Magnetohydrodynamic stratified bioconvective flow of micropolar nanofluid due to gyrotactic microorganisms

Atif, S. M.; Hussain, Shafqat; Sagheer, Muhammad

doi:10.1063/1.5085742

Cited by 47 publications

(28 citation statements)

References 23 publications

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“…Therefore, following 14,15,24 the transport equations, that is, the conservation of mass, momentum, energy, concentration of nanofluid, and gyrotactic microorganisms concentration in dimensional form can be written as follows:

\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0

\begin{matrix} true0.33em \\ right u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} & center = & left (1 + \frac{1}{β}) ν_{f} \frac{\partial^{2} u}{\partial y^{2}} + \frac{g}{ρ_{f}} [{(1 - C_{f})}_{ρ f} β_{T} MathClass-open(T - T_{\infty} MathClass-close) - MathClass-open(ρ_{p} - ρ_{f} MathClass-close) MathClass-open(C - C_{\infty} MathClass-close) \\ right & center & left - γ_{w} MathClass-open(N - N_{\infty} MathClass-close) MathClass-open(ρ_{m} - ρ_{f} MathClass-close)] - \frac{ν_{f}}{K} u - \frac{K^{F}}{\sqrt{K}} u^{2} - \frac{σ B_{0}^{2}}{ρ_{f} MathClass-open(1 + m^{2} MathClass-close)} MathClass-open(u + m w MathClass-close) \end{matrix}

u \frac{\partial w}{\partial x} + v \frac{\partial w}{\partial y} = ((), 1 + \frac{1}{β}) ν_{f} \frac{\partial^{2} w}{\partial y^{2}} - \frac{ν_{f}}{K} w - \frac{K^{F}}{\sqrt{K}} w^{2} + \frac{σ B_{0}^{2}}{ρ_{f}}

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Spectral local linearisation method for MHD Casson fluid on stratified bioconvective porous medium flow due to gyrotactic microorganisms

2020

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In this paper, the effect of hall parameter on the flow of Casson nanofluid containing gyrotactic microorganisms over a stretching boundary in a porous medium is studied. The stratification, porosity, and Casson fluid parameters are also examined. Using suitable similarity transformations, the basic equations describing the flow are converted to nonlinear differential equations, which are then solved computationally using the spectral local linearisation method. The effects of key parameters such as the Hall parameter, the thermophoresis parameter, the porosity parameter, and Casson fluid parameters are analyzed. The results obtained suggest that the Hall parameter has the effect of decreasing the secondary flow, the heat and mass transfer rate, and density of the motile microorganisms. A decrease in the the Hall parameter is found to cause an increase in the transfer rate, the mass transfer rate, and the density of the motile microorganisms. An increase in the porosity parameter leads to a decline in the skin friction, heat transfer rate, mass transfer rate, and density of the motile microorganisms. The applications of this study arise in industrial areas, including Hall current accelerators, planetary dynamics, Hall current sensors, and magnetohydrodynamic power generators.

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\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0

\begin{matrix} true0.33em \\ right u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} & center = & left (1 + \frac{1}{β}) ν_{f} \frac{\partial^{2} u}{\partial y^{2}} + \frac{g}{ρ_{f}} [{(1 - C_{f})}_{ρ f} β_{T} MathClass-open(T - T_{\infty} MathClass-close) - MathClass-open(ρ_{p} - ρ_{f} MathClass-close) MathClass-open(C - C_{\infty} MathClass-close) \\ right & center & left - γ_{w} MathClass-open(N - N_{\infty} MathClass-close) MathClass-open(ρ_{m} - ρ_{f} MathClass-close)] - \frac{ν_{f}}{K} u - \frac{K^{F}}{\sqrt{K}} u^{2} - \frac{σ B_{0}^{2}}{ρ_{f} MathClass-open(1 + m^{2} MathClass-close)} MathClass-open(u + m w MathClass-close) \end{matrix}

u \frac{\partial w}{\partial x} + v \frac{\partial w}{\partial y} = ((), 1 + \frac{1}{β}) ν_{f} \frac{\partial^{2} w}{\partial y^{2}} - \frac{ν_{f}}{K} w - \frac{K^{F}}{\sqrt{K}} w^{2} + \frac{σ B_{0}^{2}}{ρ_{f}}

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Spectral local linearisation method for MHD Casson fluid on stratified bioconvective porous medium flow due to gyrotactic microorganisms

2020

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“…Huda et al 8 investigated the elements of variable thickness nanofluid stream with heat move in an adaptable vertical cylinder under engendering waves. Atif et al 9 researched MHD‐separated bioconvective progression of micropolar nanofluid due to gyrotactic microorganisms. Impact of concoction response on bioconvection stream in oxytocic microorganisms suspended permeable cavity was accounted for by Balla et al 10 Asha et al 11 investigated the impact of Joule warming and MHD on peristaltic bloodstream of Eyring‐Powell nanofluid in a nonuniform channel.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous effects of radiation, magnetic field on peristaltic flow of Carreau nanofluid submerged in gyrotactic microorganisms with heat and mass transfer

et al. 2020

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Our study intends to examine the combined effects of radiation, magnetic field, and chemical reaction on the peristaltic flow of a non‐Newtonian fluid containing gyrotactic microorganisms and nanoparticles. The system of our equations is understood numerically by using the Rung‐Kutta‐Merson method with Newton iteration in a shooting and matching procedure. The effect of physical implanted parameters is represented and discussed through a lot of charts for velocity, temperature, nanoparticle concentration, the density of motile microorganisms. From this discussion, we notice that the motile microorganisms profile is affected by the arising with the Brownian motion parameter and radiation parameter but the thermophoresis parameter, traditional Lewis number, and bioconvection of Peclet number are decremented the motile microorganisms profile.

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“…Ghorai and Hill [32] additionally clarified that bioconvection can be utilized to illustrate the process of impulsive model improvement in fluids containing microorganisms like bacteria and algae. Atif et al [33] scrutinized the homogenous micropolar bioconvective fluid flow with nanoparticles and gyrotactic microorganisms. Khan et al [34] inspected 2D bioconvection coupled stress fluid flow with nanoparticles, magnetic field and gyrotactic motile microorganisms.…”

Section: Introductionmentioning

confidence: 99%

On Generalized Fourier’s and Fick’s Laws in Bio-Convection Flow of Magnetized Burgers’ Nanofluid Utilizing Motile Microorganisms

Alshomrani

2020

Mathematics

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This article describes the features of bio-convection and motile microorganisms in magnetized Burgers’ nanoliquid flows by stretchable sheet. Theory of Cattaneo–Christov mass and heat diffusions is also discussed. The Buongiorno phenomenon for nanoliquid motion in a Burgers’ fluid is employed in view of the Cattaneo–Christov relation. The control structure of governing partial differential equations (PDEs) is changed into appropriate ordinary differential equations (ODEs) by suitable transformations. To get numerical results of nonlinear systems, the bvp4c solver provided in the commercial software MATLAB is employed. Numerical and graphical data for velocity, temperature, nanoparticles concentration and microorganism profiles are obtained by considering various estimations of prominent physical parameters. Our computations depict that the temperature field has direct relation with the thermal Biot number and Burgers’ fluid parameter. Here, temperature field is enhanced for growing estimations of thermal Biot number and Burgers’ fluid parameter.

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Magnetohydrodynamic stratified bioconvective flow of micropolar nanofluid due to gyrotactic microorganisms

Cited by 47 publications

References 23 publications

Spectral local linearisation method for MHD Casson fluid on stratified bioconvective porous medium flow due to gyrotactic microorganisms

Spectral local linearisation method for MHD Casson fluid on stratified bioconvective porous medium flow due to gyrotactic microorganisms

Simultaneous effects of radiation, magnetic field on peristaltic flow of Carreau nanofluid submerged in gyrotactic microorganisms with heat and mass transfer

On Generalized Fourier’s and Fick’s Laws in Bio-Convection Flow of Magnetized Burgers’ Nanofluid Utilizing Motile Microorganisms

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