The absolute instability of boundary-layer flow over viscoelastic walls
The linear stability of boundary-layer flow over a viscoelastic-layer wall is considered. A companion matrix technique is used to formulate the stability problem as a linear matrix eigenvalue problem for complex frequency, and all the eigenvalues may be determined without any initial guess values. The eigenvalues are compared with those obtained with an accurate shooting method. The instability character of the boundary-layer flow is further investigated with the purpose of finding the conditions under which the instability of the flow could become absolute. The mapping technique is used to identify the occurrence of absolute instability eigenvalues.
scientific article; zbMATH DE number 1051325
scientific article