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STABILITY OF AN ANISOTROPIC POROUS LAYER WITH INTERNAL HEAT SOURCE AND BRINKMAN EFFECTS

Volume 10, Issue 1, 2019, pp. 65-87
DOI: 10.1615/SpecialTopicsRevPorousMedia.2018025396
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ABSTRACT

The effects of the internal heat source and anisotropy in permeability on the onset of convection in a fluid layer modeled using modified Darcy's equation are analyzed using linear and nonlinear analysis for impermeable and isothermal boundaries. Normal mode technique is used for linear analysis and energy method is used for nonlinear stability analysis. The presence of heat generation and anisotropy of the medium leads to the possibility of the existence of a subcritical instability. Effects of Darcy–Brinkman number, anisotropic parameter, and internal heat parameter on the value of critical Rayleigh numbers were analyzed using Chebyshev-QZ method.

CITED BY
  1. Storesletten Leiv, Rees D. Andrew S., Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation, Fluids, 4, 2, 2019. Crossref

  2. Govender Saneshan, Vadasz Number Effects on Convection in a Horizontal Porous Layer Subjected to Internal Heat Generation and G-Jitter, Fluids, 5, 3, 2020. Crossref

  3. Govender Saneshan, Vadasz Number Effects on Convection in a Vertical Rotating Porous Layer, Placed Far from Axis of Rotation, and Subjected to Internal Heat Generation and Centrifugal Jitter, Physics, 3, 3, 2021. Crossref

  4. Noor Arshika S., Tarannum Sameena, Pranesh Subbarama, Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations, Heat Transfer, 51, 1, 2022. Crossref

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