30. Scalloped Morphologies of Ablated Materials

  1. Edgar Lara-Curzio
  1. Gerard L. Vignoles1,
  2. Jean-Marc Goyhénèche1,
  3. Georges Duffa2,
  4. Anthony Velghe2,
  5. Ngoc Thanh-Hà Nguyen-Bui2,
  6. Bruno Dubroca3 and
  7. Yvan Aspa4

Published Online: 26 MAR 2008

DOI: 10.1002/9780470291221.ch30

Mechanical Properties and Performance of Engineering Ceramics and Composites: Ceramic Engineering and Science Proceedings, Volume 26, Number 2

Mechanical Properties and Performance of Engineering Ceramics and Composites: Ceramic Engineering and Science Proceedings, Volume 26, Number 2

How to Cite

Vignoles, G. L., Goyhénèche, J.-M., Duffa, G., Velghe, A., Nguyen-Bui, N. T.-H., Dubroca, B. and Aspa, Y. (2005) Scalloped Morphologies of Ablated Materials, in Mechanical Properties and Performance of Engineering Ceramics and Composites: Ceramic Engineering and Science Proceedings, Volume 26, Number 2 (ed E. Lara-Curzio), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470291221.ch30

Author Information

  1. 1

    Lab. des Composites Thermo Structuraux (LCTS), Université Bordeaux 1 - 3, Allée La Boëtie, F 33600 Pessac, France

  2. 2

    Commissariat à l'Energie Atomique (CEA) Centre d'Etudes Scientifiques et Techniques d'Aquitaine (CESTA), BP2, F 33114 Le Barp, France

  3. 3

    Mathématiques Appliquées de Bordeaux (MAB) Université Bordeaux 1 - 351 Cours de la Libération F 33405 Talence Cedex

  4. 4

    Institut de Mécanique des Fluides de Toulouse (IMFT), 1, Allée du Professeur Camille Soula, F 31000 Toulouse, France

Publication History

  1. Published Online: 26 MAR 2008
  2. Published Print: 1 JAN 2005

ISBN Information

Print ISBN: 9781574982329

Online ISBN: 9780470291221

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Keywords:

  • carbon/carbon conipositcs;
  • thermal protcction;
  • heat transfer;
  • carboii/plicriolic resin coiriposites;
  • weighted essentially non-oscillatory

Summary

In many cases, ceramic materials undergoing an ablative process (i. e. erosion, dissolution, sublimation, oxidation, etching) display a characteristic “scalloped” morphology. The length scales are not related to the ceramic microstructure, and cannot always be related to some flow pattern above the surface.

We propose a simple isothermal model, where diffusion perpendicularly to the average surface and mass loss are in competition. A Hamilton-Jacobi equation is set up, and a steady, non-trivial, analytical solution consists of intersecting circle arcs in 2D. The solution is found to be stable; the curvature radius is given by the diffusion-to-reaction ratio. A 3-dimensional isothermal simulation confirms the results and the validity of the vertical flux approximation.

Such a model could help to identify intrinsic mass-loss rate constants from morphology examination and the knowledge of gas diffusion coefficients.