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A Perturbation Analysis of Transient Freezing of a Laminar Liquid Flow in a Cooled Two-Dimensional Channel

Weigand, B. ; Höhn, W. ; Beer, Hans (1993)
A Perturbation Analysis of Transient Freezing of a Laminar Liquid Flow in a Cooled Two-Dimensional Channel.
In: Journal of Heat Transfer, 115 (2)
Article, Bibliographie

Abstract

The paper shows the applicability of a regular perturbation method for predicting the transient development of the ice layer thickness inside a cooled planar channel subjected to laminar flow. Applying the perturbation expansion to the conservation equations, closed-form solutions for the velocity and temperature distributions in the fluid for an arbitrarily shaped channel could be derived under the assumption that the axial variation in solid layer thickness is small. The distributions obtained for the steady-state ice layer thickness and the velocity were checked by numerical calculations and compared with the measurements of Kikuchi et al. (1986) and a generally good agreement was found. 15 refs., 10 figs.

Item Type: Article
Erschienen: 1993
Creators: Weigand, B. ; Höhn, W. ; Beer, Hans
Type of entry: Bibliographie
Title: A Perturbation Analysis of Transient Freezing of a Laminar Liquid Flow in a Cooled Two-Dimensional Channel
Language: English
Date: 1993
Journal or Publication Title: Journal of Heat Transfer
Volume of the journal: 115
Issue Number: 2
URL / URN: http://dx.doi.org/10.1115/1.2910679
Abstract:

The paper shows the applicability of a regular perturbation method for predicting the transient development of the ice layer thickness inside a cooled planar channel subjected to laminar flow. Applying the perturbation expansion to the conservation equations, closed-form solutions for the velocity and temperature distributions in the fluid for an arbitrarily shaped channel could be derived under the assumption that the axial variation in solid layer thickness is small. The distributions obtained for the steady-state ice layer thickness and the velocity were checked by numerical calculations and compared with the measurements of Kikuchi et al. (1986) and a generally good agreement was found. 15 refs., 10 figs.

Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Institute for Technical Thermodynamics (TTD)
Date Deposited: 26 Feb 2015 16:51
Last Modified: 05 Aug 2019 13:10
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