Recent progress in modeling of transport phenomena during dendritic alloy solidification is reviewed. Starting from the basic theorems of volume averaging, a general multiphase modeling framework is outlined. This framework allows for the incorporation of a variety of microscale phenomena in the macroscopic transport equations. For the case of diffusion dominated solidification, a simplified set of model equations is examined in detail and validated through comparisons with numerous experimental data for both columnar and equiaxed dendritic growth. This provides a critical assessment of the various model assumptions. Models that include melt flow and solid phase transport are also discussed, although their validation is still at an early stage. Several numerical results are presented that illustrate some of the profound effects of convective transport on the final compositional and structural characteristics of a solidified part. Important issues that deserve continuing attention are identified. Beckermann, C. and deGroh, H. C., III Glenn Research Center SOLIDIFICATION; BINARY ALLOYS; DENDRITIC CRYSTALS; MICROSTRUCTURE; MACROSCOPIC EQUATIONS; MODELS; TRANSPORT PROPERTIES; SOLID PHASES; MELTING; CONVECTION; DIFFUSION; LIQUID-SOLID INTERFACES; THERMAL CONDUCTIVITY; SPECIFIC HEAT; TEMPERATURE GRADIENTS; NUCLEATION...