Results 41 to 50 of about 183,211 (204)

Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations

, 2018
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map for recovering the full trajectories from their corresponding coarse mesh
Biswas, Animikh, Foias, Ciprian, Mondaini, Cecilia F., Titi, Edriss S.   +3 more
core   +1 more source

A Computational Approach for Biomimetic Design of Liver‐On‐A‐Chip

Advanced Intelligent Discovery, EarlyView.
A biomimetic liver‐on‐a‐chip with antiparallel perfusion was designed using COMSOL‐guided simulation to replicate hepatic acinus transport. Full‐scale modelling revealed diffusion‐dominated, length‐dependent nutrient gradients and low‐shear conditions.
Zhenxu Yang, Qiankun Yin, Qingxin Liu, Zhejun Xu, Ye Zhang, Christopher Vega‐Sánchez, Xiaochen Liu, Daniele Vigolo, Jiao Jiao Li, Ken‐Tye Yong   +9 more
wiley   +1 more source

Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions

Electronic Journal of Differential Equations, 2017
In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space.
Rui Niu, Hongtao Zheng, Binlin Zhang
doaj  

Unconditional energy conservation and conditional regularity for the incompressible Navier-Stokes Maxwell system

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study a hydrodynamic system modeling the evolution of a plasma subject to a self-induced electromagnetic Lorentz force in incompressible viscous fluids. The system consists of the Navier–Stokes equations coupled with a Maxwell equation.
Dandan Ma, Fan Wu
doaj   +1 more source

Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel [PDF]

, 2007
In this paper we consider the three-dimensional Navier-Stokes equations in an infinite channel. We provide a sufficient condition, in terms of $\partial_z p$, where $p$ is the pressure, for the global existence of the strong solutions to the three ...
Cao, Chongsheng, Titi, Edriss S.
core   +1 more source

Microrobotic Catheterization of the Ophthalmic Artery for Targeted Treatment of Retinoblastoma

Advanced Intelligent Systems, EarlyView.
A microrobotic platform is presented that allows teleoperated and autonomous navigation of flow‐driven magnetic microcatheters, MagFlow, into the ophthalmic artery for superselective intra‐arterial infusion of chemotherapy to treat retinoblastoma. Extensive benchtop validations with patient‐derived biomimetic phantoms under optical and fluoroscopic ...
Artur Banach, Mehdi Krichen, Julian Raub, Christina Stathopoulos, Bruno Bartolini, Mahmut Selman Sakar   +5 more
wiley   +1 more source

Numerical and Experimental Study of Mixing Characteristics in a Spiral Micromixer

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Significant enhancement of mixing performance can be achieved by Dean vortices in spiral channels. In order to deeply explore the mixing mechanisms and variation laws in spiral micromixers, this work designed a spiral micromixer and adopted a combined method of experiments and numerical simulations to analyze the mixing performance and ...
Anming Yang, Shiqing Zheng
wiley   +1 more source

The role of BKM-type theorems in $3D$ Euler, Navier-Stokes and Cahn-Hilliard-Navier-Stokes analysis

, 2017
The Beale-Kato-Majda theorem contains a single criterion that controls the behaviour of solutions of the $3D$ incompressible Euler equations. Versions of this theorem are discussed in terms of the regularity issues surrounding the $3D$ incompressible ...
Gibbon, John D., Gupta, Anupam, Pal, Nairita, Pandit, Rahul   +3 more
core   +1 more source

Research on Evaporation Characteristics and Safe Storage Duration of Marine Liquid Hydrogen Storage Tanks Under the Coupling Effect of Heat Leakage and Sloshing

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Liquid hydrogen, a zero‐carbon and high–energy‐density fuel, is a promising option for future oceangoing vessels. During maritime transportation, onboard cryogenic tanks are exposed to ambient heat leakage and ship‐induced roll motion, which can trigger sloshing and fundamentally modify the coupled thermo‐fluid processes governing boil‐off and
Yan Deng, Wenfeng Wu, Zhenyu Zhao, Rongsheng Lin, Liangyi Sun, Youfei Liu   +5 more
wiley   +1 more source

Rheology of compressible and density-variable Newtonian flows: non-Stokes hypothesis and ‘volume diffusion’

Journal of Physics Communications
Stokes’ hypothesis allows for the frequent neglect of the bulk viscosity term related to fluid dilation effects on the viscous stress tensor in Newtonian flows.
S Kokou Dadzie
doaj   +1 more source