[Analyse des caractéristiques vibratoires d’une nanoparticule thermoélastique immergée dans un fluide visqueux incompressible]
In this article, we develop an analytical approach to characterize the breathing mode vibration of a thermoelastic nanosphere submerged in an incompressible fluid. The inclusion of temperature is under the concept of heat wave and the energy equation is combined with elastic theory in the fluid-structure interaction method. The bi-harmonic function is derived from the coupling of the velocity and temperature fields by the coupled thermoelasticity theory. Whereas for an incompressible fluid, these two fields are decoupled. This leads to the convenience of separating thermal conduction and dynamic viscosity parts in the frequency equation. The validation of frequency equation is confirmed by comparing other literatures. The thermal damping and viscosity are represented by Péclet number and Reynolds number respectively. The effects of two parameters on the vibration of the system are analyzed with multiple plots. The analysis could be a useful interpretation of experimental observation and an applicable measurement for vibrational and rheological properties of solids and fluids.
Dans cet article, nous développons une approche analytique pour caractériser le mode radial de vibration d’une nanosphère thermoélastique immergée dans un fluide incompressible. L’inclusion de la température s’inscrit dans le concept des ondes thermiques, et l’équation d’énergie est combinée avec la théorie élastique dans le cadre de l’interaction fluide-structure. La fonction biharmonique est dérivée du couplage des champs de vitesse et de température par la théorie thermoélastique couplée. Cependant, pour un fluide incompressible, ces deux champs sont découplés. Cela permet de séparer commodément les parties de conduction thermique et de viscosité dynamique dans l’équation aux valeurs propres. La validation de cette équation est confirmée par comparaison avec d’autres travaux de la littérature. L’amortissement thermique et la viscosité sont représentés respectivement par le nombre de Péclet et le nombre de Reynolds. Les effets de ces deux nombres sur le comportement vibratoire du système couplé sont analysés à l’aide de plusieurs graphiques. Cette analyse pourrait constituer une interprétation utile des observations expérimentales et une méthode de mesure applicable pour les propriétés vibratoires et rhéologiques des solides et des fluides.
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Mots-clés : Vibration thermoélastique couplée, mode radial, approche analytique
Xin Huang 1 ; Adil El Baroudi 1 ; Amine Ammar 1
CC-BY 4.0
@article{CRMECA_2026__354_G1_141_0,
author = {Xin Huang and Adil El Baroudi and Amine Ammar},
title = {Vibrational characteristics analysis of a thermoelastic nanoparticle submerged in an incompressible viscous fluid},
journal = {Comptes Rendus. M\'ecanique},
pages = {141--152},
year = {2026},
publisher = {Acad\'emie des sciences, Paris},
volume = {354},
doi = {10.5802/crmeca.348},
language = {en},
}
TY - JOUR AU - Xin Huang AU - Adil El Baroudi AU - Amine Ammar TI - Vibrational characteristics analysis of a thermoelastic nanoparticle submerged in an incompressible viscous fluid JO - Comptes Rendus. Mécanique PY - 2026 SP - 141 EP - 152 VL - 354 PB - Académie des sciences, Paris DO - 10.5802/crmeca.348 LA - en ID - CRMECA_2026__354_G1_141_0 ER -
%0 Journal Article %A Xin Huang %A Adil El Baroudi %A Amine Ammar %T Vibrational characteristics analysis of a thermoelastic nanoparticle submerged in an incompressible viscous fluid %J Comptes Rendus. Mécanique %D 2026 %P 141-152 %V 354 %I Académie des sciences, Paris %R 10.5802/crmeca.348 %G en %F CRMECA_2026__354_G1_141_0
Xin Huang; Adil El Baroudi; Amine Ammar. Vibrational characteristics analysis of a thermoelastic nanoparticle submerged in an incompressible viscous fluid. Comptes Rendus. Mécanique, Volume 354 (2026), pp. 141-152. doi: 10.5802/crmeca.348
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