Topology Optimization on 2-manifolds for Fluid Problems

This book focuses on topology optimization on 2-manifolds. Theory, numerical implementation and applications have been addressed, with more weight placed on practical applications in fluid problems. This is achieved by providing an in-depth study on several major topics such as topology optimization, differential geometry, finite element method, fluid mechanics and micro/nano-fabrication. Four positioning application cases are studied in detail, which are wettability, surface flow, mass transfer and heat transfer. The comprehensive and systematic treatment of practical issues in topology optimization on 2-manifolds is one of the major features of the book, which is particularly suited for readers who are interested to learn practical solutions in topology optimization of structural patterns on curved surfaces. This book benefits researchers, engineers, and graduate students in the fields of structural optimization, mechanical engineering, fluid mechanics, micro/nano-technology, etc.