すきま幅が変動し中心部からの吹出しを有する平行二円板間の非定常粘性流れ : 吹出し流量の時間変化が与えられる場合

概要

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A theoretical analysis is presented for the unsteady laminar flow of an incompressible fluid between parallel disks with a time-varying gap width and a central fluid source. The gap width h and the flow rate q of the source are both varied arbitrarily with time and independently of each other. New series solutions to the Navier-Stokes equations are obtained, on the basis of an original asymptotic expansion in the radial direction and a new theory of "multifold series expansion" in the time variable. The solutions can describe precisely the complicated nonlinear interaction between the two coexisting flows. Experiments were carried out for the case where h and q are changed sinusoidally with a variety of mean values, amplitudes and phase differences. It has been confirmed that the present solutions agree very well with the experiments, over a wide range of the flow conditions and the variations of h(t) and q(t).
一般社団法人日本機械学会の論文
1989-09-25