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We present a continuum approach to model segregation of size-bidispersegranular materials in unsteady bounded heap flow as a prototype for modelingsegregation in other time varying flows. In experiments, a periodicallymodulated feed rate produces stratified segregation like that which occurs dueto intermittent avalanching, except with greater layer-uniformity and higheraverage feed rates. Using an advection-diffusion-segregation equation andcharacterizing transient changes in deposition and erosion after a feed ratechange, we model stratification for varying feed rates and periods. Feed ratemodulation in heap flows can create well-segregated layers, which effectivelymix the deposited material normal to the free surface at lengths greater thanthe combined layer-thickness. This mitigates the strong streamwise segregationthat would otherwise occur at larger particle-size ratios and equivalent steadyfeed rates and can significantly reduce concentration variation during hopperdischarge. Coupling segregation, deposition and erosion is challenging but hasmany potential applications.

Modeling Stratified Segregation in Periodically Driven Granular Heap Flow