A series solution is presented for the steady, laminar flow produced by a rotating disc. The series consists solely of exponential terms with negative exponents. It is shown that this approach yields uniformly valid solutions of high accuracy for all cases of suction and for low values of injection at the disc surface. The radius of convergence of the series is determined. For those injection cases for which the direct series method fails, an integral method is presented which is based on the properties of the series. The latter method consists of obtaining differential equations which represent the behaviour of the sums of the series. This method allows the solution of the governing differential equations as an initial value problem.

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SummaryThe growth of the laminar compressible boundary layer on a moving flat wall is considered analytically for the case of zero velocity in the free stream outside the boundary layer. The results of this analysis are compared with other published results for the cases in which the free stream has some finite velocity. In all the cases considered in the present paper, the boundary layer is taken to originate at some stationary point on the moving wall. This type of boundary-layer flow occurs behind moving shock waves and it is argued that the case of particular interest in the present paper, that of the stationary gas outside the boundary layer, provides bounding values of such parameters as displacement and momentum thicknesses for shock-induced laminar boundary-layer flows.

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