This book gives a detailed and practical introduction to complex flows of polymers and
reinforced polymers as well as the flow of simple fluids in complex microstructures. Over the
last decades an increasing number of functional and structural parts made so far with metals
has been progressively reengineered by replacing metallic materials by polymers reinforced
polymers and composites. The motivation for this substitution may be the weight reduction the
simpler cheaper or faster forming process or the ability to exploit additional
functionalities. The present Brief surveys modern developments related to the multi-scale
modeling and simulation of polymers reinforced polymers that involve a flowing microstructure
and continuous fiber-reinforced composites wherein the fluid flows inside a nearly stationary
multi-scale microstructure. These developments concern both multi-scale modeling defining
bridges between the micro and macro scales - with special emphasis on the mesoscopic scale at
which kinetic theory descriptions apply and advanced simulation techniques able to address
efficiently the ever more complex and detailed models defined at different scales. This book is
addressed to students (Master and doctoral levels) researchers and professionals interested in
computational rheology and material forming processes involving polymers reinforced polymers
and composites. It provides a unique coverage of the state of the art in these
multi-disciplinary fields.