せまいすきまにおける放射状粘性流れに関する研究 : 第1報, 助走区間に対する理論解析

概要

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A theoretical analysis is presented for the inlet region of the laminar, redial flow in an arbitrarily shaped narrow gap between two axi-symmetrically formed walls. A series expansion method is used and the most general form of the exact solutions of the boundary layer equations is obtained. As an example, numerical calculations have been made for the flow in a radial diffuser formed by two parallel discs, by which the following important conclusions are confirmed. Separation of flow from the wall occurs, the separation point moving to downstream direction as the Reynolds number decreases. When the Reynolds number further decreases, reaching a value below a certain small finite value, separation does not occur. A result which is very important from the theoretical standpoint is that the separation point calculated in this study is not of a mathematical singularity. This is the first theoretical example verifying actually the existence of a non-singular separation, which has already been predicted by S. Goldstein, K. Stewartson and others
一般社団法人日本機械学会の論文
1964-11-25