Abstract: For the stability problem of homogeneous shear flows in sea straits of arbitrary cross section, a sufficient condition for stability is derived under the condition of inviscid flow. It is shown that there is a critical wave number, and if the wave number of a normal mode is greater than this critical wave number, the mode is stable.

Key words: wave propagation, thermoelasticity, isotropic material, rotating cylinder, Lam? potential, thermal stress, hydrodynamic stability, shear flow, variable bottom, sea strait