FREE-STREAMLINES

Two classes of classical Free-Streamlines are computed efficiently, us ing series expansions in conjunction with the method of Frobenius. The first class are jet free-streamlines from a nozzle with straight wall s. The hodograph plane is mapped on a semidisk by an algebraic equatio n. The physical plane is obtained by a Schwarz-Christoffel-type integr al. The second class is the plane butterfly valve. Two Schwarz-Christo ffel-type integrals are necessary to obtain the how in the the physica l plane. Different regions of convergence are determined to cover the semidisk. The series expansions are computed with the aid of the convo lution number. Several solutions of potential flow are plotted. Contra ction coefficients of the symmetric jet in terms of nozzle angle, and for the butterfly valve in terms of closing angle, are given. (C) 1998 Elsevier Science Ltd. All rights reserved.