Results 41 to 50 of about 33,255 (224)
Advanced Healthcare Materials, EarlyView.This study presents a bone‐on‐a‐chip platform incorporating TPMS scaffolds to study geometry‐dependent osteogenesis under dynamic flow. By tuning pore shape and solidity, it precisely controls mechanical cues, revealing how topological features and shear stress affect osteogenic differentiation and matrix formation.
Donggyu Kim +5 more
wiley +1 more source
The Navier-Stokes Equations [PDF]
, 2006 The Navier-Stokes equations were firmly established in the 19th Century as the system of nonlinear partial differential equations which describe the motion of most commonly occurring fluids in air and water, and since that time exact solutions have been sought by scientists. Collectively these solutions allow a clear insight into the behavior of fluids,
P. G. Drazin, N. Riley
openaire +2 more sources
Analysis of a mathematical model related to Czochralski crystal growth
Abstract and Applied Analysis, 1998 This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively.
Petr Knobloch, Lutz Tobiska
doaj +1 more source
On the accuracy of difference scheme for Navier-Stokes equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The article presents a study of difference schemes in time, which accuracy can be arbitrarily high. We present difference schemes in time for solving the Navier-Stokes equations, where series expansions are used to find the singularities of solutions of ...
Nikolay I Sidnyaev, Nadezhda M Gordeeva
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Lid-driven cavity flow using dual reciprocity [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the multi-domain dual reciprocity method of fundamental solutions (MD-MFSDR) for the analysis of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj, Bulko Roman
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Moth‐Wing‐Inspired Multifunctional Metamaterials
Advanced Materials, EarlyView.This study develops a moth‐wing‐inspired heterogeneous metamaterial that achieves synergistic broadband sound absorption, mechanical energy dissipation, and thermal insulation within a lightweight architected framework. Combining bioinspired gradient design, genetic‐algorithm optimization, and additive manufacturing, the bionic heterogeneous acoustic ...
Haoran Pei +12 more
wiley +1 more source
Mathematics, 2023 Since Sir Osborne Reynolds presented the Reynolds-averaged Navier–Stokes (RANS) equations in 1895, the construction of complete closure for RANS equations has been regarded as extremely challenging.
Sungmin Ryu
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Advanced Theory and Simulations, EarlyView.Phase‐field method based numerical modelling of the capillary rise in millimeter‐sized tubes, aiming for anti‐slip applications. The experimental validation was performed through capillary assays in polyethylene oxide (PEO) bulk modified polydimethylsiloxane (PDMS) channels.
Shivam Sharma +7 more
wiley +1 more source
Partial Differential Equations in Applied MathematicsThe dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure.
P. Dunnimit +2 more
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Advanced Science, EarlyView.A self‐consistent ab initio many‐body perturbation theory combined with locally exact dynamical mean field theory is employed to compute the sub‐bandgap electronic transitions in van der Waals antiferromagnets. The rich interplay between the magnetic ordering and spin‐entangled optical transitions, manifested as photoluminescence and absorption ...
Dipankar Jana +7 more
wiley +1 more source