A theoretical analysis of steady three-dimensional flow and heat transfer of Power-Law nanofluid over a stretchable rotating disk filled with gyrotactic microorganisms (original) (raw)
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The bioconvection phenomenon, through the utilization of nanomaterials, has recently encountered significant technical and manufacturing applications. Bioconvection has various applications in bio-micro-systems due to the improvement it brings in mixing and mass transformation, which are crucial problems in several micro-systems. The present investigation aims to explore the bioconvection phenomenon in magneto-nanofluid flow via free convection along an inclined stretching sheet with useful characteristics of viscous dissipation, constant heat flux, solutal, and motile micro-organisms boundary conditions. The flow analysis is addressed based on the Buongiorno model with the integration of Brownian motion and thermophoresis diffusion effects. The governing flow equations are changed into ordinary differential equations by means of appropriate transformation; they were solved numerically using the Runge–Kutta–Fehlberg integration scheme shooting technique. The influence of all the sun...
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Nanofluid dynamics with magnetohydrodynamics has tremendously contributed in industrial applications recently since presence of nanoparticle in base fluids enhances the specific chemical and physical properties. Owing to the relevance of nanofluid dynamics, we analyze the nanofluid flow in the presence of gyrotactic microorganism and magnetohydrodynamics through a stretching/shrinking plate. The impacts of chemical reaction and thermal radiation on flow characteristics are also studied. To simplify the governing equations of microorganisms, velocity, concentration and temperature, the similarity transformations are employed. The couple governing equations are numerically solved using Successive Taylor Series Linearization Method (STSLM). The velocity profile, motile microorganism density profile, concentration profile, temperature profile as well as Nusselt number, skin friction coefficient, Sherwood number and density number of motile microorganisms are discussed using tables and graphs against all the sundry parameters. A numerical comparison is also given for Nusselt number, Sherwood number, skin friction, and density number of motile microorganisms with previously published results to validate the present model. The results show that Nusselt number, Sherwood number and density number diminish with increasing the magnetic field effects. Keywords Nanofluiddynamics • Magnetohydrodynamics • STSLM • Gyrotactic microorganism • Thermophoresis Nomenclaturē B 0 Magnetic field (T) xūv Components of velocity (m/s) α Thermal conductivity (W/mK) DT Thermophoretic coefficient K c Chemical reaction parameter S c Schmidt number S b Bioconvection Schmidt number M Magnetic field parameter (T) S Suction/injection parameter T w Temperature of the wall (K) D. Tripathi
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Alexandria Engineering Journal, 2021
To improve the heat efficiency base fluids (water, engine oil, glycol), the interaction of nanoparticles (nanotubes, droplets, nanowires, metals and non-metals) into such traditional liquids is the most frequent mechanism and attained the researchers attention, especially in current decade. The nanofluid is a suspension of submerged solid particles in base fluids. The nano-materials convinced the applications in the field of nanotechnology, thermal engineering, industrial and bioengineering. Following to such motivating applications in mind, current research reports the stagnation point flow of radiative micropolar nanofluid over an off centered rotating disk with applications of motile microorganisms. The novel dynamic of thermal radiation and activation energy are also incorporated. The appropriate transformations are utilized to reduce the partial differential equations into dimensionless forms. A numerical shooting scheme is used to obtain the approximate solution with MATLAB software. The effects of prominent parameter on velocity profile, nanofluid temperature, concentration of nanoparticles and microorganism profile are physically incorporated.
Numerical Methods for Partial Differential Equations, 2020
Among other non-Newtonian fluid models, power-law fluid has gained much acceptance because of its some powerful applications such as pressure drop calculation in the drilling industry, utilization of blood flow for red cells in plasma and static as well as dynamic filtration. The aim is to analyze theoretically the steady three-dimensional boundary layer flow near the stagnation point and heat transfer of power-law ferrofluid over rotatory stretchable. The effect of Lorentz force on the flow and the influence of nonlinear thermal radiation upon the temperature is also incorporated. For this phenomenon, magnetite (3 4) is considered as ferrofluid particles which are mixed with the base fluid (water). Physically modeled partial differential equations (PDEs) are lessened to ordinary differential equations (ODEs) by the support of precise similarity transformation and then the shooting method is implemented to obtain the solution of the resultant ODEs. A comprehensive tabular comparison between present and previously existing outcomes is made. From an overall exploration it can be concluded that the cross-sectional flow for shear thinning and shear thickening is examined upon increasing the concentration of the nanoparticles and flow behaving index of power-law. The Lorentz force retards the flow near the disk due to which velocity components decrease. Also, the temperature escalates for nonlinear radiation and this escalation is more prominent for shear thinning. Furthermore, the Prandtl number helps in controlling the boundary layer thickness.
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In this paper, we discussed the effect of nanoparticles shape on bioconvection nanofluid flow over the vertical cone in a permeable medium. The nanofluid contains water, Al 2 O 3 nanoparticles with sphere (spherical) and lamina (non-spherical) shapes and motile microorganisms. The phenomena of heat absorption/generation, Joule heating and thermal radiation with chemical reactions have been incorporated. The similarity transformations technique is used to transform a governing system of partial differential equations into ordinary differential equations. The numerical bvp4c MATLAB program is used to find the solution of ordinary differential equations. The interesting aspects of pertinent parameters on mass transfer, energy, concentration, and density of the motile microorganisms' profiles are computed and discussed. Our analysis depicts that the performance of sphere shape nanoparticles in the form of velocity distribution, temperature distribution, skin friction, Sherwood number and Motile density number is better than lamina (non-spherical) shapes nanoparticles.
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The steady MHD flow of a power law nanofluid due to a uniform rotation of an infinite disk is studied with heat and mass transfer. The viscous dissipation has been comprised in the energy equation. The governing PDEs are reduced to a set of ODEs; using the generalized Von Karman similarity transformations; for which finite difference numerical scheme is implemented along with the associated boundary conditions. The non-Newtonian fluid characteristics affect the fluid velocity, temperature and concentration of suspended nanoparticles. The significant effects of thermal radiation, Brownian motion and thermophoresis diffusion are involved. The skin friction coefficients in addition to the heat and mass transfer rates are defined and calculated considering the variation of all flow parameters. The present results are verified and compared with literature.
scientific reports, 2023
The current study examines the numerical simulation of the nanoliquid boundary layer flow comprising gyrotactic microbes with mass and energy transmission across a stretching inclined cylinder. The consequences of chemical reaction, heat generation/absorption, buoyancy force and Arrhenius activation energy is also considered on the nanofluid flow. The flow mechanism has been modeled in the form of system of nonlinear partial differential equations (PDEs). That system of PDEs is further transform into the dimensionless set of ordinary differential equations (ODEs) through the similarity substitutions. The obtained set of differential equations are numerically computed through the parametric continuation method (PCM). The effects of the distinct physical constraints on the energy, velocity, mass and the motile microbe profiles are discoursed and evaluated through Tables and Figures. It has been noticed that the velocity curve drops with the influence of inclination angle and Richardson number, while enhances against the variation of curvature factor. Furthermore, the energy field boosts with the upshot of inclination angle and heat source term, while declines with the influence of Prandtl number and Richardson number.