abstract
- © 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.The heat conduction in steady state is one of the problems of analysis commonest in the study of the diverse associated physical phenomena to heat transference in many processes. In this work, the two-dimensional heat conduction of rectangular coordinates on a square plate is analyzed. The system under consideration is a mixture of metallic nano-sized particles and conventional heat-transferring fluid. In this sense, a mathematical optimization model is proposed to get the optimal distribution of the nanoparticles within the base fluid allowing minimizing the resistance to heat transfer in the system as an objective function and with this improving the thermal performance of the nanofluid. Considering that the nanofluids performance counts on nanoparticle configuration. In addition, Neumann and Dirichlet boundary conditions are considered as restrictions of the problem. For the numerical formulation, the finite difference method in Matlab® is used.