Characteristics of the Internal Fluid Flow Field Induced by an Oscillating Plate with the other Parallel Plate Stationary

Abstract

The analytical solution to the internal fluid flow induced by an oscillating plate with the other parallel plate stationary is derived and the results explored fully. The unsteady analytical solution is obtained by using Duhamel’s theorem.The result is analysed non-dimensionally with respect to variations in the gap, the time and the parameter w*. Results reveal that the wide variation in fluid flowis strongly depending on the dimensionless parameter w*. The present governing equationis modelled numerically with same conditions and at selected w*=1and w*=10, respectively, the numerical results are able to match with the analytical solution remarkably well.