«Well-posedness» of the magnetoplasmastatic problem with anisotropic stress tensor

1989 ◽  
Vol 11 (3) ◽  
pp. 467-475
Author(s):  
C. Lo Surdo
Keyword(s):  
Stress Tensor ◽  
Well Posedness ◽  
Anisotropic Stress ◽  
Anisotropic Stress Tensor

Turbulent rotating flow calculations: An assessment of two-equation anisotropic and Reynolds stress models

1998 ◽  
Vol 212 (3) ◽  
pp. 193-212 ◽  
Author(s):  
S P Yuan ◽  
R M C So
Keyword(s):  
Stress Tensor ◽  
Turbulent Flows ◽  
Reynolds Stress ◽  
Dissipation Rate ◽  
Rotating Flow ◽  
Mean Flow ◽  
Mean Velocity ◽  
Anisotropic Stress ◽  
The Mean ◽  
Anisotropic Stress Tensor

The stress field in a rotating turbulent internal flow is highly anisotropic. This is true irrespective of whether the axis of rotation is aligned with or normal to the mean flow plane. Consequently, turbulent rotating flow is very difficult to model. This paper attempts to assess the relative merits of three different ways to account for stress anisotropies in a rotating flow. One is to assume an anisotropic stress tensor, another is to model the anisotropy of the dissipation rate tensor, while a third is to solve the stress transport equations directly. Two different near-wall two-equation models and one Reynolds stress closure are considered. All the models tested are asymptotically consistent near the wall. The predictions are compared with measurements and direct numerical simulation data. Calculations of turbulent flows with inlet swirl numbers up to 1.3, with and without a central recirculation, reveal that none of the anisotropic two-equation models tested is capable of replicating the mean velocity field at these swirl numbers. This investigation, therefore, indicates that neither the assumption of anisotropic stress tensor nor that of an anisotropic dissipation rate tensor is sufficient to model flows with medium to high rotation correctly. It is further found that, at very high rotation rates, even the Reynolds stress closure fails to predict accurately the extent of the central recirculation zone.

scholarly journals Electromechanics of the liquid water vapour interface

2020 ◽  
Vol 22 (19) ◽  
pp. 10676-10686 ◽  
Author(s):  
Chao Zhang ◽  
Michiel Sprik
Keyword(s):  
Water Vapor ◽  
Stress Tensor ◽  
Water Vapour ◽  
Surface Potential ◽  
Liquid Water ◽  
Maxwell Stress ◽  
Capillary Effect ◽  
Vapor Interface ◽  
Maxwell Stress Tensor ◽  
Anisotropic Stress

The response of the anisotropic stress at the liquid water vapor interface to a finite electric suggests that the surface potential of water can be seen as an electro-capillary effect coupled to the Maxwell stress tensor.

scholarly journals On the uniqueness for weak solutions of steady double-phase fluids

2021 ◽  
Vol 11 (1) ◽  
pp. 454-468
Author(s):  
Mohamed Abdelwahed ◽  
Luigi C. Berselli ◽  
Nejmeddine Chorfi
Keyword(s):  
Stress Tensor ◽  
Newtonian Fluid ◽  
Weak Solutions ◽  
Convective Term ◽  
Anisotropic Stress ◽  
Stress Tensors ◽  
Double Phase ◽  
Wide Range

Abstract We consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1 < p<2 < q<∞. For a wide range of parameters (p, q), we prove the uniqueness of small solutions. We use the p < 2 features to obtain quadratic-type estimates for the stress-tensor, while we use the improved regularity coming from the term with q > 2 to justify calculations for weak solutions. Results are obtained through a careful use of the symmetries of the convective term and are also valid for rather general (even anisotropic) stress-tensors.

scholarly journals Spherically Symmetric Fluid Cosmological Model with Anisotropic Stress Tensor in General Relativity

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
D. D. Pawar ◽  
V. R. Patil ◽  
S. N. Bayaskar
Keyword(s):  
General Relativity ◽  
Cosmological Model ◽  
Generating Functions ◽  
Energy Tensor ◽  
Spherically Symmetric ◽  
Stress Energy Tensor ◽  
Anisotropic Stress ◽  
Stress Energy ◽  
Anisotropic Stress Tensor ◽  
Symmetric Spacetime

This paper deals with the cosmological models for the static spherically symmetric spacetime for perfect fluid with anisotropic stress energy tensor in general relativity by introducing the generating functions g(r) and w(r) and also discussing their physical and geometric properties.

Cauchy Problem for Equations with Fractional Differentiation Bessel Operator in the Space of Temperate Distributions

2003 ◽  
Vol 8 (1) ◽  
pp. 61-75
Author(s):  
V. Litovchenko
Keyword(s):  
Functional Analysis ◽  
Cauchy Problem ◽  
Fundamental Solution ◽  
Initial Function ◽  
Well Posedness ◽  
Fractional Differentiation ◽  
Basic Tool ◽  
Conjugate Space ◽  
Analysis Technique ◽  
The Cauchy Problem

The well-posedness of the Cauchy problem, mentioned in title, is studied. The main result means that the solution of this problem is usual C∞ - function on the space argument, if the initial function is a real functional on the conjugate space to the space, containing the fundamental solution of the corresponding problem. The basic tool for the proof is the functional analysis technique.

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