The effect of high-frequency vertical vibration in a suspension of gyrotactic micro-organisms

Sharma, Y. D.; Kumar, Virendra

doi:10.1016/j.mechrescom.2012.06.001

Cited by 33 publications

(14 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The presented model is the deterministic continuum model developed for the gyrotactic swimmers [2]. The averaged equations for vibrational bioconvection in the high-frequency estimation were discussed and formulated [17,24,25]. In the present model, the conservation of momentum is supported by additional terms like vibrational and buoyancy forces resulted from the impacts of the vertical vibrations and thermal gradient.…”

Section: Formulation Of the Problem And Analysismentioning

confidence: 99%

“…vibration << Min viscous , buoyancy , convective [24]. The amplitude of vibration is sufficiently low which ultimately makes the quickly varying velocity components (in the inertial terms) negligibly small i.e., b ≪ d ΔT n 1 − n 2 Δ ∕ 0 [37].…”

Section: Formulation Of the Problem And Analysismentioning

confidence: 99%

“…An overstability analysis of bio-thermal convection combining the nanoparticles and the gyrotactic swimmers is studied by Kuznetsov [23]. Furthermore, Sharma and Kumar expended the study by reporting the analytical computations for a vertically vibrated aqueous and porous suspension of the gyrotactic swimmers in the absence of the thermal effect [24,25]. Becker and co-workers presented the experimental results to demonstrate the collective swimming of the bodies due to their flow mediated reaction [26].…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, a deterministic continuum approach for a binary gyrotactic bioconvection; located between two infinite horizontal surfaces, is extended to include the effect of thermal gradient and vertical vibration. This work is an augmentation to one of the author's previous reported study in the absence of thermal stratification, oscillatory convection and the rigid-free boundaries [24]. The adopted model consists of a shallow fluid layer and the physical mechanisms such as Boussinesq approximation are considered with no-slip and rigid-free boundaries.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An overstability analysis of vertically vibrated suspension of active swimmers subjected to thermal stratification

Kumar

Srikanth

2021

SN Appl. Sci.

Self Cite

View full text Add to dashboard Cite

The present article focuses on the analytical approach to discuss the thermo–vibrational convection in a suspension of the active (gyrotactic) swimmers. The onset of instability criterion is investigated for the stationary and oscillatory modes of convection in a shallow fluid layer with no–slip and rigid–free walls. The eigenvalue problem is tackled by Galerkin scheme to get the desired stability diagram and the correlation between the critical Rayleigh numbers. The overstability in suspension is possible when the unstable density gradient of the gyrotactic particles is opposed by the density variation due to thermo–vibrational influence. The suspension is destabilized due to gyrotactic up–swimming while the increase in Péclet number stabilizes the system. The stabilizing influence of vertical vibration is considerably affected due to thermal gradient which destabilizes the suspension. An interesting result of this study is the influence of thermo–vibrational parameter which is associated with applied thermal and vibrational properties. We reported that the destabilizing nature of thermo–vibrational parameter becomes thermally or vibrationally governed when the suspension is heated or cooled from below. When compared to the rigid–rigid boundaries, the displayed profiles for rigid–free walls yielded less stableness in the suspension.

show abstract

Section: Formulation Of the Problem And Analysismentioning

confidence: 99%

Section: Formulation Of the Problem And Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An overstability analysis of vertically vibrated suspension of active swimmers subjected to thermal stratification

Kumar

Srikanth

2021

SN Appl. Sci.

Self Cite

View full text Add to dashboard Cite

show abstract

“…These spontaneous and random movement patters of microorganisms in the suspension are described as bioconvection. Geotactic stimulus (Winet and Jahn, 1974;Kuznetsov and Jiang 2003), chemotatic (Yanaoka et al, 2009) and gyrotactic (Ghorai and Hill 2000;Sharma and Kumar, 2012). The reason of investigation of swimming pattern of microorganisms in water or in other liquids denser than water is their involvement ecological, commercial and industrial products such as ecological fuels, ethanol, fertilizers, fuel cells.…”

Section: Introductionmentioning

confidence: 99%

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

et al. 2017

View full text Add to dashboard Cite

The present work is focused on behavioral characteristics of gyrotactic microorganisms to describe their role in heat and mass transfer in the presence of magnetohydrodynamic (MHD) forces in Powell-Eyring nanofluids. Implications concerning stretching sheet with respect to velocity, temperature, nanoparticle concentration and motile microorganism density were explored to highlight influential parameters. Aim of utilizing microorganisms was primarily to stabilize the nanoparticle suspension due to bioconvection generated by the combined effects of buoyancy forces and magnetic field. Influence of Newtonian heating was also analyzed by taking into account thermophoretic mechanism and Brownian motion effects to insinuate series solutions mediated by homotopy analysis method (HAM). Mathematical model captured the boundary layer regime that explicitly involved contemporary non linear partial differential equations converted into the ordinary differential equations. To depict nanofluid flow characteristics, pertinent parameters namely bioconvection Lewis number Lb, traditional Lewis number Le, bioconvection Péclet number Pe, buoyancy ratio parameter Nr, bioconvection Rayleigh number Rb, thermophoresis parameter Nt, Hartmann number M, Grashof number Gr, and Eckert number Ec were computed and analyzed. Results revealed evidence of hydromagnetic bioconvection for microorganism which was represented by graphs and tables. Our findings further show a significant effect of Newtonian heating over a stretching plate by examining the coefficient values of skin friction, local Nusselt number and the local density number. Comparison was made between Newtonian fluid and Powell-Eyring fluid on velocity field and temperature field. Results are compared of with contemporary studies and our findings are found in excellent agreement with these studies.

show abstract

Free Convection: Cavities and Layers

Кузнецов¹,

Кузнецов²

2018

Handbook of Thermal Science and Engineering

View full text Add to dashboard Cite

The effect of high-frequency vertical vibration in a suspension of gyrotactic micro-organisms

Cited by 33 publications

References 33 publications

An overstability analysis of vertically vibrated suspension of active swimmers subjected to thermal stratification

An overstability analysis of vertically vibrated suspension of active swimmers subjected to thermal stratification

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

Free Convection: Cavities and Layers

Contact Info

Product

Resources

About