Scaling group analysis of bioconvective micropolar fluid flow and heat transfer in a porous medium

Naganthran, Kohilavani; Basir, Faisal Md; Thumma, Thirupathi; Ige, Ebenezer Olubunmi; Tlili, Iskander

doi:10.1007/s10973-020-09733-5

Cited by 39 publications

(18 citation statements)

References 51 publications

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“…Qasim et al 55 performed numerical simulations for heat transfer in the peristaltic movement of fluid of variable electrical conductivity using the generalized differential quadrature method. Similar studies were also carried out in references 56‐71 …”

Section: Introductionsupporting

confidence: 70%

Numerical investigation on optimization of thermal analysis due to immersion of hybrid nanostructures in a fluid of shear dependent viscosity using the finite element method

2021

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This article considers the dispersion of hybrid and mono nanoparticles in a fluid with viscosity (Williamson) dependent on shear rate, over a heated surface moving with nonuniform velocity and exposed to a magnetic field in the presence of an applied current. Extensive modeling leads to complex coupled mathematical models that are solved numerically via the finite element method (FEM). Convergent simulations are run to investigate the role of parameters on the dynamics of flow fields. The magnetic field intensity plays a role in controlling the magnetohydrodynamic boundary layer thickness (BLT) and thermal radiation controls the thickness of thermal boundary layers (TBL). However, the magnetic field intensity is responsible for an increase in BLT. In contrast to this, thermal radiation plays a role in controlling the thickness of the TBL. The impact of shear rate dependent viscosity on velocity is remarkable for both fluids. The motion of both of the fluids slows down when viscosity varies as a function of shear rate. Viscosity depending on the shear rate has a significant impact on wall shear stress. It is observed from simulations that wall shear increases when the parameters appearing in the model for shear rate dependent viscosity are increased. However, this increase in wall shear stress associated with a hybrid nanofluid is greater than the increase in wall shear stress associated with a mono nanofluid.

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Section: Introductionsupporting

confidence: 70%

Numerical investigation on optimization of thermal analysis due to immersion of hybrid nanostructures in a fluid of shear dependent viscosity using the finite element method

2021

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“…Wakif et al 9 analyzed the role of thermal radiations and roughness of surface on the stability of an magnetohydrodynamic (MHD) fluid containing an alumina–copper oxide hybrid nanofluid using Buongiorno's models for thermophysical properties for the base fluid and nanostructures. Naganthran et al 10 used the scaling group approach for the analysis of mass and heat transport in bioconvective micropolar fluid over a stretching surface. Thumma et al 11 applied the finite element method for numerical analysis of heat transfer enhancement in a nanofluid subjected to thermal radiation, heat source, and oscillation of the inclined plate.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of heat and mass transfer in MHD flow of nanofluid in a porous medium with Soret and Dufour effects

et al. 2021

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This article models the transport mechanism of mass and heat energy under temperature and concentration gradients. Mathematical models in the form of partial differential equations based on conservation laws for fluid flow and transfer of heat and mass subjected to thermal diffusion and diffusion thermos, heat generation porous medium, and buoyancy forces are developed under boundary layer approximations. These models along with models of nanostructures are solved numerically using the shooting method with the Runge–Kutta method of order five. Convergent solutions are obtained and are used for parametric analysis regarding thermal enhancement of a working fluid having nanoparticles of CuO, Al2O3, and TiO2. Numerical experiments are performed and it is observed that the transport of heat is accelerated when the compositional gradient is increased. Similarly, a significant rise in the transport across concentration is noted when the temperature gradient is increased. The magnetohydrodynamic flow experienced retardation when the porous medium parameter and Hartmann number are increased. The temperature increased when the friction force produced heat and that heat is distributed to the particles of the fluid. Hence, viscous dissipation is responsible for widening the thermal boundary layer region.

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“…Balla et al 16 studied oxytactic bioconvection in a porous square cavity. Bioconvective micropolar fluid flow and heat transfer in a porous medium were studied by Naganthran et al 17 Balla et al 18 have also analyzed the bioconvective flow with both nanoparticles and oxytactic microorganisms. Thermal diffusion is a consequence of separation of various sizes of molecules with thermal gradient, known as Soret impact.…”

Section: Introductionmentioning

confidence: 99%

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

Balla

Alluguvelli²,

Kishan

et al. 2021

Heat Trans

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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.

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Scaling group analysis of bioconvective micropolar fluid flow and heat transfer in a porous medium

Cited by 39 publications

References 51 publications

Numerical investigation on optimization of thermal analysis due to immersion of hybrid nanostructures in a fluid of shear dependent viscosity using the finite element method

Numerical investigation on optimization of thermal analysis due to immersion of hybrid nanostructures in a fluid of shear dependent viscosity using the finite element method

Numerical study of heat and mass transfer in MHD flow of nanofluid in a porous medium with Soret and Dufour effects

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

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