The Free Surface on a Simple Fluid between Cylinders Undergoing Torsional Oscillations. Part I. Theory. Part II. Experiments.

摘要

In a recent work ideas from the theory of domain perturbations were used to develop an algorithm for the computation of unsteady motions of a simple fluid. In this algorithm, the rest state is perturbed with an unsteady motion. The solution is expressed in powers of the amplitude epsilon of the unsteady data; the stress is expanded into a Frechet series; the Frechet stresses are represented as multiple integrals and the multiple integrals are reduced to canonical form appropriate for the solution of practical problems of rheological fluid mechanics.