Search results

1 – 2 of 2
Per page
102050
Citations:
Loading...
Access Restricted. View access options
Article
Publication date: 29 April 2014

Sylwia Hożejowska, Robert Kaniowski and Mieczysùaw E. Poniewski

The purpose of this paper is to focus on the application of the Trefftz method to the calculation of the two-dimensional (2D) temperature field in the boiling refrigerant flow…

174

Abstract

Purpose

The purpose of this paper is to focus on the application of the Trefftz method to the calculation of the two-dimensional (2D) temperature field in the boiling refrigerant flow through an asymmetrically heated vertical minichannel with a rectangular cross-section. The considerations were limited to determining the temperature of the continuous phase – liquid for bubbly and bubbly-slug flow. The numerical solution found with the Trefftz methods was compared with the simplified solution. For nucleate boiling, heat transfer coefficient at the heating foil – liquid contact was determined.

Design/methodology/approach

The Trefftz method was used to determine 2D temperature distributions for the glass pane, the heating foil and the boiling liquid. The temperature fields were approximated by the sum of the particular solution and the linear combination of suitable Trefftz functions. Coefficients of linear combination were computed using experimental data, including heating foil temperature measurements obtained with the liquid-crystal method and experimentally determined void fraction. The computations were based on the Trefftz method supplemented with the adjustment calculus.

Findings

The way of solving direct and inverse problems of heat conduction in solid bodies (isolating glass, heating foil) and in liquids (boiling refrigerant flowing through the minichannel) was presented. For the first time, both 2D temperature fields for the heating foil and the boiling liquid were calculated while simultaneously using the Trefftz method. The known temperature values of the foil and liquid allowed the calculation of the heat transfer coefficient and the heat flux at the heating foil-liquid contact. Adjustment calculus implemented into the Trefftz method was used to smooth the measurement data and to reduce their errors.

Practical implications

The approach proposed in the paper can be applied to determining 2D temperature field, heat flux and heat transfer coefficient in direct and inverse problems concerning two-phase flowing miniature compact heat exchangers.

Originality/value

The paper presents a novel implementation of the Trefftz method to simultaneous solving an inverse problem in the heating foil and the contacting flowing liquid.

Details

International Journal of Numerical Methods for Heat & Fluid Flow, vol. 24 no. 4
Type: Research Article
ISSN: 0961-5539

Keywords

Access Restricted. View access options
Book part
Publication date: 25 July 2008

Elżbieta Hałas

Social theory contains contributions related to the processes of semiosis. Between the subjective experience of intentional meanings and objectivized structure of meanings there…

Abstract

Social theory contains contributions related to the processes of semiosis. Between the subjective experience of intentional meanings and objectivized structure of meanings there is a sphere of meaningful interactions and collective actions. Arguments are presented that it is possible to integrate symbolic interactionist orientation and Durkheimian tradition in the study of social symbolism in the perspective of collective action approach and pragmatism. That allows going beyond the cognitive limitations inherited from phenomenological view on symbolism as manifested in the concepts of P. Berger and T. Luckmann about the social construction of reality. A model for a multidimensional analysis of social symbolism and its functions is proposed.

Details

Studies in Symbolic Interaction
Type: Book
ISBN: 978-1-84663-931-9

1 – 2 of 2
Per page
102050