.... In the case of incompressible Newtonian fluid flow through a porous material such as a gasket modeled by a set of uniform and straight capillaries, the volumetric flow rate is obtained from the Navier–Stokes equations associated with the first order velocity slip condition 1 1 r d dr ( r...

...M. Utsumi This paper investigates a variational method for theoretically determining the first damping ratio of sloshing in cylindrical and arbitrary axisymmetric tanks. In this method, a virtual work expression for the viscous terms in the Navier–Stokes equations is transformed into the first-mode...

... of the unsteady flow model (UFM) with computational fluid dynamics (CFD). The CFD model employed solves the Reynolds averaged Navier–Stokes equations for unsteady turbulent flow and is cast in an arbitrary Lagrangian–Eulerian form to handle any motion associated with tubes. The CFD solution provides time domain...

... as one entity discretized on a single grid. Its behavior is described by a single set of equations, which are solved fully implicitly. In this paper, the elastodynamic equations are reformulated so that they contain the same unknowns as the Navier–Stokes equations, namely, velocities and pressure. Two...

... bubbles fluid oscillations hydrodynamics Navier-Stokes equations pressure vessels two-phase flow SRV dynamic load bubble cloud pressure oscillation CCUP method The motion of a bubble cloud has been mostly analyzed in the field of cavitation engineering. Wang and Brennen ( 5 ) solved...

... of the equations of motion of the mechanism and the other, with implicit integration. Both methods rely on a Navier-Stokes equation solver for the fluid flow. The more computationally expensive, implicit method is recommended for mathematically stiff mechanisms such as piston movement. Industrial-application...

... of a thin cylindrical shell, we focus on axisymmetric vibration, that is, the ringlike vibration of a shell. The coupled equations between a shell and a fluid are obtained by using the Donnell’s shell theory and the Navier-Stokes equation. The added mass, added damping and added stiffness matrices...

... of a thin cylindrical shell, we focus on lateral vibration, that is, the beamlike vibration of a shell. The coupled equations between a shell and a fluid are obtained by using the Donnell’s shell theory and the Navier-Stokes equation as same as the former paper. The influence of the axial velocity...

...Th. Frank; H. Schneider; K. Bernert; K. Pachler This paper deals with the numerical simulation of two-phase flows based on the solution of the Navier-Stokes equations with a k − ε turbulence model for the gas phase and a particle tracking model of the disperse phase fulfilling the framework...