A problem of thermosolutal convection with reaction in an
anisotropic porous medium of Darcy type is investigated. The
Darcy model is employed as the momentum equation with the
density being a linear function in temperature and salt concentration.
Two cases are considered: heated below and salted above
system and heated and salted below system. We allow the permeability
and thermal diffusivity to be anisotropic tensors. Particularly,
we restrict consideration to horizontal isotropy in mechanical
and thermal properties of the porous medium. The energy
method is used to study the non-linear stability aspect of
the problem. The D2 Chebyshev Tau method is implemented to
solve the associated system of equations, with the corresponding
boundary conditions, and to obtain the non-linear stability
boundaries below which the solution of the system is globally
stable. The effect of the reaction rate, the mechanical anisotropy
parameter, and the thermal anisotropy parameter on the stability
of the system is discussed and presented graphically. We find
that the thermal anisotropy parameter has the opposite effect to
that of the mechanical anisotropy parameter on the stability of
the system.Papers presented to the 12th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Costa de Sol, Spain on 11-13 July 2016
