Onset of internal convection in superposed air-porous layer with heat source depending on solid volume fraction: influence of different modeling

Kolchanova, Ekaterina; Kolchanov, N.V.

doi:10.1007/s00707-022-03204-8

Cited by 7 publications

(2 citation statements)

References 22 publications

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“…Linear analysis has revealed that heat transfer at the free surface can induce a mode transition in convection, a phenomenon observed specifically in systems characterized by a significant surface tension effect. Subsequent research has further explored similar systems, building upon this understanding (see Kolchanova and Kolchanov, 16 Shivakumara et al, 17 Khalili et al, 18 Carr, 19 Straughan, 20 Suma et al, 21 Gangadharaiah and Suma, 22 Gangadharaiah, 23–27 Gangadharaiah and Ananda, 28 Gangadharaiah et al, 29 Yin et al, 30 and Kolchanova and Kolchanov 31 ).…”

Section: Introductionmentioning

confidence: 99%

LTNE effects on two‐layer configuration with throughflow

Y. H.

2024

Heat Trans

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The effect of throughflow on the beginning of convective motion in a fluid layer overlying a fluid‐saturated porous layer is examined theoretically in this article under the local thermal nonequilibrium model. We considered boundaries to be insulating to temperature perturbations. The normal mode approach is employed to analyze the governing equation for a composite configuration, with the solution sought through the regular perturbation technique to assess linear stability. The critical Rayleigh number, signifying the initiation of stationary convection, has been determined by solving the system of coupled equations. It is found that the system attains stability with increased porosity–conductivity ratios, regardless of the throughflow direction. This stability is consistently observed for depth ratios of 0.1 and 0.2. However, for higher depth ratios (0.5 and 1.0), the system exhibits dual nature stability when throughflow is present. Further, the stability of the system is enhanced by a graphical depiction illustrating how the throughflow parameter, porosity‐scaled conductivity ratio, depth ratio, Darcy number, and Prandtl number collectively influence the onset of convective motion.

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Section: Introductionmentioning

confidence: 99%

LTNE effects on two‐layer configuration with throughflow

Y. H.

2024

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“…The effect of internal heating on linear dependence on solid friction with throughflow on superposed air-porous configuration was investigated by Kolchanova and Kolchanov. 41 They have shown that throughflow has both stabilizing and destabilizing in the range Pe −6 6 . ≤ ≤ Very recently, the impact of heat generation on multilayered air-porous configuration was investigated by Kolchanova and Kolchanov.…”

Section: Introductionmentioning

confidence: 99%

Effects of throughflow and internal heating in a composite air‐porous medium

Gangadgaraiah

2024

Heat Trans

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The effect of an internal heat source linearly dependent on the solid fraction on the onset of convection in a composite air‐porous channel with vertical throughflow has been analyzed. We considered boundaries to be insulating to temperature perturbations. The governing equation that satisfies the air‐porous configuration is analyzed by the normal mode approach, solved by the regular perturbation technique for linear stability, and the critical internal Darcy–Rayleigh number for the onset of stationary convection has been derived. The paper aims to analyze the effects of parameters like heat source size, depth ratio, Darcy number, throughflow direction, solid fraction, and Prandtl number on stationary convection in a composite air‐porous configuration. Understanding these influences can illuminate thermal behaviors in intricate systems and inform applications in heat transfer and fluid dynamics. The observed stability configuration decreases monotonically due to increasing the effect of the depth ratio and solid fraction at any direction and velocity of the throughflow. The thermal and vertical velocity profiles and the results obtained during the analysis have been presented graphically.

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Onset of Penetrative Convection in a Multilayered Heat-generating Porous System with Thin Air Interlayers

Kolchanova

Kolchanov

2023

Microgravity Sci. Technol.

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Onset of internal convection in superposed air-porous layer with heat source depending on solid volume fraction: influence of different modeling

Cited by 7 publications

References 22 publications

LTNE effects on two‐layer configuration with throughflow

LTNE effects on two‐layer configuration with throughflow

Effects of throughflow and internal heating in a composite air‐porous medium

Onset of Penetrative Convection in a Multilayered Heat-generating Porous System with Thin Air Interlayers

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