Triple-Diffusive Convection in Porous Media
Summary
Triple-diffusive convection arises when three distinct diffusive processes—thermal, solutal and an additional compositional or colloidal gradient—interact within a porous matrix under buoyancy forces. This phenomenon extends classical single- and double-diffusive frameworks by incorporating a third scalar field, which may represent a dissolved species, nanoparticle concentration or magnetic influence. In porous media, the interplay of permeability heterogeneities, anisotropic structures and non-Newtonian rheology leads to rich stability behaviour and complex convective patterns. The governing fluid motion is often described by Darcy’s law coupled with conservation equations for heat and mass under the Boussinesq approximation. Instability thresholds and flow regimes are highly sensitive to relative diffusion rates, characterised by dimensionless numbers such as Lewis and buoyancy ratios. Triple-diffusive convection is of global significance in geological formations, enhanced oil recovery, geothermal systems and filtration technologies, where simultaneous gradients in temperature, salinity and other solutes drive multifaceted transport dynamics.
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Triple-Diffusive Convection in Porous Media publication trend
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Technical terms
Darcy’s law: A linear relation describing fluid flow through porous media, stating that velocity is proportional to pressure gradient and permeability.
Boussinesq approximation: Assumption that density variations are negligible except when appearing in buoyancy forces.
Soret effect: Thermodiffusion phenomenon in which a temperature gradient induces mass flux of a species.
Lewis number: Ratio of thermal diffusivity to mass diffusivity, indicating relative rates of heat and mass transport.
Buoyancy ratio: Dimensionless parameter expressing the ratio between solutal and thermal buoyancy forces.
Magnetohydrodynamics (MHD): Study of the dynamics of electrically conducting fluids in the presence of magnetic fields.
References
- Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation. Mathematics (2022).
- Influence of Anisotropic Permeability and Soret Effect on the Convective Heat and Mass Transfer through a Porous Cavity Saturated by a Non-Newtonian Fluid. Engineering (2023).
- Cross diffusion effects on MHD double diffusive viscous flow through Hermite wavelet method. Journal of Umm Al-Qura University for Applied Sciences (2024).
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