Abstract

This paper describes three-dimensional, transient heat conduction in a rectangular piece of wood with crossgrain, and in an orthotropic wooden cylinder. Computerized solutions of a generalized, nonlinear heat equation are derived by discretizing the space and the time domains, using explicit and implicit finite-difference techniques. A simplified example of linear heat conduction in cylindrical coordinates illustrates how to apply the finite-difference solutions. The accuracy of the solutions for this special case is evaluated via comparing them with a well-known exact solution.

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