Determination of interfacial heat-transfer boundary conditions in an aluminum low-pressure permanent mold test casting

2004 ◽  
Vol 35 (2) ◽  
pp. 299-311 ◽  
Author(s):  
Joy A. Hines
1983 ◽  
Vol 105 (3) ◽  
pp. 317-320 ◽  
Author(s):  
S. K. Hati ◽  
S. S. Rao

The optimum design of an one-dimensional cooling fin is considered by including all modes of heat transfer in the problem formulation. The minimum principle of Pontryagin is applied to determine the optimum profile. A new technique is used to solve the reduced differential equations with split boundary conditions. The optimum profile found is compared with the one obtained by considering only conduction and convection.


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