Two dimensional heat transfer of a ceramic strip with both radiation and convection on the top boundary. The ceramic has a thermal conductivity of 3 W/mK and the sides are fixed at a temperature of 900 °C while the bottom boundary is insulated. The surrounding temperature is 50 °C. The top boundary is exposed to both natural convection (with a film coefficient h = 50 W/m2K) and radiation (with emissivity ε = 0.7 and the Stefan-Boltzmann constant 5.669·10-8 W/m2K4). The solution is sought at three points along the vertical symmetry line.
This model is available as an automated tutorial by selecting Model Examples and Tutorials… > Heat Transfer > Heat Transfer in a Ceramic Strip from the File menu, and also as the MATLAB simulation m-script example ex_heattransfer1. Step-by-step tutorial instructions to set up and run this model are linked below.
Reference
[1] Holman, J. P., Heat Transfer, Fifth Edition, New York: McGraw-Hill, 1981, page 96, Example 3-8.