Abstract
The boundary layer theory for general unsteady flows is further developed in the direction set by Liu and Orfila. Analytical solutions are derived using the Laplace transform based on different assumptions of the eddy viscosity. The solutions based on different eddy-viscosity models, which are expressed as convolutions of the free-stream velocity with different kernal functions, are compared with each other under representative flow conditions. A composite kernel function is constructed through discussions of temporal characteristics of kernel functions for laminar and turbulent flows. The proposed method is expected to be capable of evaluating the bottom friction under a wide range of flow unsteadiness in different flow regimes.
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