Heat flow in porous media
公开This project models the heat flow of a gas when it is forced through a porous medium in one spatial dimension. A Forchheimer conservation of momentum equation for non-Darcy flow is solved simultaneously with the conservation of mass equation using the standard Galerkin finite element method with linear elements. The conservation of energy {convection-diffusion) equation is solved with a streamline diffusion method to reduce the oscillations induced by the standard Galerkin finite element method. A Picard iteration scheme is used to handle the non-linear terms in the model and to iterate between the energy equation and the conservation of mass and momentum system. A backward Euler method is used to handle the time discretization.
- This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.
- Creator
- Publisher
- Identifier
- 01D323M
- Advisor
- Year
- 2001
- Sponsor
- Date created
- 2001-01-01
- Resource type
- Major
- Rights statement
关系
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项目
Permanent link to this page: https://digital.wpi.edu/show/4j03d252w