English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We present a mathematical formulation of a multiscale model forsolidification with convective flow in the liquid phase. The model is anextension of the dendritic needle network approach for crystal growth in abinary alloy. We propose a simple numerical implementation based on finitedifferences and step-wise approximations of parabolic dendritic branches ofarbitrary orientation. Results of the two-dimensional model are verifiedagainst reference benchmark solutions for steady, unsteady, and buoyant flow,as well as steady-state dendritic growth in the diffusive regime. Simulationsof equiaxed growth under forced flow yield dendrite tip velocities within 10%of quantitative phase-field results from the literature. Finally, we performillustrative simulations of polycrystalline solidification using physicalparameters for an aluminum-10wt%copper alloy. Resulting microstructures shownotable differences when taking into account natural buoyancy in comparison toa purely diffusive transport regime. The resulting model opens new avenues forcomputationally and quantitatively investigating the influence of fluid flowand gravity-induced buoyancy upon the selection of dendritic microstructures.Further ongoing developments include an equivalent formulation for directionalsolidification conditions and the implementation of the model in threedimensions, which is critical for quantitative comparison to experimentalmeasurements.

Multiscale dendritic needle network model of alloy solidification with fluid flow