The Galerkin method applied to convective instability problems

摘要: The Galerkin method is applied in a new way to problems of stationary and oscillatory convective instability. By retaining the time derivatives equations rather than assuming an exponential time-dependence, exact solution approximated by set ordinary differential time. Computations are simplified because stability this can be determined without finding detailed solution. Furthermore, both instability studied means same trial functions. Previous studies which have treated only now extended easily include illustrated for rotating fluid layer transferring heat.