Laminar Boundary Layer in the Entrance Region of a Circular Pipe

Abstract

Boundary layer in the entrance region of a circular pipe is calculated using the Karman-Pohlhausen method. Velocity distribution in the boundary layer is approximated by a quartic. The coefficients of the quartic are the function of the K, which is a function of the acceleration of the core flow. The momentum equation is integrated approximately, and the results are represented by the polynomials. The results are compared with the values which are calculated by other's theoretical solutions, and also with those from the Nikuradse's experiment.