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Unraveling Turbulent Heat Transport: Boundary Layers, Scalar Scaling, and the Ultimate Convection Debate
Abstract: Scalar Turbulence and Heat Transport Scaling in High-Rayleigh Number Convection This structured literature review synthesizes the theoretical and experimental foundations concerning scalar turbulence and heat transport scaling in high-Rayleigh number (Ra) Rayleigh–Bénard convection (RBC), focusing on the critical role of thermal boundary layers (TBLs). The primary objective is to critically assess the evolution, central…
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Rotational Dynamics and Vorticity Across Scales: A Unified Literature Review of Fluid Helicity, Cosmic Structures, and Optical Angular Momentum (OAM)
Abstract This structured literature review synthesizes the concepts of rotational dynamics and vortical structures across three traditionally distinct physical domains: classical fluid mechanics, relativistic cosmology, and quantum optics. The review establishes a unifying Gradient Principle, whereby the core dynamic effects in all systems—from fluid flow to structured light—are governed by the spatial gradients of their…
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Rayleigh-Bénard and Beyond: A Comprehensive Multiscale Review of Convection Cell Dynamics in Natural and Engineered Systems
Summary: Convection Cells – From Fundamental Physics to Global Systems This literature review provides a comprehensive, cross-disciplinary synthesis of dynamics, establishing thermal convection as a foundational mechanism governing heat and mass transport across scientific domains—from planetary interiors to sub-millimeter engineered flows. Core Theoretical Evolution and Debate The field is fundamentally rooted in the model, defined…
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Artificial Intelligence in Fluid Dynamics: A Literature Review of Applications, Challenges, and Future Directions
Summary Decoding Fluid Dynamics: How AI is Redefining Computational Science The study of fluid dynamics (FD) is undergoing a profound transformation, moving from traditional Computational Fluid Dynamics (CFD) to a new paradigm powered by Artificial Intelligence (AI) and Machine Learning (ML). This shift is not merely an optimization of existing methods but a fundamental change…
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Meet The New Family of Blow-Ups Discovered By Google DeepMind
For centuries, mathematicians and physicists have used equations like the Euler and Navier-Stokes equations to describe how fluids move. A big mystery is whether these equations can predict that a smooth, well-behaved flow will suddenly develop a “singularity”—a point where things like velocity become infinite in a finite amount of time. Most previous research has…
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The Navier–Stokes Millennium Problem: An Examination of Existence, Smoothness, and the Fundamental Questions of Fluid Motion
Based on the literature reviews, there are no direct mathematical or physical insights presented in the Water in Vacuum Literature Review article that directly contribute to solving the Navier-Stokes Millennium Problem. However, a closer look at the core concepts of both fields reveals several intriguing parallels in their underlying physics and mathematical challenges. The fundamental…