Unsteady Conduction in a Horizontal Solid Cylinder Cooled by Natural Convection: Alternate Lumped Criterion in Terms of the Solid Material

作者：Campo Antonio; Sieres Jaime^*

来源：Journal of Heat Transfer, 2014, 136(8): 084501.

DOI：10.1115/1.4027354

• natural convection
• mean convective coefficient
• nonlinear lumped model
• lumped Biot number

Within the framework of the potent lumped model, unsteady heat conduction takes place in a solid body whose space-mean temperature varies with time. Conceptually, the lumped model subscribes to the notion that the external convective resistance at the body surface dominates the internal conductive resistance inside the body. For forced convection heat exchange between a solid body and a neighboring fluid, the criterion entails to the lumped Biot number Bi-l =((h) over bar /k(s))(V/A) %26lt; 0.1, in which the mean convective coefficient %26lt;(h)over bar%26gt; depends on the impressed fluid velocity. However, for natural convection heat exchange between a solid body and a fluid, the mean convective coefficient (h) over bar depends on the solid-to-fluid temperature difference. As a consequence, the lumped Biot number must be modified to read Bi-l = ((h) over bar (max)/k(s))(V/A) %26lt; 0.1, wherein %26lt;(h)over bar%26gt;(max) occurs at the initial temperature T-i for cooling or at a future temperature T-fut for heating. In this paper, the equivalence of the lumped Biot number criterion is deduced from the standpoint of the solid thermal conductivity through the solid-to-fluid thermal conductivity ratio.

• 出版日期2014-8