Abstract
The stability of a free boundary layer between two uniform streams is investigated at large Reynolds numbers. The amplification rate of the disturbances is calculated for all ranges of the wave-number. The critical wave-number does not change appreciably at Reynolds numbers larger than 10 3 , and the damping disturbance still exists in the limit of infinite Reynolds number or vanishing viscosity. The amplitude function of the disturbance is also calculated for various values of the wave-number at infinite Reynolds number. The function has Hermitian symmetry and becomes more concentrated to the origin as the wave-number increases.
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