Temperature Response of a Heated Cylinder Subject to Side Cooling: Asymptotic and Numerical Solutions

The temperature response of a cylinder, subject to heat input at one end and heat loss from its side by radiation and natural convection, is studied analytically and numerically. A singular perturbation expansion gives the limiting case of large heat flux. The governing equations for arbitrary heat flux are solved numerically. The results of this investigation are useful for application to the microelectronic interconnection process using the ball bonding technique.