Approximate Analytical Solution for One-Dimensional Solidification Problem of a Finite Superheating Phase Change Material Including the Effects of Wall and Thermal Contact Resistances

المؤلفون المشاركون

El Qarnia, Hamid
El Adnani, Fayssal
Lakhal, El Khadir

المصدر

Journal of Applied Mathematics

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-20، 20ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-11-14

دولة النشر

مصر

عدد الصفحات

20

التخصصات الرئيسية

الرياضيات

الملخص EN

This work reports an analytical solution for the solidification of a superheating phase change material (PCM) contained in a rectangular enclosure with a finite height.

The analytical solution has been obtained by solving nondimensional energy equations by using the perturbation method for a small perturbation parameter: the Stefan number, ε.

This analytical solution, which takes into account the effects of the superheating of PCM, finite height of the enclosure, thickness of the wall, and wall-solid shell interfacial thermal resistances, was expressed in terms of nondimensional temperature distributions of the bottom wall of the enclosure and both PCM phases, and the dimensionless solid-liquid interface position and its dimensionless speed.

The developed solution was firstly compared with that existing in the literature for the case of nonsuperheating PCM.

The predicted results agreed well with those published in the literature.

Next, a parametric study was carried out in order to study the impacts of the dimensionless control parameters on the dimensionless temperature distributions of the wall, the solid shell, and liquid phase of the PCM, as well as the solid-liquid interface position and its dimensionless speed.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

El Qarnia, Hamid& El Adnani, Fayssal& Lakhal, El Khadir. 2012. Approximate Analytical Solution for One-Dimensional Solidification Problem of a Finite Superheating Phase Change Material Including the Effects of Wall and Thermal Contact Resistances. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993005

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

El Qarnia, Hamid…[et al.]. Approximate Analytical Solution for One-Dimensional Solidification Problem of a Finite Superheating Phase Change Material Including the Effects of Wall and Thermal Contact Resistances. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-993005

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

El Qarnia, Hamid& El Adnani, Fayssal& Lakhal, El Khadir. Approximate Analytical Solution for One-Dimensional Solidification Problem of a Finite Superheating Phase Change Material Including the Effects of Wall and Thermal Contact Resistances. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993005

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-993005