Summary
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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Ackroyd, J.A.D. On the steady flow produced by a rotating disc with either surface suction or injection. J Eng Math 12, 207–220 (1978). https://doi.org/10.1007/BF00036459
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DOI: https://doi.org/10.1007/BF00036459