Abstract: | Formulas are derived permitting calculation of the linear corrections to the friction and heat-transfer coefficients with the blowing into the boundary layer of different gases, in small amounts but with a mass flow rate varying arbitrarily along the body. The case of a Mach number equal to zero and a temperature factor equal to unity was studied. Here it is postulated that bringing the relative heat-transfer coefficient down to a dependence on the dimensionless blowing renders possible, as with blowing which permits a self-similar solution, the use of the results obtained for arbitrary values of these parameters [1]. The proposed method of solution is based on the application, in the linear approximation, of a Duhamel integral for an arbitrary law of change in the mass flow rate along the body, if a solution is known with a discontinuous change in the mass flow rate. For a discontinuous change in the mass flow rate, the solution is sought using a Laplace transform; in this sense, the proposed method is similar to the method of [5].Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 55–63, July–August, 1970. |