TY - JOUR
AU - Hwang, G. J.
AB - The combined effects of axial conduction and solidification on heat transfer and pressure drop in pipe flows are investigated by the use of a modified Galerkin finite element method. To allow for the upstream heat conduction, the domain of study is extended from X = ‐∞ to X = ‐∞ as has been done in previous analyses. As a preliminary study on the effect of axial conduction, the present investigation assumes a superheat ratio that is sufficiently large (To > Tf or Tw ≈ Tf) such that solidification begins at a location near X = 0. For numerical convenience, the infinite domain ‐∞ ≤ X ≤ ∞ is transformed onto a finite domain ‐1 ≤ z ≤ 1. The energy equation for the liquid‐phase is then solved by a modified Galerkin finite element method. For better numerical stability, a procedure is proposed for controlling the numerical error that might propagate from the singular point (X, R) = (O, Ro). The profile of the solid‐liquid interface, the heat transfer rate and the pressure drop are presented for various values of Peclet number, Pe = 1, 3, 5, 10 and 30, and for the modified superheat ratio, c = 0.1, 0.5, 5.0, and ∞.
TI - Liquid solidification in low peclet number pipe flows
JF - The Canadian Journal of Chemical Engineering
DO - 10.1002/cjce.5450670407
DA - 1989-08-01
UR - https://www.deepdyve.com/lp/wiley/liquid-solidification-in-low-peclet-number-pipe-flows-GoEdeho8PR
SP - 569
EP - 577
VL - 67
IS - 4
DP - DeepDyve
ER -