Analytical Modeling of Thermal Resistance in Bolted Joints
نویسندگان
چکیده
An analytical approximate solution is developed for predicting the thermal resistance of bolted joints between two square plates . of the same material but different thicknesses. The plates are assumed to have perfectly flat and smooth surfaces, and they are joined by a bolted connection at the center of the square, forming a concentric annular contact region at the interface. The entire surface area of the plates are insulated, except for the surfaces where the heat source/sink is applied and where the interracial contact is formed. The heat flows from one edge of a plate to the opposite edge of the other plate through the contact area. The results are presented over a wide range of variables commonly found in most electronic packaging applications. Comparisons with published numerical results show excellent agreement, and satisfactory to good agreement is obtained between the analytical predictions and” experimental data. N O M E N CL AT U R E a bolt-hole radius, m b plate radius, m c contact radius, m d washer or pressure radius, m j. factor given by Eq. (7) J,, x Bessel functions of the first and second kinds of order i k thermal conductivity, W/mK L plate dimension, m qo. q2 heat-flux specified surfaces R thermal resistance, OC/W r radial coordinate, m 115 To, T1, T2 temperature specified surfaces t plate thickness, m
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