Shape Optimization with Ventcel Transmission Condition: Application to the Design of a Heat Exchanger
Abstract
Abstract. This paper aims to optimize the shape of a fluid-to-fluid heat exchanger in order to maximize heat exchange under constraints of energy dissipation and volume. The novelty consists in taking into account the thin layer separating the two fluids by using Ventcel-type second-order transmission conditions. The physical model is then a weakly coupled problem between the steady-state Navier–Stokes equations for the dynamics of the two fluids dynamics and the convection-diffusion equation for the heat. We provide a shape sensitivity analysis and characterize the shape derivatives involved. Finally, we demonstrate the feasibility and effectiveness of the proposed method through three-dimensional numerical simulations.
Fields of Study & Subjects
Manufacturing Process and Optimization
Additive Manufacturing and 3D Printing Technologies
Publication details
- Journal / source
- SIAM Journal on Scientific Computing
- Volume
- 48
- Issue
- 2
- Pages
- B113–B140
- Publication date
- 4 March 2026
- Language
- EN