Description
This presentation focuses on a shape optimization method
applied to fluid-to-fluid heat exchangers with Ventcell boundary conditions. We
cosider a framework of two fluids separeted by a thin layer, where the Ventcell type
boundary condition is got through an asymptotic analysis of order two of the
transmission problem at the thin layer interfaces with respect to the thickness
parameter. Due to this approximation, the multi-physics problem is reduces as a
weak-coupled problem, between the steady-state Navier-Stokes equations for the
two fluids dynamics and the convection-diffusion equation for the heat. We
characterize the shape derivative for the objective functionals and perform
numerical simulations in two and three dimensions to obtain an optimum heat
exchanger.
