A computer program is developed to calculate the internal temperature distribution in a rolling tire. The geometry of the tire cross section is transformed to simple computational domains by using a boundary-fitted coordinate transformation method. A heat transfer equation in the tire is also transformed to be calculated in the computational domain. Heat generation rates are estimated from load, speed, contained air pressure, and a static stress and strain analysis. An unsteady two-dimensional heat conduction equation is solved with heat convection and radiation boundary conditions. External surface temperature distributions are measured by an infrared camera system and the temperature of the contained air is measured by a thermocouple. The conductivities of various materials in the tire and various heat transfer coefficients along the tire boundary are given in an input file. Some internal temperatures measured by buried thermocouples in the actual tire are compared with the calculated temperatures.
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