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- Numerical modelling of a melting-solidification cycle of a phase-change . . .
we use an approach based on the Carman-Kozeny model to bring the velocity to zero inside the solid phase, as described in the previous section, instead of the viscosity penalty
- Numerical simulation and modelling of phase-change materials
In this thesis we develop a numerical simulation tool for computing two and three-dimensional liquid-solid phase-change systems involving natural convection
- Carman–Kozeny Equation - Springer
In real porous membranes, the pores may not be cylindrical and straight, and Eq 7 is modified by using the procedure developed by Carman and Kozeny, in which the pore diameter is replaced by the hydraulic diameter (DH):
- Microsoft Word - Abstract_Template_2022. docx - ESI Group
However, the EPM originally does not take unconstrained melting into account, as the velocity in solid cells is forced to zero by a Carman-Kozeny momentum equation source term that mimics a porous medium to allow treating solid and liquid phases in one common set of governing equations
- Numerical modelling of a melting-solidification cycle of a phase-change . . .
A high accuracy numerical model is used to simulate an alternate melting and solidification cycle of a phase change material (PCM) We use a second order (in time and space) finite-element method with mesh adaptivity to solve the single-domain model based on the Navier-Stokes-Boussinesq equations
- Probing liquation cracking and solidification through modeling of . . .
April 2005 transport phenomena-based mathematical model is developed to understand liquation cracking in weldments during fusion welding Equations of conservation of mass, momentum, heat, and solute transport are numerically solved considering nonequilibrium solidification and fille
- Parallel finite-element codes for the simulation of two . . . - CNRS
A Carman-Kozeny-type penalty term is added to the momentum equations to bring progressively the velocity to zero into the solid Model equations are discretized using Galerkin triangular or tetrahedral finite elements
- Validation of a Modified Carman-Kozeny Equation To Model Two-Phase . . .
This paper presents a validation of an internally consistent, physically based model for relative permeability based on an extension of the Carman-Kozeny (CK) equation
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