In this article, we study the linear instability and the nonlinear stability (through energy
functional) analyses of thermal convection in an inclined Darcy–Brinkman porous layer …

The present study is devoted to the problem of oscillatory convective flow in the presence of
viscous dissipation around different positions of a sphere. The system of differential …

The onset of magnetoconvection in an inclined porous layer is investigated. The effects of
physical parameters, such as the Rayleigh number, the inclination angle, and the Hartmann …

ABSTRACT A new approach for solving nonlinear integro-differential equations in
conductive-radiative heat transfer has been developed. The method relies on eigenfunctions …

The present study investigates the impact of a magnetic field on double‐diffusive convection
in an inclined porous layer, employing linear instability theory. The perturbed state is solved …

The linear stability analysis of a fluid saturated porous layer is carried out. The porous layer
is inclined to the horizontal and is infinitely wide. One boundary of the layer is permeable …

The generalized integral transform technique (GITT) is reviewed as a computational–
analytical methodology in linear and nonlinear convection–diffusion problems, based on …

The combined forced and free convection flow in a horizontal porous channel saturated by a
fluid is studied. The boundary walls are considered as uniformly heated-cooled with …

The film condensation heat transfer problem in the presence of a heavy non-condensable
gas is revisited. To provide an accurate and robust hybrid numerical-analytical treatment, a …

The emerging instability of a forced throughflow in a fluid saturated horizontal porous duct of
rectangular cross section is investigated. The duct is heated from below by assuming the …