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October 13, 20250 citationsOpen Access

Analyzing Transition Problems in Steady-State Motion of Rigid Bodies in Viscous Liquids

The transition problem between time-independent motions of a body in a viscous liquid

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Authors

GGGiovanni P. GaldiTHToshiaki Hishida

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Overview

This investigation reveals a unique solution for steady states in a viscous liquid, connecting translatory motions and arbitrary movements.

Key Points

  • A unique solution exists for the Navier-Stokes problem during transition from one steady state to another.
  • All involved velocities of the rigid body must remain sufficiently small to maintain uniqueness.
  • The study connects time-independent translatory motion to arbitrary rigid motion over a set timeframe.
  • Applications may include advancements in fluid dynamics and enhancing understanding of viscous motion.
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Cite This Study

Galdi et al. (2025) studied this question.

synapsesocial.com/papers/68ecc715d1cc7436f7d18af3https://doi.org/10.48550/arxiv.2503.00571
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