Analytical solution of Graetz problem in pipe flow with periodic inlet temperature variation

被引：11

作者：

Cossali, G. E. ^{[1
]}

机构：

[1] Univ Bergamo, Fac Ingn, I-24044 Dalmine, BG, Italy

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2009年 / 52卷 / 13-14期

关键词：

Graetz problem; Periodic heat transfer; Poiseuille flow; Complex eigenvalues; Kummer functions; TRANSIENT FORCED-CONVECTION; EQUATION; DUCTS;

D O I：

10.1016/j.ijheatmasstransfer.2009.02.028

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The paper reports an analytical solution for the temperature field in a fully developed pipe flow subject to periodic (of any shape) inlet temperature variation. The solution is given in term of a series of Kummer functions for the cases of uniform and constant wall temperature and wall heat flux, thus comprising also the adiabatic wall case. A "fully developed" region for the fluctuating component of the fluid temperature is also evidenced and closed-form solutions are given. An interpretation of the temperature field as super-position of travelling thermal waves is presented and discussed. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3396 / 3401

页数：6

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