LXXXV. Solutions of the boundary-layer equations
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Summary 30. A particular solution of the boundary-layer equations is given for the case where the tangential velocity at the outer limit of the boundary layer is proportional to a power of the distance measured along the boundary from the stagnation point, and the results are presented graphically for a range of values of the index. Iris shown that Blasius' solution for a flat plate is a particular case of this solution. By a consideration of the necessary agreement between the solutioa of the equations of potential flow and that of the boundary-layer equations as the distance along the boundary from the stagnation point is decreased indefinitely, it is shown that the solution of the boundary-layer equations reduces to the particular solution described as the stagnation point is approached. This particular solution is used as a basis for two approximations of varying complexity to the solution in the general case; the second of these gives the correct value of the surface friction. These solutions are giv...
[1] A. Berry,et al. Two-dimensional solutions of Poisson's and Laplace's equations , 1919 .