Non-Darcy Porous Medium

The objective of this paper is to determine the dual solution of bioconvection Sisko nanofluid flow comprising gyrotactic micro-organism enclosed in a porous medium. The flow analysis is incorporated with the presence of Darcy–Forchhemier inertia effect, chemical reaction and magnetohydrodynamic flow over a non-linear stretching sheet. With regard to these assumptions the regulating non-linear partial differential equations for the fluid flow are drafted and turned into ordinary differential equations by means of relevant similarity transformation. Fifth order Runge–Kutta Felhberg method with shooting technique is applied to obtain numerical solution of the transformed ordinary differential equations. Graphs are sketched out to observe and interpret variation in velocity, temperature, nanoparticles concentration and density of micro-organism profiles for respective determining factors. Comparison of the obtained results for local Nusselt number with Prandtl number reveals commendable agreement with earlier reported results. Bioconvection Lewis number, Prandtl number, Peclet number and microorganism difference parameter for escalating values discloses a declining behaviour of motile micro-organism density distribution.

Analysis of Magneto-Thermo-Bioconvection of Nanofluid Containing Gyrotactic Microorganisms Through Porous Media

The present work aims to study the combined effect of external magnetic field and heating from below on the bioconvection of nanofluid containing gyrotactic microorganisms. Modified Maxwell’s equations and generalized Buongiorno’s model are used to frame the flow constitutive equations of nanofluid saturated in the Darcy-Brinkman porous medium. The present investigation has been done in the framework of linear stability. The resulting eigenvalue problem along with boundary conditions has been solved using Chebyshev-Gauss-Lobato Spectral Method. Appropriate transformations are used to convert Neumann boundary conditions into Dirichlet’s one. The influence of various pertinent parameters on the critical thermal Rayleigh number has been shown through graphs and tables. It has been observed that magnetic field stablizes the system whereas fast moving microorganisms hasten the onset of convection.

Natural Bioconvective Flow Through a Vertical Cylinder in Porous Media Drenched with a Nanofluid

A mathematical model is concerned with the natural bioconvective flow over a radiative vertical cylinder embedded in a Darcy porous medium drenched with a nanofluid containing both nanoparticles and gyrotactic microorganisms. The model utilized for the nanofluid consolidates the impacts of Brownian motion and thermophoresis in the presence of passively controlled boundary conditions and the Rosseland approximation is applied to characterize the radiative heat flux in the energy equation. Appropriate transformations are used to reframe the PDEs of the modeled system into a nonsimilar form. The obtained data are authenticated with an outstanding agreement. In this regard, the engineering quantities of interest are calculated widely with a greater grade of accuracy and therefore abstracted tabularly. To explain the influence of the emerging important flow-field parameters on the curves of velocity, temperature, and microorganisms concentration, as well as the local Nusselt and motile microorganism numbers. Several elucidations are carried out successfully along with detailed illustrations. The presented theoretical investigation has a considerable role in engineering where nanofluids flow is applied to organize a bioconvection process for the development of power generation and mechanical energy. One of the more important features of bioconvection is the aggregation of nanoparticles with motile microorganisms requested to augment the stability, heat and mass transmission.