Optimization of Finpack Design for Finned Cylinder with Nonuniform Heat Flux Applied to the Inner Surface 2004-32-0082

An axisymmetric one-dimensional finite difference model has been developed to investigate the optimization of external fins on a cylindrical tube with a non-uniform heat flux applied to the inner surface. The heat flux boundary condition applied to the inner surface was determined from detailed 3-dimensional calculations using the KIVA code. The external convective boundary condition was determined from published correlations. This model encompasses the basic geometry of an air-cooled engine cylinder. The model was computationally efficient and allowed for the optimization of the fin length of each fin and its location. A genetic algorithm optimization procedure was utilized. The results show that optimum usage of material is obtained from fins of comparable length distributed over the entire outer cylinder, in spite of the concentrated heat flux at the upper end of the cylinder. The results indicate the important role of axial conduction in the thermal energy balance of this system. The tradeoff between material usage and maximum temperature was demonstrated by changing the merit function used for optimization.