THE CREEPING MOTION IN THE ENTRY REGION OF A SEMI-INFINITE CIRCULAR CYLINDRICAL TUBE

In 1969,Lew and Fung[1]considered the inlet flow into a se-mi-infinite circular cylinder at low Reynolds number.Dagan etal.[2]in1982 obtained a series solution for the creeping motionthrough a pore of finite length directly.The numerical resultsobtained in[1]also describe the entrance flow in a tube of afinite length as the Fourier integrals in the general solutions arereplaced by Fourier series.In the present paper,the Fourier in-tegralss are evaluated numerically and the velocity,pressure dis-tribution and the stream function in the entry region of a semi-infinite circular cylindrical tube is close to the factor1.3 sug-gested by Lew and Fung[1].The collocation technique applied inthe present paper is shown to converge rapidly and it should beuseful in other similar problems.

THE CREEPING MOTION IN THE ENTRY REGION OF A SEMI-INFINITE CIRCULAR CYLINDRICAL TUBE

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.