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ISSN Online: 2377-424X

International Heat Transfer Conference 3
August, 7-12, 1966, Chicago, USA

TRANSIENT HEATING OR COOLING OF ONE-DIMENSIONAL SOLIDS BY THERMAL RADIATION

Get access (open in a dialog) DOI: 10.1615/IHTC3.1240
pages 146-153

要約

The transient temperature distribution is determined for the semi-infinite solid, plate, cylinder and sphere subjected to heating or cooling by thermal radiation. The one dimensional solids are assumed to be homogeneous, isotropic, and opaque to thermal radiation and to have temperature independent physical properties. The initial temperature distribution and the environment temperature are assumed constant. In the analysis the transient heat conduction equation with its initial and boundary conditions is transformed to a nonlinear Volterra integral equation of the second kind. This equation is solved numerically on a digital computer by the method of successive approximations. The method is "exact" in the sense that any desired accuracy may be obtained. The results are presented graphically and compared with those available in the literature. Asymptotic solutions for small and large times are also given and their range of validity is discussed.