Analytical solution of problems in heat transfer for pyramidal spines using Computer Algebra

: The solution of the equation of heat transfer for pyramidal spines is obtained using computer algebra software. We consider pyramidal spines with three different sectional areas: triangle, square and pentagon. The solutions are given in terms of Bessel functions. From the temperature profiles that were obtained it is possible to deduce explicit formulas for the efficiency of the spine. The results that we derive here can be applied to the design of cooling systems of electronic circuits.

• Type: Conference
• Year: 2006
• Where: CSC
• Authors: Juan Felipe Paschke, Juan Ospina
• Keywords: Bessel Functions, CSC 2006, CSC 2007, Heat Transfer, Pyramidal Spines