An Approximation to the Eigenvalues of a Linear Stability Problem for High Reynolds Number

The spectrum of a sixth order differential operator is examined asymptotically in the high Reynolds number limit. The eigenvalue problem investigated arises in the study of the fluid motion in a coning and rotating fluid filled cylinder. It is shown that the approximation procedure derived at high Reynolds numbers predicts very accurately the required eigenvalues. Keywords Boundary layer Liquid filled projectiles Differential equations Linear stability Reynolds number Rotating liquid WKB method.