FEATool Multiphysics v1.10
Finite Element Analysis Toolbox
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. Or alternatively, follow the step-by-step instructions below.
0into the xmin edit field.
0.02into the xmax edit field.
0into the ymin edit field.
0.01into the ymax edit field.
0.001into the Grid Size edit field.
3into the Thermal conductivity edit field.
900+273into the Temperature edit field.
50into the Heat transfer coefficient edit field.
50+273into the Bulk temperature edit field.
0.7*5.669e-8into the Radiation constant edit field.
50+273into the Ambient temperature edit field.
Evaluate the temperature in the points (0.01, 0.01), (0.01, 0.005), and (0.01, 0) and compare with the reference values Tref = 984, 1064, and 1088.
0.01into the Evaluation coordinates in x-direction edit field.
0.01into the Evaluation coordinates in y-direction edit field.
0.005into the Evaluation coordinates in y-direction edit field.
0into the Evaluation coordinates in y-direction edit field.
The heat transfer in a ceramic strip heat transfer model has now been completed and can be saved as a binary (.fea) model file, or exported as a programmable MATLAB m-script text file, or GUI script (.fes) file.
 Holman JP. Heat Transfer. Fifth Edition, New York: McGraw-Hill, page 96, Example 3-8, 1981.