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A dual reciprocity boundary element formulation for transient non-linear conduction-radiation problems
Blobner, Jutta ...
A boundary-only formulation for transient temperature fields in bodies of nonlinear material properties and arbitrary non-linear conditions has been developed. The option for self-irridiating ...boundaries has been included in the formulation. Heat conduction equation has been pertially linearized by Kirchoff's transformation. The result has been discretized by the Dual Reciprocity Boundary Element Method. The integral equation of heat radiation has been discretized by the standard BEM. The coupling of the resulting two sets of equations has been accomplished by eliminating the radiative heat fluxes arising in both sets. The final set of ordinary differential equations has been solved using Runge-Kutta solver with automatic time adjustment. Another discussed problem is coupling of transient conduction in a solid with nartural convection in the surrounding fluid by discretizing the fluid itself.
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