Two-dimensional equilibrium configurations in Korteweg fluids
نویسندگان
چکیده
In this paper, after reviewing the form of constitutive equations for a third grade Korteweg fluid, recently derived by means an extended Liu procedure, equilibrium problem is investigated. By considering two-dimensional setting, single nonlinear elliptic equation such that conditions are identically satisfied. Such discussed both analytically and numerically. Moreover, particular boundary value Dirichlet type, some preliminary numerical solutions presented.
منابع مشابه
On Electro-kinetic Fluids: One Dimensional Configurations
Electro-kinetic fluids can be modeled by hydrodynamic systems describing the coupling between fluids and electric charges. The system consists of a momentum equation together with transport equations of charges. In the dynamics, the special coupling between the Lorentz force in the velocity equation and the material transport in the charge equation gives an energy dissipation law. In stationary...
متن کاملEquilibrium configurations of fluids and their stability in higher dimensions
We study equilibrium shapes, stability and possible bifurcation diagrams of fluids in higher dimensions, held together by either surface tension or self-gravity. We consider the equilibrium shape and stability problem of self-gravitating spheroids, establishing the formalism to generalize the MacLaurin sequence to higher dimensions. We show that such simple models, of interest on their own, als...
متن کاملEquilibrium Configurations of Homogeneous Fluids in General Relativity
By means of a highly accurate, multi-domain, pseudo-spectral method, we investigate the solution space of uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies. It turns out that this space can be divided up into classes of solutions. In this paper, we present two new classes including relativistic core-ring and tworing solutions. Combining our knowledge of the first four c...
متن کاملThe Weyl Tensor and Equilibrium Configurations of Self–gravitating Fluids
It is shown that (except for two well defined cases), the necessary and sufficient condition for any spherically symmetric distribution of fluid to leave the state of equilibrium (or quasi–equilibrium), is that the Weyl tensor changes with respect to its value in the state of equilibrium (or quasi–equilibrium). ∗Postal address: Apartado 80793, Caracas 1080A, Venezuela; E-mail address: laherrera...
متن کاملEquilibrium configurations and energetics of point defects in two-dimensional colloidal crystals.
We demonstrate a novel method of introducing point defects (mono- and divacancies) in a confined monolayer colloidal crystal by manipulating individual particles with optical tweezers. Digital video microscopy is used to study defect dynamics in real space and time. We verify the numerical predictions that the stable configurations of the defects have reduced symmetry compared to the triangular...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical and applied mechanics
سال: 2022
ISSN: ['1450-5584', '2406-0925']
DOI: https://doi.org/10.2298/tam220930008g