2D dendritic thermal growth pulsations: diffusion field associated with the transport of heat for application in organic-based systems
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Séverine A. E. Boyer
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Alain Burr
Abstract
The crystallization of organic-based materials occurs under conditions far from equilibrium, leading to patterns that grow as propagating waves into the surrounding unstable fluid medium. This problem was reformulated considering the concept of thermal forces of preexisting 2D patterns. A new finite difference numerical scheme was tested. Dendritic islands were distributed in the liquid-viscous fluid. It induced a heterogeneous thermal distribution nearby the dendritic islands. The evolution of the isoline of the temperature versus time reveals fractal patterns within the inter-dendritic liquid. The physical origin of the fluctuations is guided by the proximity of the dendrites, i.e. lack of space. Moreover, the gradient of temperature is depicted by isocline pictures. Fractal patterns may be considered advantageous and be taken as a key point to the next step, i.e. the crystal growth in an environment subjected to rapid variations of temperature.
Acknowledgments
The authors are pleased to acknowledge CNRS and mines paris PSL.
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Research ethics: Not applicable.
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Informed consent: Informed consent was obtained from all individuals included in this study, or their legal guardians or wards.
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Author contributions: Séverine A.E. Boyer: Conceptualization, Formal analysis, Methodology, Calculation, Visualization, Resources, Writing – original draft, Writing – Review & Editing. Alain Burr: Conceptualization, Formal analysis, Methodology, Calculation, Visualization, Resources, Writing – Original draft, Writing – Review & Editing.
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Use of Large Language Models, AI and Machine Learning Tools: LLM-AI-MLT not used.
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Conflict of interests: The authors state no conflict of interest.
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Research funding: None declared.
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Data availability: Not applicable.
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Artikel in diesem Heft
- Frontmatter
- Review Article
- Epoxy vitrimers: from essence to utility
- Research Articles
- Tamarind seed powder as filler in polypropylene and its impact on the mechanical and biodegradability of the composites
- Development and characterization of glass fiber composites impregnated with limestone powder and bagasse fiber
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- Temperature field study and numerical computation of carbon fiber epoxy composite materials under unilateral thermal radiation
- 2D dendritic thermal growth pulsations: diffusion field associated with the transport of heat for application in organic-based systems
- Influence of different surface textures on wettability of UHMWPE and POM- an experimental study
- Use of machine learning methods for modelling mechanical parameters of PLA and PLA/native potato starch compound using aging data
- Influence of the viscosity of polymer melts on the coextrusion process based on wall slip conditions
