Results 91 to 100 of about 3,244,761 (335)
A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces
Abstract and Applied Analysis, 2012 We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to 𝐿2/(2−𝑟)̇𝐻((0,𝑇);ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3))), where ̇𝐻ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3)) is the multipliers ...
Xiang'ou Zhu
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Precise Real‐Time Measurement of Liquid Viscosity Using Digital Video Data
Advanced Intelligent Systems, EarlyView.Frame‐by‐frame image similarity analysis is employed to obtain the viscosity of moving liquids in real time. The method allows for online implementation even in harsh environments, replacing complex and invasive experiments. Quantitative knowledge of liquid viscosity is of fundamental importance in many areas of materials synthesis and processing ...
Zhiwen Pan +7 more
wiley +1 more source
Predicting airfoil stalling dynamics using upwind numerical solutions to non-viscous equations
Results in Engineering, 2023 Over the last few decades, researchers have been focusing on determining the critical attack angle at which dynamic stall occurs. This angle is usually determined by solving the Navier-Stokes equations, which include viscosity, pressure, gravity, and ...
Tohid Adibi +5 more
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Advanced Intelligent Systems, EarlyView.This study investigates 3D locomotion of surface‐rolling microrobots, revealing a trade‐off between hydrodynamic wall effects and gravity. Through experiments and simulations, it explores how robot size, inclination angle, actuation frequency, and surface microtopography affect the 3D locomotion.
Myungjin Park +5 more
wiley +1 more source
Existence and regularity of solutions to the Leray-alpha model with Navier slip boundary conditions
Electronic Journal of Differential Equations, 2016 We establish the existence and regularity of a unique weak solution to turbulent flows in a bounded domain $\Omega\subset\mathbb R^3$ governed by the Leray-$\alpha$ model with Navier slip boundary condition for the velocity. Furthermore, we show that
Hani Ali, Petr Kaplicky
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BOPHY Dyes Bearing Arylsulfenyl Moieties as Highly Efficient Triplet Photosensitizers
Asian Journal of Organic Chemistry, EarlyView.A new set of symmetric BOPHY dyes has been successfully applied in photoinduced processes acting as triplet photosensitizers. They have been used not only in bimolecular systems for photon upconversion based on triplet‐triplet annihilation but also in generating singlet oxygen for oxidation processes.
Julieth Bellaizac‐Riascos +5 more
wiley +1 more source
The past decade has seen considerable activity in algorithm development for the Navier-Stokes equations. This has resulted in a wide variety of useful new techniques.
Barth, Timothy J., Lomax, Harvard
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Advanced Nanoscale Functionalities for Water and Energy Technologies
Advanced Physics Research, EarlyView.Nanofluidics explores fluid and ion transport under nanoscale confinement, driving advancements in water treatment and energy technologies. With applications in high‐efficiency desalination, osmotic energy generation, and scalable energy storage, it leverages unique material properties and confinement effects to address critical challenges in ...
Zhi Xu +8 more
wiley +1 more source
Journal of MathematicsIn the paper, we consider the regularity of the weak solutions for the incompressible 3D Navier–Stokes (N–S) equations. Our main result is the double-logarithmic regularity criterion of pressure for the 3D Navier–Stokes equations in the Besov space ...
Min Liu, Juan Song, Tian-Li Li
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Uniform Error Estimates of the Finite Element Method for the Navier-Stokes Equations in R2 with L2 Initial Data. [PDF]
Entropy (Basel), 2023 Ren S, Wang K, Feng X.
europepmc +1 more source