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Two-D Heat Transfer through Porous Media with Heat Generation.
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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This thesis investigation develops an axisymmetric heat transfer-combustion model of a porous medium within a circular cylinder. System flow is governed by Darcys law. Carbon and air properties are treated as variables of temperature. A combined continuity-Darcy equation, an oxygen mass balance equation, and energy balance equations one each for air and carbon, describe the conservation laws of the system. Transport mechanisms for oxygen mass transfer are molecular diffusion and convective transport, and an oxygen consumption term to account for combustion is included. Heat transfer mechanisms included in the model are conduction and convection. Radiation is accounted for at applicable boundaries only. Nonvolatile combustion is accounted for in the carbon energy and oxygen mass balance equations as a heat generation term of Arrhenius type. The numerical solution of four coupled, nonlinear, transient partial differential field equations is accomplished using the Galerkin formulation of the Finite Element Method. The effect of porosity of system behavior is examined. Additional keywords Semenov model, and Numerical analysis.
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