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

• Ball, Brian L.

Publisher

• Worcester Polytechnic Institute

Identifier

• 01D323M

Advisor

• Vernescu, Bogdan M.
• Larsen, Christopher J.

Year

• 2001

Sponsor

• DEKA Research & Development Corporation

Date created

• 2001-01-01

Resource type

• Major Qualifying Project

Major

• Physics

Rights statement

• In Copyright