Interfacial Behavior of a Compound Viscous Droplet in a Bounded Micropolar Medium
- 1Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Abstract
This study examines the translational motion of a compound droplet consisting of concentric viscous fluid layers as it moves through a bounded micropolar fluid under the influence of interfacial phenomena. The inner core and surrounding shell form a symmetric two-interface configuration, analyzed in the low-Reynolds-number regime. The governing equations are solved analytically, incorporating interfacial boundary conditions that enforce continuity of flow flux and hydrodynamic stresses across both droplet surfaces. The expressions are obtained for the velocity field, vorticity, and microrotation, expressed in terms of shell thickness, micropolarity parameters, spin characteristics, and the effective viscosity ratio. The resulting hydrodynamic force behavior is shown to be highly sensitive to these parameters. Overall, this work establishes a theoretical framework for axisymmetric motion of core–shell droplets and offers valuable insights for the design of tunable microcapsules, advanced drug-delivery vehicles, and biomimetic encapsulated systems in microfluidic applications.
Related
- Global Well-Posedness and Large Time Asymptotic Behavior of Strong Solutions to the Compressible Viscous Non-Resistive MHD Equations with Vacuum
- Global smooth behavior in Kuznetsov and Westervelt type viscous wave equations: A unifying approach covering W1,q-small initial data
- Dynamics of weak solutions for two-dimensional micropolar equations with nonlinear damping
- Global Strong Solutions to the One-Dimensional Planar Compressible Magneto-Micropolar Equations with Vacuum
- Global existence of large strong solutions to the 3D compressible micropolar equations with density-dependent viscosities
BibTeX
@article{elsapa2026interfacial,
title = {{Interfacial Behavior of a Compound Viscous Droplet in a Bounded Micropolar Medium}},
author = {Shreen El-Sapa},
journal = {Mathematics},
year = {2026},
month = oct,
doi = {10.3390/math14213951},
url = {https://www.mdpi.com/2227-7390/14/21/3951},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Interfacial Behavior of a Compound Viscous Droplet in a Bounded Micropolar Medium
AU - Shreen El-Sapa
PY - 2026
DA - 2026/10/29
JO - Mathematics
DO - 10.3390/math14213951
UR - https://www.mdpi.com/2227-7390/14/21/3951
AB - This study examines the translational motion of a compound droplet consisting of concentric viscous fluid layers as it moves through a bounded micropolar fluid under the influence of interfacial phenomena. The inner core and surrounding shell form a symmetric two-interface configuration, analyzed in the low-Reynolds-number regime. The governing equations are solved analytically, incorporating interfacial boundary conditions that enforce continuity of flow flux and hydrodynamic stresses across both droplet surfaces. The expressions are obtained for the velocity field, vorticity, and microrotation, expressed in terms of shell thickness, micropolarity parameters, spin characteristics, and the effective viscosity ratio. The resulting hydrodynamic force behavior is shown to be highly sensitive to these parameters. Overall, this work establishes a theoretical framework for axisymmetric motion of core–shell droplets and offers valuable insights for the design of tunable microcapsules, advanced drug-delivery vehicles, and biomimetic encapsulated systems in microfluidic applications.
SN - 2227-7390
ER -