Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
A Mimetic Finite-Difference Scheme for Convection of Multicomponent Fluid in a Porous Medium
Date
2009-09-17
Author
Tsybulin, Vyacheslav
Nemtsev, Andrew
Karasözen, Bülent
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
305
views
0
downloads
Cite This
A mimetic finite-difference scheme for the equations of three-dimensional convection of a multicomponent fluid in a porous medium is developed. The discretization is based on staggered grids with five types of nodes (velocities, pressure, temperature, and mass fractions) and on a special approximation of nonlinear terms. Computer experiments have revealed the continuous family of steady states in the case of the zero heat fluxes through two opposite lateral planes of parallelepiped.
Subject Keywords
Cosymmetry
URI
https://hdl.handle.net/11511/66696
Collections
Department of Mathematics, Course Material
Suggestions
OpenMETU
Core
Selection of steady states in planar Darcy convection
Tsybulin, V. G.; Karasözen, Bülent; Ergenc, I. (2006-08-07)
The planar natural convection of an incompressible fluid in a porous medium is considered. We study the selection of steady states under temperature perturbations on the boundary. A selection map is introduced in order to analyze the selection of a steady state from a continuous family of equilibria which exists under zero boundary conditions. The results of finite-difference modeling for a rectangular enclosure are presented.
Destruction of the family of steady states in the planar problem of Darcy convection
Tsybulin, V. G.; Karasözen, Bülent (2008-08-25)
We consider natural convection of an incompressible fluid in a porous medium described by the planar Darcy equation. For some boundary conditions, Darcy problem may have non-unique solutions in form of a continuous family of steady states. We are interested in the situation when these boundary conditions are violated. The resulting destruction of the family of steady states is studied via computer experiments based on a mimetic finite-difference approach. Convection in a rectangular enclosure is considered ...
Cosymmetric families of steady states in Darcy convection and their collision
Karasözen, Bülent (2004-03-15)
Natural planar convection of incompressible fluid in a porous medium, the Darcy model is studied. This problem belongs to the class of cosymmetric systems for whose an emergence of a continuous family of steady states (equilibria) is possible. We study the evolution of several families of steady states in the case of wide enclosure and analyze new effects of collision and reorganization of such families.
Development of core/shell structured composite nanofibers via coaxial electrospinning method
Yılmaz, Refik Barış; Bayram, Göknur; Department of Chemical Engineering (2019)
An emulsion is a fluid system obtained by dispersing one of two immiscible liquids in the other. Since this formation is thermodynamically unstable, it has to be stabilized using an emulsifier. Emulsions in which solid particles are used as emulsifiers are called Pickering emulsions. In this study, the investigation of the effect of different hydrodynamic conditions on the production of Pickering emulsions in unbaffled stirred tanks was aimed. Oil in water Pickering emulsions were produced. Distilled water ...
Convection in a Porous Medium and Mimetic Scheme in Polar Coordinates
Karasözen, Bülent; Tsybulin, Vyacheslav (2011-09-09)
Analytical investigation of natural convection of the incompressible fluid in the porous media based on the Darcy hypothesis (Lapwood convection) gives intriguing branching off of one-parameter family of convective patterns. This scenario may be suppressed in computations when governing equations are approximated by schemes which do not preserve the cosymmetry property. We consider the problem in polar coordinates and construct a mimetic finite-difference scheme using computer algebra tools. The family of s...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
V. Tsybulin, A. Nemtsev, and B. Karasözen, “A Mimetic Finite-Difference Scheme for Convection of Multicomponent Fluid in a Porous Medium,” 00, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66696.