A Variational Formulation for Fins with Nonzero Contact Thermal Resistance at the Base

This paper considers the steady-state heat transfer process in a fin with Robin boundary condition at base (instead of usual Dirichlet base). models effect thermal resistance between and surface on which is placed. work presents an equivalent minimum principle, represented by convex coercive functional, ensuring solution’s existence uniqueness. In order to illustrate use proposed functional for reaching approximations, heat-transfer trapezoidal considering piecewise linear approximation simulated. The Appendix case exact solution closed form has been achieved.