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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Quantitative Phase Field Modelling of Solidification

Quantitative Phase Field Modelling of Solidification

Provatas, Nikolas
Pinomaa, Tatu
Ofori-Opoku, Nana

Paperback

Technology & EngineeringPhysics

ISBN10: 1032068884
ISBN13: 9781032068886
Publisher: CRC Press
Published: Jan 29 2024
Pages: 174
Weight: 0.60
Height: 0.40 Width: 6.14 Depth: 9.21
Language: English

This book presents a study of phase field modelling of solidification in metal alloy systems. It is divided in two main themes. The first half discusses several classes of quantitative multi-order parameter phase field models for multi-component alloy solidification. These are derived in grand potential ensemble, thus tracking solidification in alloys through the evolution of the chemical potentials of solute species rather than the more commonly used solute concentrations. The use of matched asymptotic analysis for making phase field models quantitative is also discussed at length, and derived in detail in order to make this somewhat abstract topic accessible to students. The second half of the book studies the application of phase field modelling to rapid solidification where solute trapping and interface undercooling follow highly non-equilibrium conditions. In this limit, matched asymptotic analysis is used to map phase field evolution equations onto the continuous growth model, which is generally accepted as a sharp-interface description of solidification at rapid solidification rates.

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