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Kelvin–Voigt Fluid Models in Double-Diffusive Porous Convection (2024)
Journal Article
Straughan, B. (2025). Kelvin–Voigt Fluid Models in Double-Diffusive Porous Convection. Transport in Porous Media, 152(1), Article 11. https://doi.org/10.1007/s11242-024-02147-z

We investigate problems of convection with double diffusion in a saturated porous medium, where the saturating fluid is one of viscoelastic type, being specifically a Navier–Stokes–Voigt fluid, or a Kelvin–Voigt fluid. The double diffusion problem is... Read More about Kelvin–Voigt Fluid Models in Double-Diffusive Porous Convection.

Anomalous mass diffusion in a binary mixture and Rayleigh-Bénard instability. (2024)
Journal Article
Barletta, A., & Straughan, B. (2024). Anomalous mass diffusion in a binary mixture and Rayleigh-Bénard instability. Physical Review E, 110(4), Article 045102. https://doi.org/10.1103/PhysRevE.110.045102

The onset of the Rayleigh-Bénard instability in a horizontal fluid layer is investigated by assuming the fluid as a binary mixture and the concentration buoyancy as the driving force. The focus of this study is on the anomalous diffusion phenomenolog... Read More about Anomalous mass diffusion in a binary mixture and Rayleigh-Bénard instability..

Stability problems with generalized Navier–Stokes–Voigt theories (2024)
Journal Article
Straughan, B. (2024). Stability problems with generalized Navier–Stokes–Voigt theories. Annali dell'Universita di Ferrara, 70, Article 1747-1766. https://doi.org/10.1007/s11565-024-00540-6

We investigate some hydrodynamic stability problems in the context of the Navier–Stokes–Voigt equations. It is pointed out that one should regard the usual set of equations known as the Navier–Stokes–Voigt equations as being the Navier–Stokes equatio... Read More about Stability problems with generalized Navier–Stokes–Voigt theories.

Discontinuity waves in temperature and diffusion models (2024)
Journal Article
Ciarletta, M., Straughan, B., & Tibullo, V. (2024). Discontinuity waves in temperature and diffusion models. Mechanics Research Communications, 137, Article 104274. https://doi.org/10.1016/j.mechrescom.2024.104274

We analyse shock wave behaviour in a hyperbolic diffusion system with a general forcing term which is qualitatively not dissimilar to a logistic growth term. The amplitude behaviour is interesting and depends critically on a parameter in the forcing... Read More about Discontinuity waves in temperature and diffusion models.

Asymptotic behaviour for convection with anomalous diffusion (2024)
Journal Article
Straughan, B., & Barletta, A. (2024). Asymptotic behaviour for convection with anomalous diffusion. Continuum Mechanics and Thermodynamics, 36(4), 737-743. https://doi.org/10.1007/s00161-024-01291-7

We investigate the fully nonlinear model for convection in a Darcy porous material where the diffusion is of anomalous type as recently proposed by Barletta. The fully nonlinear model is analysed but we allow for variable gravity or penetrative conve... Read More about Asymptotic behaviour for convection with anomalous diffusion.

Thermal convection with a Cattaneo heat flux model (2024)
Journal Article
Gentile, M., & Straughan, B. (2024). Thermal convection with a Cattaneo heat flux model. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2282), Article 20230771. https://doi.org/10.1098/rspa.2023.0771

The problem of thermal convection in a layer of viscous incompressible fluid is analysed. The heat flux law is taken to be one of Cattaneo type. The time derivative of the heat flux is allowed to be a material derivative, or a general objective deriv... Read More about Thermal convection with a Cattaneo heat flux model.