Topic
Incompressible flow
About: Incompressible flow is a research topic. Over the lifetime, 10646 publications have been published within this topic receiving 323234 citations.
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TL;DR: In this article, a density dependent, non-Newtonian, incompressible system with the space being flat torus is considered and the viscious stress in the momentum equation is understood through the rheological law and its connection to the proper convex potential.
Abstract: We consider density dependent, non-Newtonian, incompressible system with the space being flat torus. The viscious stress in the momentum equation is understood through the rheological law and its connection to the proper convex potential. We define the dissipative measure-valued solutions for the aforementioned equations as well as provide a proof of its existence. The main result of this work is the mv-strong uniqueness of the defined solutions.
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03 Jan 2017-World Academy of Science, Engineering and Technology, International Journal of Mathematical and Computational Sciences
TL;DR: In this article, a mathematical model based on the Cauchy momentum-Nernst-Planck-Poisson equations is considered to study the combined effect of mixed electroosmotic (EO) and pressure driven (PD) flow.
Abstract: In this study, we have analyzed the transport of analytes
under a two dimensional steady incompressible flow of power-law
fluids through rectangular nanochannel. A mathematical model
based on the Cauchy momentum-Nernst-Planck-Poisson equations is
considered to study the combined effect of mixed electroosmotic
(EO) and pressure driven (PD) flow. The coupled governing
equations are solved numerically by finite volume method. We
have studied extensively the effect of key parameters, e.g., flow
behavior index, concentration of the electrolyte, surface potential,
imposed pressure gradient and imposed electric field strength on
the net average flow across the channel. In addition to study
the effect of mixed EOF and PD on the analyte distribution
across the channel, we consider a nonlinear model based on
general convective-diffusion-electromigration equation. We have also
presented the retention factor for various values of electrolyte
concentration and flow behavior index.
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TL;DR: In this article, the effects of random homogeneous isotropic initial conditions on freely decaying solutions of the Navier-Stokes equation with a hyper-viscous force are studied.
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07 Sep 2007
TL;DR: In this paper, a multiphase particle-in-cell (MP-PIC) method is presented to simulate dynamics of particulate flows in various physical conditions taking the best features from the Eulerian-Eulerian continuum model and Eulerians Lagrangian discrete model.
Abstract: The multiphase particle‐in‐cell (MP‐PIC) method is presented in this paper. This method which is dedicated to simulate dynamics of particulate flows in various physical conditions takes the best features from the Eulerian‐Eulerian continuum model and Eulerian‐Lagrangian discrete model. The particles are treated as a discrete phase which motion is governed by the Newton law. On the contrary, the interactions between the particles are defined in a time‐economic continuous way like in the Eulerian‐Eulerian model. The fluid equations which take into account the particle presence in the flow are numerically solved by the use of the projection method worked out for incompressible flows. The projection method has been adapted to the fluid‐particle flows which fluid velocity divergence is not equal zero thus the fluid flow is not incompressible. The effects of the fluid compressibility have been taken into consideration by change the boundary conditions for the projection method used to solving the fluid equations.
01 Jan 1965
TL;DR: In this article, the effects of propagating a sonic disturbance without reflection in a direction parallel but contrary to flow, over the entire flow, were experimentally studied in a 10 cm by 10 cm square duct with a fluid velocity of 6.8 meters per second, or pipe Reynolds number of 4700.
Abstract: : The effects of propagating a sonic disturbance without reflection in a direction parallel but contrary to flow, over the entire flow, were experimentally studied in a 10-cm by 10-cm square duct with a fluid velocity of 6.8 meters per second, or pipe Reynolds number of 4700. The effect was investigated over a range of sound frequencies of 300 to 1800 cps and sound pressure levels of 85 to 140 db re 0.0002 microbars. Sonic excitation reduced the low frequency components (below 300 cps) of the incoming turbulence. The turbulence reduction was greatest for a sound of frequency 700 cps and increased with increasing SPL. This reduction of incoming turbulence appears to retard transition to turbulence by reducing the amount of turbulence in air entering the duct thereby altering the turbulence profile without apparently changing the velocity profile. (Author)