Results 61 to 70 of about 183,211 (204)
Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
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Plasmakristall‐4 Experiment: 10 Years of Operation in Orbit
Contributions to Plasma Physics, EarlyView.ABSTRACT Plasmakristall‐4 (PK‐4) is a microgravity complex plasma laboratory operated for 10 years on board the International Space Station. Its main purpose is the particle‐resolved investigation of generic condensed matter phenomena using strongly coupled suspensions of microparticles immersed in low‐pressure gas‐discharge plasmas.
M. Pustylnik +3 more
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Abstract and Applied Analysis, 2013 This paper presents two-level iteration penalty finite element methods to approximate the solution of the Navier-Stokes equations with friction boundary conditions.
Yuan Li, Rong An
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Recent advances in boosting interfacial bubble dynamics with external fields
Droplet, EarlyView.External physical fields, including acoustic, magnetic, thermal, mechanical, and optical stimuli, accelerate the entire bubble‐dynamics sequence of nucleation, growth, and detachment. Abstract The efficiency of industrial electrocatalytic reactions depends not only on generating gaseous products but also on their detachment from the catalyst surface ...
Wenlu Xie +5 more
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About the new version of maximum principle of Navier-Stokes equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2015 The below shows the links of the extreme values of the velocity vector, the kinetic energy density and pressure of nonlinear Navier-Stokes equations.
A.Sh. Akysh
doaj
Deep Underground Science and Engineering, EarlyView.Fluid flow through a single fracture is commonly described by the cubic law. However, deviations from this model are expected because natural fracture surfaces are rough and in contact with each other in discrete regions. In this study, the interactions between fracture closure, contact area, and hydraulic characterization of mesoscopic‐scale rough ...
Chenghao Han +5 more
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Deep Underground Science and Engineering, EarlyView.The evolution of the temperature field and frozen wall under different fracture conditions was examined by an artificial ground freezing‐based thermal‐hydraulic coupled model. It was observed that fracture inclination affects the interaction extent of freezing pipes and fracture, while phase transition extent is the dominant factor for heat transfer in
Chenyi Zhang +9 more
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Solution of Fraction Navier–Stokes Equation Using Homotopy Analysis Method
AppliedMathIn the present study, we aimed to derive analytical solutions of the homotopy analysis method (HAM) for the time-fractional Navier–Stokes equations in cylindrical coordinates in the form of a rapidly convergent series.
Hamza Mihoubi, Awatif Muflih Alqahtani
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.This study develops eco‐friendly two‐dimensional nanoparticle‐enhanced phase change materials (2D NePCMs) using biodegradable beeswax infused with rGO, GO, and MXene nanoparticles. Experimental results demonstrated up to 21.9% enhancement in thermal conductivity with minimal latent heat loss, while machine learning models achieved >95% predictive ...
Abdullah Aziz +3 more
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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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