All Outputs (4)

Sharp Instability Estimates for Bidisperse Convection with Local Thermal Non-equilibrium (2023)
Journal Article
Franchi, F., Nibbi, R., & Straughan, B. (2024). Sharp Instability Estimates for Bidisperse Convection with Local Thermal Non-equilibrium. Transport in Porous Media, 151(1), 193-211. https://doi.org/10.1007/s11242-023-02038-9

We analyse a theory for thermal convection in a Darcy porous material where the skeletal structure is one with macropores, but also cracks or fissures, giving rise to a series of micropores. This is thus thermal convection in a bidisperse, or double... Read More about Sharp Instability Estimates for Bidisperse Convection with Local Thermal Non-equilibrium.

Stabilization estimates for the Brinkman–Forchheimer–Kelvin–Voigt equation backward in time (2023)
Journal Article
Gentile, M., & Straughan, B. (2023). Stabilization estimates for the Brinkman–Forchheimer–Kelvin–Voigt equation backward in time. Acta Mechanica, 234(9), 4001-4009. https://doi.org/10.1007/s00707-023-03592-5

The final value value problem for the Brinkman–Forchheimer–Kelvin–Voigt equations is analysed for quadratic and cubic types of Forchheimer nonlinearity. The main term in the Forchheimer equations is allowed to be fully anisotropic. It is shown that t... Read More about Stabilization estimates for the Brinkman–Forchheimer–Kelvin–Voigt equation backward in time.

Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms (2023)
Journal Article
Straughan, B. (2023). Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms. Applied Mathematics and Optimization, 87(54), Article 54. https://doi.org/10.1007/s00245-023-09964-6

We present models for convection in a mixture of viscous fluids when the layer is heated from below and simultaneously the pointwise volume concentration of one of the fluids is heavier below. This configuration produces a problem of competitive doub... Read More about Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms.

Thermal convection in a higher-gradient Navier–Stokes fluid (2023)
Journal Article
Straughan, B. (2023). Thermal convection in a higher-gradient Navier–Stokes fluid. European Physical Journal Plus, 138(60), https://doi.org/10.1140/epjp/s13360-023-03658-2

We discuss models for flow in a class of generalized Navier–Stokes equations. The work concentrates on producing models for thermal convection, analysing these in detail, and deriving critical Rayleigh and wave numbers for the onset of convective flu... Read More about Thermal convection in a higher-gradient Navier–Stokes fluid.