|
Archive.uky.edu >
The Graduate School (ETDs) >
Electronic Theses and Dissertations >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10225/409
|
| Title: | TWO-DIMENSIONAL SIMULATION OF SOLIDIFICATION IN FLOW FIELD USING PHASE-FIELD MODEL|MULTISCALE METHOD IMPLEMENTATION |
| Authors: | Xu, Ying |
| Keywords: | Solidification
Phase-Field Model
Multiscale Method
Lid-Driven-Cavity Flow
High Reynolds Number |
| Date Created: | 2006 |
| Publisher: | University of Kentucky |
| Abstract: | Numerous e orts have contributed to the study of phase-change problems for over a century|both analytical and numerical. Among those numerical approximations applied to solve phase-transition problems, phase- eld models attract more and more attention because they not only capture two important e ects, surface tension and supercooling, but also enable explicitly labeling the solid and liquid phases and the position of the interface. In the research of this dissertation, a phase- eld model has been employed to simulate 2-D dendrite growth of pure nickel without a ow, and 2-D ice crystal growth in a high-Reynolds-number lid-driven-cavity ow. In order to obtain the details of ice crystal structures as well as the ow eld behavior during freezing for the latter simulation, it is necessary to solve the phase- eld model without convection and the equations of motion on two di erent scales. To accomplish this, a heterogeneous multiscale method is implemented for the phase- eld model with convection such that the phase- eld model is simulated on a microscopic scale and the equations of motion are solved on a macroscopic scale. Simulations of 2-D dendrite growth of pure nickel provide the validation of the phase- eld model and the study of dendrite growth under di erent conditions, e.g., degree of supercooling, interface thickness, kinetic coecient, and shape of the initial seed. In addition, simulations of freezing in a lid-driven-cavity ow indicate that the ow eld has great e ect on the small-scale dendrite structure and the ow eld behavior on the large scale is altered by freezing inside it. |
| URI: | http://hdl.handle.net/10225/409 |
| Appears in Collections: | Electronic Theses and Dissertations
|
Files in This Item:
| File |
Size | Format |
|---|
| YingXu_Dissertation_2006.pdf | 35779Kb | Adobe PDF | View/Open |
|
This item is protected by original copyright
|
Items in the archive are protected by copyright, with all rights reserved, unless otherwise indicated.
|
