Journal
APPLIED MATHEMATICAL MODELLING
Volume 33, Issue 1, Pages 274-283Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2007.11.007
Keywords
Transient heat conduction; Lumped models; Temperature-dependent thermal conductivity; Nonlinear heat conduction
Funding
- CNPq
- FAPERJ
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This work reports improved lumped-parameter models for transient heat conduction in a slab with temperature-dependent thermal conductivity. The improved lumped models are obtained through two point Hermite approximations for integrals. For linearly temperature-dependent thermal conductivity, it is shown by comparison with numerical solution of the original distributed parameter model that the higher order lumped model (H-1.1/H-0,H-0 approximation) yields significant improvement of average temperature prediction over the classical lumped model. A unified Biot number limit depending on a single dimensionless parameter beta is given both for cooling and heating processes. (C) 2007 Elsevier Inc. All rights reserved.
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