On Semi-Similar Solutions of the Unsteady Quasi-Two-Dimensional Incompressible Laminar Boundary-Layer Equations
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概要
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The unsteady boundary layer whose velocity profile depends on two independent variables only is called 'semi-similar'. The conditions for the semi-similar boundary layer are obtained. The simplest ones are the time-dependent or the space-dependent semi-similar boundary layers, such that one of the independent variables is the time t or the distance x parallel to the main flow, respectively. It is found that the former can take place only for the main flow velocity T(t){ax+Y(y)}, and the latter for X(x)/{Y(y)-t}, where a is a constant, and X, Y and T are arbitrary functions, y being the coordinate perpendicular to the main flow and parallel to the wall. Non-similar boundary layers occuring in the two-dimensional or axisymmetric stagnation flows are time-dependent semi-similar. Detailed numerical calculations are made for the stagnation boundary layers impulsively starting from rest with constant speed.
- 社団法人日本物理学会の論文
- 1962-01-05
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関連論文
- On the Approximate Solution of the Unsteady Quasi-Two-Dimensional Incompressible Laminar Boundary-Layer Equations
- On Semi-Similar Solutions of the Unsteady Quasi-Two-Dimensional Incompressible Laminar Boundary-Layer Equations