Results 81 to 90 of about 195,153 (293)
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
doaj +1 more source
Simulation of CO2–water two‐phase fluid displacement characteristics based on the phase field method
Deep Underground Science and Engineering, EarlyView.In the present study, a two‐dimensional numerical model of porous media was developed using the actual pore structure of the core sample. The phase field method was utilized to simulate the impact of the displacement velocity, the water–gas viscosity ratio, and the density ratio on the flow behavior of two‐phase fluids in porous media. Abstract The two‐
Changnü Zeng +3 more
wiley +1 more source
Governing equations of fluid mechanics in physical curvilinear coordinate system
Electronic Journal of Differential Equations, 1998 This paper presents the development of unsteady three-dimensional incompressible Navier-Stokes and Reynolds-averaged Navier-Stokes equations in an unsteady physical curvilinear coordinate system. It is demonstrated that the numerical simulations based on
Swungho Lee, Bharat K. Soni
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Dynamic Stability of the 3D Axi-symmetric Navier-Stokes Equations with Swirl
, 2006 In this paper, we study the dynamic stability of the 3D axisymmetric Navier-Stokes Equations with swirl. To this purpose, we propose a new one-dimensional (1D) model which approximates the Navier-Stokes equations along the symmetry axis.
Hou, Thomas Y., Li, Congming
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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
wiley +1 more source
Flow in a model turbine stator [PDF]
In view of the complex nature of the flowfield in the hot section of gas turbine engines, the need to predict heat transfer and flow losses, the possible appearance of separation and strong secondary flows, etc., the present effort is focusing upon a ...
Briley, W. R. +2 more
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Deep Underground Science and Engineering, EarlyView.This study investigates the feasibility of utilizing insoluble sediments in salt caverns for short‐ and long‐term thermal energy storage applications. The analysis revealed three key thermal characteristics of these sediments: (1) thermal shock resistance, (2) temperature differential compensation capability during air injection, and (3) high ...
Tsunming Wong +4 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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Energy Science &Engineering, EarlyView.ABSTRACT The turbulent flow between coaxial cylinders, particularly when the inner cylinder is rotating, exhibits complex hydrodynamic and heat transfer behaviors critical for various engineering applications. Although many previous studies have simplified these systems with idealized assumptions, real‐world scenarios involve mixed convection and ...
Tohid Adibi +5 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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