New asymptotic heat transfer model in thin liquid films

Abstract : In this article, we present a model of heat transfer occurring through a li\-quid film flowing down a vertical wall. This new model is formally derived using the method of asymptotic expansions by introducing appropriately chosen dimensionless variables. In our study the small parameter, known as the film parameter, is chosen as the ratio of the flow depth to the characteristic wavelength. A new Nusselt solution should be explained, taking into account the hydrodynamic free surface variations and the contributions of the higher order terms coming from temperature variation effects. Comparisons are made with numerical solutions of the full Fourier equations in a steady state frame. The flow and heat transfer are coupled through Marangoni and temperature dependent viscosity effects. Even if these effects have been considered separately before, here a fully coupled model is proposed. Another novelty consists in the asymptotic approach in contrast to the weighted residual approach which have been formerly applied to these problems.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01224182
Contributeur : Denys Dutykh <>
Soumis le : lundi 16 janvier 2017 - 13:05:41
Dernière modification le : dimanche 22 janvier 2017 - 01:01:57

Fichiers

MC_DD_MG_CRQ-HeatedFilms-2017....
Fichiers produits par l'(les) auteur(s)

Licence


Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale - Pas de modification 4.0 International License

Identifiants

  • HAL Id : hal-01224182, version 2
  • ARXIV : 1511.02242

Collections

Citation

Marx Chhay, Denys Dutykh, Marguerite Gisclon, Christian Ruyer-Quil. New asymptotic heat transfer model in thin liquid films. 28 pages, 6 figures, 39 references. Other author's papers can be downloaded at http://www.denys-d.. 2017. <hal-01224182v2>

Partager

Métriques

Consultations de
la notice

73

Téléchargements du document

17