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<< ) using a small perturbation method. In calculations, we apply the grid method for the one-dimensional problem and the differential sweep method. The system of equations and the necessary parameters of the numerical solution are presented for both methods. Neutral curves describing the dependence of the critical Grashof number on the wave number are obtained and their behavior at different Pr values is analyzed. The relationship between the critical Grashof number and corresponding wave number and the Prandtl number is given. It is shown that when the Pr value increases from 0 to 0.3 the flow stability decreases and when it lies within the interval 0.3 – 0.93 the flow stability increases. For the monotonic instability mode Gr 40839.42 c = , the critical Grashof number reaches its lowest value at Pr 0.3 = . The boundary of monotonic instability mode at large Taylor

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Numerical study of the fast rotation effect on the stability of advective flow in a horizontal fluid layer with rigid boundaries at small Prandtl numbers