Stability analysis of thermo-bioconvection flow of Jeffrey fluid containing gravitactic microorganism into an anisotropic porous medium

Garg, Arpan; Sharma, Y. D.; Jain, Subit K.

doi:10.1016/j.finmec.2022.100152

“…It is clear that the morphology or shape of microorganisms can play a significant role in the behavior and stability of the bio-thermal convection. These linear stability results may be compared with Kuznetsov (2004Kuznetsov ( , 2005, Azam (2022) and Arpan et al(2023). The nature of Rb presented here same as the studies of Zhao et al(2019), Kopp et al(2022).…”

Section: Resultsmentioning

confidence: 95%

“…Further, the Darcy-Brinkman model [Zhao et al(2019), Kopp et al(2022)] is employed with the Boussinesq approximation. With the above assumptions, the mathematical model of the problem is given by [Kuznetsov and Avramenko (2003), Nield et al(2004) and Arpan et al(2023)]:…”

Section: Problem Statements and Mathematical Formulationmentioning

confidence: 99%

Weakly nonlinear bio-convection in a porous media under temperature modulation and internal heating

Kiran,

Manjula

2023

Preprint

2

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This paper investigating the effects of thermal modulation and internal heating on Darcy-Brinkman bio-convection in a Newtonian porous medium containing gyrotactic microorganisms. A weak nonlinear stability analysis is used to analyze the stationary mode of bioconvection with low modulation and internal heating. The heat transport is measured by the mean Nusselt number, which is determined by the Ginzburg-Landau equation (GLE). The solvability condition is used at the third order of the perturbed parameter is used to calculate the GLE. The results are visually displayed to show how the system parameters affect heat transfer.The results demonstrate a progressive impact on the heat transfer of both Vadasz number and modulation amplitude. However, heat transfer is reduced as cell eccentricity and the modified bioconvection Rayleigh number increase. Internal heating causes the system to become unstable and transfer heat more quickly. Both bioconvection and internal Rayleigh numbers (Rb and R i) are of opposite effects on mean Nu. It is also found that only OPM/LBM are effective on controlling heat transfer than IPM. Additionally, it is found that only OPM/LBM are more successful at regulating heat transport than IPM. Further, it is found that the convective heat transfer process may be delayed, due to asymmetries and irregularities (α ̸ = 0) of microorganisms than spherical-shaped microorganisms (α = 0).

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“…Further, the Darcy-Brinkman model [Zhao et al(2019), Kopp et al(2022)] is employed with the Boussinesq approximation. With the above assumptions, the mathematical model of the problem is given by [Kuznetsov and Avramenko (2003), Nield et al(2004) and Arpan et al(2023)]:…”

Section: Problem Statements and Mathematical Formulationmentioning

confidence: 99%

“…Based on previous studies Kuznetsov and Avramenko (2003), Nield et al(2004) and Arpan et al(2023), but for our task, the equation governing the perturbation of the unit vector indicating the direction of swimming of microorganisms can be written as:…”

Section: Dimensionless Governing Equationsmentioning

confidence: 99%

“…It is found that due to the presence of gyrotactic microorganismsm, the Rayleigh number Ra is decreased which shows that convection sets in earlier as compared to nanofluid without microorganisms. Arpan et al (2023) recently explored the stability of thermo-bioconvection caused by gravitactic microorganisms into an anisotropic porous fluid layer saturated with Jeffrey liquid. Their findings show that a system becomes unstable as the bioconvection Péclets and the concentration of microorganisms increase.…”

mentioning

confidence: 99%

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Weakly nonlinear bio-convection in a porous media under temperature modulation and internal heating

Kiran,

Manjula

2024

Multiscale and Multidiscip. Model. Exp. and Des.

3

0

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This paper investigating the effects of thermal modulation and internal heating on Darcy-Brinkman bio-convection in a Newtonian porous medium containing gyrotactic microorganisms. A weak nonlinear stability analysis is used to analyze the stationary increase. Internal heating causes the system to become unstable and transfer heat more quickly. Both bioconvection and internal Rayleigh numbers (Rb and R i ) are of opposite effects on mean Nu. It is also found that only OPM/LBM are effective on controlling heat transfer than IPM. Additionally, it is found that only OPM/LBM are more successful at regulating heat transport than IPM. Further, it is found that the convective heat transfer process may be delayed, due to asymmetries and irregularities (α ̸ = 0) of microorganisms than spherical-shaped microorganisms (α = 0).

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Weakly nonlinear analysis of Darcy–Brinkman gravity modulated biothermal convection in rotating porous media

Akhila,

Patil Mallikarjun,

Kiran

2024

Heat Trans

0

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The present study investigates the gyrotactic microorganism flow in a rotating porous medium containing Newtonian fluid. Using gravity modulation, Darcy–Brinkman biothermal convection is examined. Linear theory describes the stationary convective mode which derives the expression for critical Rayleigh number. This indicates the onset of bioconvection. The system's marginal stability is demonstrated by graphical and tabular representation which has a good agreement with each other. The Ginzburg–Landau equation governs the Nusselt number, which is used to further explore heat transfer. The study provides an explanation and graphical representation of the effects of the following factors on heat transfer: cell eccentricity, modified Vadasz number and bioconvective Rayleigh–Darcy number, modulation frequency, and amplitude along with Taylor number. The mean Nusselt number has been plotted in the current study. The effect of rotating porous media and gravity modulation is explained in this work. Additionally, a comparison graph is plotted to examine the effects of gravity, both modulated and unmodulated, on the Nusselt number. This demonstrates how well gravity modulation on rotating porous media controls the system's heat transfer. A comparison between numerical and analytical results for unmodulated cases is also explained graphically.

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Stability analysis of thermo-bioconvection flow of Jeffrey fluid containing gravitactic microorganism into an anisotropic porous medium

Cited by 37 publications

References 44 publications

Weakly nonlinear bio-convection in a porous media under temperature modulation and internal heating

Weakly nonlinear bio-convection in a porous media under temperature modulation and internal heating

Weakly nonlinear bio-convection in a porous media under temperature modulation and internal heating

Weakly nonlinear analysis of Darcy–Brinkman gravity modulated biothermal convection in rotating porous media

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