Effect of Variable Heat Source on the Onset of Darcy‐Brinkman Convection in an Anisotropic Porous Medium

Gangadharaiah, Y. H.; Kiran, S.; Nagarathnamma, H.; Ananda, K

doi:10.1007/978-981-16-0942-8_40

Cited by 3 publications

(1 citation statement)

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“…The Galerkin method and the linear stability theory were used by Mahabaleshwar [5] and Ananda et al [6] to examine the effects of varying heat source patterns and gravity vectors. Gangadharaiah et al [7] investigated penetrative connective motion in a porous bed. Suma et al [8] investigated connective problems due to internal heating effects in a two-layered configuration with throughflow.…”

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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