Next Article in Journal
CFD and PIV Investigation of a Liquid Flow Maldistribution across a Tube Bundle in the Shell-and-Tube Heat Exchanger with Segmental Baffles
Next Article in Special Issue
Dynamics of Melting Process in Phase Change Material Windows Determined Based on Direct Light Transmission
Previous Article in Journal
Performance and Wake Characterization of a Model Hydrokinetic Turbine: The Reference Model 1 (RM1) Dual Rotor Tidal Energy Converter
 
 
Article

Identification of Phase Fraction–Temperature Curves from Heat Capacity Data for Numerical Modeling of Heat Transfer in Commercial Paraffin Waxes

AIT Austrian Institute of Technology GmbH, Giefingasse 2, 1210 Vienna, Austria
*
Author to whom correspondence should be addressed.
Energies 2020, 13(19), 5149; https://doi.org/10.3390/en13195149
Received: 7 September 2020 / Revised: 18 September 2020 / Accepted: 21 September 2020 / Published: 2 October 2020
(This article belongs to the Special Issue Phase Change Materials for Thermal Energy Storage Applications)
The area-proportional baseline method generates phase fraction–temperature curves from heat capacity data of phase change materials. The curves describe the continuous conversion from solid to liquid over an extended temperature range. They are consistent with the apparent heat capacity and enthalpy modeling approach for the numerical solution of heat transfer problems. However, the curves are non-smooth, discrete signals. They are affected by noise in the heat capacity data and should not be used as input to continuous simulation models. This contribution proposes an alternative method based on spline approximation for the generation of consistent and smooth phase fraction–temperature, apparent heat capacity–temperature and enthalpy–temperature curves. Applications are presented for two commercial paraffins from Rubitherm GmbH considering heat capacity data from Differential Scanning Calorimetry and 3-layer-calorimetry. Apparent heat capacity models are validated for melting experiments using a compact heat exchanger. The best fitting models and the most efficient numerical solutions are obtained for heat capacity data from 3-layer-calorimetry using the proposed spline approximation method. Because of these promising results, the method is applied to melting data of all 44 Rubitherm paraffins. The computer code of the corresponding phase transition models is provided in the Supplementary Information. View Full-Text
Keywords: solid–liquid phase transition; phase fraction–temperature curves; paraffin heat capacity data; numerical modeling; apparent heat capacity method solid–liquid phase transition; phase fraction–temperature curves; paraffin heat capacity data; numerical modeling; apparent heat capacity method
Show Figures

Graphical abstract

MDPI and ACS Style

Barz, T.; Krämer, J.; Emhofer, J. Identification of Phase Fraction–Temperature Curves from Heat Capacity Data for Numerical Modeling of Heat Transfer in Commercial Paraffin Waxes. Energies 2020, 13, 5149. https://doi.org/10.3390/en13195149

AMA Style

Barz T, Krämer J, Emhofer J. Identification of Phase Fraction–Temperature Curves from Heat Capacity Data for Numerical Modeling of Heat Transfer in Commercial Paraffin Waxes. Energies. 2020; 13(19):5149. https://doi.org/10.3390/en13195149

Chicago/Turabian Style

Barz, Tilman, Johannes Krämer, and Johann Emhofer. 2020. "Identification of Phase Fraction–Temperature Curves from Heat Capacity Data for Numerical Modeling of Heat Transfer in Commercial Paraffin Waxes" Energies 13, no. 19: 5149. https://doi.org/10.3390/en13195149

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop