The first polymer blend was patented in 1846 and since then blends have became ubiquitous. Blending may provide a full set of material properties, improving processability and/or specific properties. With the advancement of technology there is the notorious growth of complexity -while in the beginning blending involved two polymers, initially without a compatibilizer, more recent commercial alloys have up to five polymers, three compatibilizers, and frequently are reinforced with macro-or nanoparticles [1].Blends are classified as either thermodynamically miscible or immiscible, with the latter dominating. However, imposition of a flow affects the thermodynamic equi librium and it may enhance the miscibility of immiscible blends or vice-versa -there is an interrelation between rheology and thermodynamics. Similarly, flow affects the degree of deformation of the dispersed phase, thus in immiscible blends there are other interrelations between rheology and morphology, which affect the blend performance. To the complexity of polymer alloys and blends (PAB) behavior one must add the incorporation of solids, either in the form of filler and nanofiller particles or by simple fact of blending two components with widely different transition temperatures.Since the flow of PAB is complex, it is useful to revert to simple models, for example, for miscible blends to solutions or mixtures of polymer fractions, for immiscible blends to emulsions or suspensions, and for compatibilized blends to block copolymers (Table 2.1). It is also advisable to study flow behavior of multiphase systems at constant stress (not at constant deformation rate) [2,3].For miscible blends, the free volume theory predicts a positive deviation from the log-additivity rule (PDB, positively deviating blend). However, depending on the system and method of preparation, these blends may show a positive deviation, negative deviation, or additivity [4]. Upon mixing, the presence of specific interac tions may change the free volume and degree of entanglement, which in turn affect the flow behavior [5,6]. For immiscible blends the flow is similarly affected, but in addition there are at least three contributing phases: of the polymeric matrix, of the First Edition. Edited by Avraam I. Isayev.