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Mathematical modelling of nanoscale heat flow and phase change

Total Cost €


EC-Contrib. €






Project "NanoHeat" data sheet

The following table provides information about the project.

Consorci Centre de Recerca Matematica 

Organization address
postcode: 8193

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Spain [ES]
 Project website
 Total cost 158˙121 €
 EC max contribution 158˙121 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2015
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2016
 Duration (year-month-day) from 2016-09-12   to  2018-09-11


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    Consorci Centre de Recerca Matematica ES (BELLATERRA) coordinator 158˙121.00


 Project objective

The nanoparticle (NP) lies at the very heart of nanotechnology. The wide range of current and potential uses of NPs, which include medicine, manufacturing, environment, and energy, has stimulated an international research effort focusing on NP synthesis and design. Despite extensive research into NPs, many breakthroughs and advances are the result of trial and error, since the mathematical framework which could provide a theoretical understanding often does not exist. This is partly because classical theories of heat transfer and phase change, which are relevant to the design and use of NPs, breakdown on the nanoscale.

The focus of the proposed research is, therefore, to develop and analyse novel mathematical models describing nanoscale heat transfer and phase change. Exact, approximate, and numerical solutions will be obtained in order to gain practical insights into NP evolution. To ensure the models and results are realistic and of use to nanoscience researchers, the work will be carried out in collaboration with members of the Inorganic Nanoparticles Group of the Catalan Institute for Nanoscience and Nanotechnology, and the Statistical Physics Group at the Autonomous University of Barcelona. The project, which is truly multi-disciplinary, will bridge the gap between mathematics and nanotechnology.


year authors and title journal last update
List of publications.
2018 Matthew G. Hennessy, Marc Calvo Schwarzwälder, Timothy G. Myers
Asymptotic analysis of the Guyer-Krumhansl-Stefan model for nanoscale solidification
published pages: , ISSN: 0307-904X, DOI: 10.1016/j.apm.2018.03.026
Applied Mathematical Modelling 2019-06-13
2018 M. Calvo-Schwarzwälder, M.G. Hennessy, P. Torres, T.G. Myers, F.X. Alvarez
A slip-based model for the size-dependent effective thermal conductivity of nanowires
published pages: 57-63, ISSN: 0735-1933, DOI: 10.1016/j.icheatmasstransfer.2017.11.013
International Communications in Heat and Mass Transfer 91 2019-06-13
2018 M. Calvo-Schwarzwälder, M.G. Hennessy, P. Torres, T.G. Myers, F.X. Alvarez
Effective thermal conductivity of rectangular nanowires based on phonon hydrodynamics
published pages: 1120-1128, ISSN: 0017-9310, DOI: 10.1016/j.ijheatmasstransfer.2018.05.096
International Journal of Heat and Mass Transfer 126 2019-06-13
2019 Matthew G. Hennessy, Marc Calvo-Schwarzwälder, Timothy G. Myers
Modelling ultra-fast nanoparticle melting with the Maxwell–Cattaneo equation
published pages: 201-222, ISSN: 0307-904X, DOI: 10.1016/j.apm.2018.12.004
Applied Mathematical Modelling 69 2019-03-20
2019 Matthew G. Hennessy, Iain R. Moyles, Stuart J. Thomson
Elastic suppression of boiling in network fluids: A mechanism for hard-to-boil massecuite
published pages: 188-198, ISSN: 1290-0729, DOI: 10.1016/j.ijthermalsci.2018.10.030
International Journal of Thermal Sciences 137 2019-03-20

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The information about "NANOHEAT" are provided by the European Opendata Portal: CORDIS opendata.

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