Influence of Viscosity Variation on Surface Driven Convection in a Composite Layer With a Boundary Slab of Finite Thickness and Finite Thermal Conductivity

Gangadharaiah, Y. H.; Ananda, K

doi:10.17654/hm019020269

Cited by 4 publications

(2 citation statements)

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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][24][25][26][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

Heat Trans

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“…Nouri-Borujerdi et al [14] looked at the impact of internal heating in a porous bed using a thermal model. Many scholars have looked at the effect of temperature-dependent viscosity issues on thermal convection in recent years (Gangadharaiah and Ananda [15], Barletta and Nield [16]]). In addition, the effect of temperature-dependent viscosity is vital for the regulation of convective mechanisms in science, geophysics, manufacturing, etc.…”

Section: Introductionmentioning

confidence: 99%

Effect of Variable Heat Source and Gravity Variance on the Convection in Porous Layer with Temperature-Dependent Viscosity

Manjunatha

Gangadharaiah²,

Yellamma

et al. 2023

Scientia Iranica

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The joint influences of variable heat source patterns and temperature-reliant viscosity on the onset of convective motion in porous beds in the presence of gravity variance have been investigated. The linear analysis is performed using normal mode analysis and the Galerkin technique is applied to analyze the impact of variable heating and changeable gravity field on the behavior of system stability. The exponential temperature-dependent viscosity is considered. We examined three different types of heat source and gravity variance function combinations:Convection is accelerated by increases in viscosity and the gravity variance parameter, but decelerated by increases in the heat source strength. It has been shown that the configuration is more stable when the gravity variance and heat source functions are combined in instance (ii), but less stable when they are combined in case (iii).

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