Research Paper#Fluid Dynamics, Propulsion, Navier-Stokes Equations🔬 ResearchAnalyzed: Jan 3, 2026 09:24
Navier-Slip Propulsion of Rigid Bodies in Viscous Fluids
Published:Dec 30, 2025 23:15
•1 min read
•ArXiv
Analysis
This paper investigates the self-propelled motion of a rigid body in a viscous fluid, focusing on the impact of Navier-slip boundary conditions. It's significant because it models propulsion in microfluidic and rough-surface regimes, where traditional no-slip conditions are insufficient. The paper provides a mathematical framework for understanding how boundary effects generate propulsion, extending existing theory.
Key Takeaways
- •Models propulsion in microfluidic and rough-surface regimes.
- •Uses Navier-slip boundary conditions for more realistic modeling.
- •Establishes the existence of weak steady solutions.
- •Provides a condition for nontrivial translational or rotational motion.
- •Extends classical Dirichlet-based theory to the Navier-slip setting.
Reference
“The paper establishes the existence of weak steady solutions and provides a necessary and sufficient condition for nontrivial translational or rotational motion.”