Abstract: In 1969, Leu and Fung considered the inlet flow into a semi-infinite circular cylinder at low Reynolds number. Dagan et al[2] in 1982 obtained a series Solution for the creeping motion through a pore of finite length directly. The numerical results obtained in [1] also describe the entrance flow in a tube of a finite, length as the Fourier integrals in the general solutions are replaced by Fourier series. In the present paper, the Fourier integralss are evaluated numerically and the velocity, pressure distribution and the stream function in the entry region of a somi infinite circular cylindrical tube is close to the factor 1.3 suggested by Lew and Fung[1].The collocation technique applied in the present paper is shown to converge rapidly and it should be useful in other similar problems.

Key words: pipeline flow, thermal transient, hydraulic transient, method of characteristics