SMALL STANTON NUMBER AXISYMMETRICAL FREEZING AROUND A COOLANT-CARRYING TUBE

被引：5

作者：

CHARACH, C

KEIZMAN, Y

SOKOLOV, M

机构：

[1] CEEP, J.Blaustein Institute for Desert Research, Ben Gurion University of the Negev, 84993, Sede-Boqer Campus

[2] Department of Physics, Ben Gurion University of the Negev, Beer-Sheva

[3] Department of Fluid Mechanics and Heat Transfer, Faculty of Engineering, Tel-Aviv University, Ramat Aviv

来源：

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER | 1991年 / 18卷 / 05期

关键词：

D O I：

10.1016/0735-1933(91)90077-H

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Small Stanton numbers, two-dimensional, conduction-controlled axisymmetric solidification of a medium surrounding a cylindrical coolant-carrying tube - is considered. This regime of Stanton numbers is typical of most practical applications. There, the axial variation of the temperature field is very weak - a fact which is used to develop an approximate analytical methods by which the variables of such process are evaluated. This weak axial variation also facilitates a significant simplification in numerical algorithms. In those algorithms the full two-dimensional problem is reduced to a single (radial) dimension one which is then superpositioned in an longitudinal tandem to obtain axial information. Thereby the numerical grid and the computational resources are substantially reduced compared with the fully two-dimensional numerical schemes. The results of such a simplified approach are in excellent agreement with the published fully two-dimensional solutions.

引用

页码：639 / 657

页数：19

共 23 条

[1]

Shamsundar, Sparrow, Storage of thermal energy by solid-liquid phase-change temperature drop and heat flux, J. Heat Transfer, 96, (1974)

[2]

Sexena, Subrahmaniyam, Sarkar, A preliminary model for phase change energy storage in shell and tube heat exchangers, Solar Energy, 28, (1982)

[3]

Carslaw, Jaeger, Conduction of Heat in Solids, (1959)

[4]

Rubinstein, The Stefan Problem, AMS Translations of Math. Monographs 27, (1971)

[5]

Ozisik, Heat Conduction, (1980)

[6]

Weinbaum, Jiji, Perturbation solutions for melting or freezing in annular regions initially not at the freezing temperature, International Journal of Heat and Mass Transfer, 21, (1978)

[7]

Dewynne, Hill, On an integral formulation of the moving boundary problems, Q. Appl. Math., 42 N, (1984)

[8]

Charach, Kahn, Transient phase-change heat transfer in finite bodies: Universal Bounds for the solidification (melting) time, J. Appl. Physics, 59, (1986)

[9]

Charach, Kahn, Solidification in finite bodies with prescribed heat flux: bounds for freezing time and removed energy, Int. J. Heat Mass Transfer, 30, (1987)

[10]

Yao, Prusa, Melting and Freezing, Advances in Heat Transfer, 19 N, (1989)

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