境界層理論における曲率の影響

概要

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The flow in the boundary layer has been regarded by many investigators to be independent of the curvature of the wall along which it grows. This is true for high Reynolds'numbers, but the influence of curvature cannot be neglected for comparatively small Reynolds'numbers. To find the influence of curvature, the equations of motion expressed in curvilinear coordinates were solved more accurately than the usual boundary layer theory, and the tables were given to determine the pressure and velocity in the boundary layer to the order of 1/√<R_e>. As examples, the flow around a circular cylinder was calculated for three cases. The influence of the curvature is small for R_e=1・85×10^4,but cannot be neglected for R_e=2・56×10^3 and 3・6×10^2. In this way, by taking into account the influence of curvature, we can apply the boundary layer theory to the case of the Reynolds'numbers lower than the usual.
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