Results 31 to 40 of about 200 (51)
Fokker-Planck equation in bounded domain [PDF]
arXiv, 2009 We study the existence and the uniqueness of a solution $\fy$ to the linear Fokker-Planck equation $-\Delta \fy + \div(\fy \F) = f$ in a bounded domain of $\R^d$ when $\F$ is a "confinement" vector field acting for instance like the inverse of the distance to the boundary.
arxiv
High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation [PDF]
arXiv, 2020 We give a small data global well-posedness result for an incompressible Oldroyd-B model with wave number dissipation in the equation of stress tensor. The result is uniform in solvent Reynolds numbers, and requires only fractional wave-number dependent dissipation $(-\Delta)^{\beta}$, $\beta \ge \frac{1}{2}$ in the added stress.
arxiv
Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics [PDF]
arXiv, 2011 This paper is an introduction to the modelling of viscoelastic fluids, with an emphasis on micro-macro (or multiscale) models. Some elements of mathematical and numerical analysis are provided. These notes closely follow the lectures delivered by the second author at the Chinese Academy of Science during the Workshop "Stress Tensor Effects on Fluid ...
arxiv
On the well-posedness of a mathematical model describing water-mud interaction [PDF]
, 2012 In this paper we consider a mathematical model describing the two-phase interaction between water and mud in a water canal when the width of the canal is small compared to its depth. The mud is treated as a non-Netwonian fluid and the interface between the mud and fluid is allowed to move under the influence of gravity and surface tension.
arxiv +1 more source
Squeeze flow of a viscoplastic Bingham medium: an asymptotic solution [PDF]
arXiv, 2013 We obtain an asymptotic solution for the squeeze flow of a viscoplastic medium. The standard lubrication-style expansions of the problem predict plug speed which varies slowly in the principal flow direction. This variation implies that the plug region cannot be truly unyielded.
arxiv
Non-linear Langevin model for the early-stage dynamics of electrospinning jets [PDF]
, 2015 We present a non-linear Langevin model to investigate the early-stage dynamics of electrified polymer jets in electrospinning experiments. In particular, we study the effects of air drag force on the uniaxial elongation of the charged jet, right after ejection from the nozzle.
arxiv +1 more source
Stabilized approximation of steady flow of third grade fluid in presence of partial slip
Results in Physics, 2017 This article presents a stable numerical solution to the steady flow of thermodynamic compatible third grade fluid past a porous plate. Problem formulation is completed through partial slip condition.
Amer Rasheed +3 more
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Convergence analysis of a fractional time-stepping technique for incompressible fluids with microstructure [PDF]
arXiv, 2013 We present and analyze a fully discrete fractional time stepping technique for the solution of the micropolar Navier Stokes equations, which is a system of equations that describes the evolution of an incompressible fluid whose material particles possess both translational and rotational degrees of freedom. The proposed scheme uncouples the computation
arxiv
The JETSPIN User Manual (Version 1.20) [PDF]
arXiv, 2015 JETSPIN is an open-source computer program specifically designed to simulate the electrospinning process of nanofibers. This manual provides an overview of JETSPIN, focusing primarily on its structure, parallel implementations, functionality, performance, and availability.
arxiv
Alexandria Engineering Journal, 2019 This study numerically investigates the mass and heat transfer in a pressure induced flow of a reactive third-grade fluid with Reynolds’ viscosity model through a fixed cylindrical annulus, neglecting material consumption. The coupled nonlinear system of
Samuel Segun Okoya
doaj