Os microdispositivos são essenciais para o transporte controlado e preciso de fluidos. O transporte controlado de pequenas quantidades de fluidos é fundamental para desenvolver os laboratórios químicos em um chip (Lab-On-a-Chip, ou LOC, em inglês), ou seja, sistemas miniaturizados de crescente utilização na análise em áreas como Química, Bioquímica, Farmácia e Biologia, que tendem a substituir os atuais equipamentos analíticos. It should serve as a rigorous introduction to SPH and a reference for fundamental mathematical fluid dynamics. Despite the rapid growth in the SPH field, this book is the first to present this method in a comprehensive way for fluids. Applications to schematic instances are then discussed ultimately, practical applications to the dimensioning of coastal and fluvial structures are considered.

Various numerical schemes are compared, permanently referring to physics as dealt with in the first part. The second part discloses the bases of the SPH Lagrangian numerical method from the continuous equations, as well as from discrete variational principles, setting out the method's specific properties of conservativity and invariance. The continua are then discussed lastly, a fairly exhaustive account of turbulence is given. The specific laws governing a system of macroscopic particles are built, then the large systems involving dissipative processes are explained. The first, dealing with the fundamentals of Hydraulics, is based on the elementary principles of Lagrangian and Hamiltonian mechanics. It comprises two parts that refer to each other. This book aims at presenting the SPH method for fluid modelling from a theoretical and applied viewpoint.

Fluid mechanics and the sph method