Analysis of rewetting of an infinite tube by numerical fourier inversion

Abstract

A semi—analytical model for the two—dimensional quasi—steady conduction equation, governing conduction controlled rewetting of an infinite tube, has been suggested. The solution yields the temperature field as a function of various input model parameters such as Peclet number, Biot number and radius ratio of the tube. Unlike earlier investigations, the present semi-analytical model predicts the temperature field for the entire domain of a tube, employing the Wiener—Hopf technique and by inverse discrete Fourier transform (IDFT) algorithm.