Effect of small particles on this stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth

Кузнецов, А. В.; Авраменко, А. А.

doi:10.1016/s0735-1933(03)00196-9

Cited by 202 publications

(58 citation statements)

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“…The problem is analogous to the familiar double diffusive problem (Nield and Bejan 2006). It is also analogous to a bioconvection problem discussed in Kuznetsov and Avramenko (2004). We have defined Rn in a way so that it is positive when the applied particle density increases upward (the destabilizing situation).…”

Section: Non-oscillatory Convectionmentioning

confidence: 99%

Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: Brinkman Model

2009

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The onset of convection in a horizontal layer of a porous medium saturated by a nanofluid is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. For the porous medium, the Brinkman model is employed. Three cases of free-free, rigid-rigid, and rigid-free boundaries are considered. The analysis reveals that for a typical nanofluid (with large Lewis number), the prime effect of the nanofluids is via a buoyancy effect coupled with the conservation of nanoparticles, whereas the contribution of nanoparticles to the thermal energy equation is a second-order effect. It is found that the critical thermal Rayleigh number can be reduced or increased by a substantial amount, depending on whether the basic nanoparticle distribution is top-heavy or bottom-heavy, by the presence of the nanoparticles. Oscillatory instability is possible in the case of a bottom-heavy nanoparticle distribution.

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Section: Non-oscillatory Convectionmentioning

confidence: 99%

Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: Brinkman Model

2009

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“…The problem is analogous to the double-diffusive problem discussed in Section 9.1.1 of Nield and Bejan [26]. It is also analogous to the bioconvection problem discussed by Kuznetsov and Avramenko [27]. We have defined Rn in a way so that it is positive when the applied particle density increases upwards (the destabilizing situation).…”

Section: Non-oscillatory Convectionmentioning

confidence: 99%

“…where (27) then Eq (17) and (21)- (25) take the form N is a modified diffusivity ratio and is somewhat similar to the Soret parameter that arises in cross-diffusion phenomena in solutions, while B N is a modified particle-density increment. In the spirit of the Oberbeck-Boussinesq Eq (29) has been linearize by the neglect of a term proportional to the product of φ and T.…”

Section: Application To the Horton -Rogerslapwood Problemmentioning

confidence: 99%

Convective Transport of Nanofluid Saturated with Porous Layer

Kumar¹

2017

AJAM

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Abstract:In the present article, the onset of convection in a horizontal layer of porous medium saturated by ananofluid is investigated analytically using linear and weakly nonlinear analysis. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. The effect of Raleigh-Darcy number, Lewis number, modified diffusivity ratio, on the stability of the system is investigated. Stationary and Oscillatory modes of convections has been studied. The linear stability analysis is based on normal mode technique, while then on linear theory is based on the truncated representation of Fourier series method. A weekly nonlinear analysis is used to obtain the concentration and thermal Nusselt number. The behavior of the concentration and thermal Nusselt number is investigated by solving the finite amplitude equations. Obtained results have been presented graphically and discussed in details.

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“…When microorganisms which are heavier than water are present with nanoparticles in water, bioconvection occur due to the movement of microorganisms in a specific direction [32][33]. Kuznetsov and Avramenko [34] and Kuznetsov and Geng [35][36][37][38] investigated theoretically the bioconvection behavior of suspensions of gyrotactic microorganisms. The concept of nanofluid bioconvection was probably first introduced by Kuznetsov [39][40].…”

Section: Introductionmentioning

confidence: 99%

Bioconvection nanofluid slip flow past a wavy surface with applications in nano-biofuel cells

Uddin

Khan

Qureshi

et al. 2017

Chinese Journal of Physics

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Effect of small particles on this stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth

Cited by 202 publications

References 0 publications

Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: Brinkman Model

Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: Brinkman Model

Convective Transport of Nanofluid Saturated with Porous Layer

Bioconvection nanofluid slip flow past a wavy surface with applications in nano-biofuel cells

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