Effect of rotation on the monotonic instability mode of advective flow in a horizontal incompressible fluid layer with rigid boundaries in the case of normal spiral perturbations

We study the monotonic instability mode of an advective flow in a rotating horizontal layer of incompressible fluid with rigid boundaries, which depend on the Prandtl number (Pr) and the Taylor number (Ta) in the case of spiral perturbations using a small perturbation method. In calculations, we apply the grid method to the one-dimensional problem. The system of equations and necessary parameters of the numerical solution are presented. The neutral curves of dependency the Grashof number on the wave number for different values of Ta and Pr are presented. Two hydrodynamic modes of instability are revealed. The effect of rotation on these modes is investigated in the range of 0 ≤ Ta ≤ 105 at Prandtl numbers in the range of 0