Analytical solution for the potential flow through the wall of n-sided hollow cylinders of regular polygonal cross-section

The calculation of the potential flow through the wall of hollow cylinders of regular polygonal cross-section with the inner and the outer boundaries considered to be lines of different but constant potential is a classical p roblem in the field of non-viscous transport phenomena. The known empirical correlation's result from numerical and experimental investigations and ar e thus restricted to limited ranges of variables, while a more universal an alytic solution has not yet been published, as far as we know. In this pape r we do present such an analytical solution together with asymptotes and a simple approximation, that does not need higher mathematical functions, for easy application. (C) 1999 Elsevier Science Ltd. All rights reserved.