Work

Theoretical modelling for bubble dynamics with migration effects under dynamic Reynolds numbers

Year: 2026

Type: article

Abstract: Bubble dynamics constitutes a fundamental scientific problem in fluid mechanics. Although the oscillation can be predicted through theories for bubble dynamics in previous studies, the viscous effects on the bubble migration remains difficult to predict accurately. In this study, we establish a theoretical model for bubble migration across the entire cycle. The theoretical model derives a drag coefficient expression under dynamic Reynolds numbers, and incorporates corrections to account for non-spherical bubble dynamics. A key advance is the capability to account for viscous drag without relying on constant empirical drag coefficients. Validation against experimental results demonstrates that the theoretical model effectively predicts the bubble migration. Furthermore, we discuss the correlation between drag coefficient and Reynolds number, and elucidate the effects of viscous domain range and bubble deformation on the drag coefficient of the present model.

Source: Journal of Fluid Mechanics

DOI: 10.1017/jfm.2026.11252

Authors: Run-Ze Xu, A-Man Zhang, Shi-Min Li, Shi-Ping Wang

Institution: Harbin Engineering University

Language: English

Topic: Fluid Dynamics and Heat Transfer

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: National Natural Science Foundation of China, Harbin Engineering University