Three-dimensional computations of solution hydrodynamics during the growth of potassium dihydrogen phosphate II. Spin down

Andrew Yeckel; Yuming Zhou; Michael Dennis; Jeffrey J. Derby

doi:10.1016/S0022-0248(98)00102-X

Three-dimensional computations of solution hydrodynamics during the growth of potassium dihydrogen phosphate II. Spin down

Andrew Yeckel, Yuming Zhou, Michael Dennis, Jeffrey J. Derby

Chemical Engineering and Materials Science

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44 Scopus citations

Abstract

Three-dimensional, time-dependent flows that occur in the Lawrence Livermore National Laboratory system for rapid growth of potassium dihydrogen phosphate (KDP) crystals from solution are studied using massively parallel finite element computations. The simulation reveals that excellent global mixing occurs during the spin-down phase of a time-dependent stirring cycle. The large scale fluid motions in the radial and axial directions that promote mixing are caused primarily by effects of platform geometry, but are augmented to some degree by the intrinsic tendency of a decelerating rotational flow to reverse direction within Ekman layers that form at the boundaries. Along with Part I of this work [Y. Zhou, J.J. Derby, J. Crystal Growth 180 (1997) 497], which emphasized spin up and steady rotation, significant advances have been made in our understanding of hydrodynamic phenomena in this system.

Original language	English (US)
Pages (from-to)	206-224
Number of pages	19
Journal	Journal of Crystal Growth
Volume	191
Issue number	1-2
DOIs	https://doi.org/10.1016/S0022-0248(98)00102-X
State	Published - Jul 1 1998

Bibliographical note

Funding Information:
Portions of this work were presented at the Second International Workshop on Modelling in Crystal Growth in Durbuy, Belgium, 13–16 October 1996; participation in this workshop by AY and JJD, was enabled by a grant from the National Science Foundation, Division of International Programs.

Funding Information:
The authors wish to thank L.J. Atherton, J.J. DeYoreo, H. Robey, and N.P. Zaitseva of Lawrence Livermore National Laboratory for significant technical discussions pertaining to this research. We also thank a reviewer for suggestions improving our initial presentation of the results. The authors would also like to acknowledge important comments by a reviewer that improved the manuscript. This work was supported in part by the National Science Foundation, under grant CTS-9218842, and by the Lawrence Livermore National Laboratory. Computational resources were provided by the University of Minnesota Supercomputer Institute and the Army High Performance Computing Research Center under the auspices of the Department of the Army, Army Research Laboratory cooperative agreement DAAH04-95-2-0003/contract DAAH04-95-C-0008, the content of which does not necessarily reflect the position or policy of the government, and no official endorsement should be inferred.

Keywords

Finite element model
Fluid flow
Solution growth

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10.1016/S0022-0248(98)00102-X

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abstract = "Three-dimensional, time-dependent flows that occur in the Lawrence Livermore National Laboratory system for rapid growth of potassium dihydrogen phosphate (KDP) crystals from solution are studied using massively parallel finite element computations. The simulation reveals that excellent global mixing occurs during the spin-down phase of a time-dependent stirring cycle. The large scale fluid motions in the radial and axial directions that promote mixing are caused primarily by effects of platform geometry, but are augmented to some degree by the intrinsic tendency of a decelerating rotational flow to reverse direction within Ekman layers that form at the boundaries. Along with Part I of this work [Y. Zhou, J.J. Derby, J. Crystal Growth 180 (1997) 497], which emphasized spin up and steady rotation, significant advances have been made in our understanding of hydrodynamic phenomena in this system.",

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note = "Funding Information: Portions of this work were presented at the Second International Workshop on Modelling in Crystal Growth in Durbuy, Belgium, 13–16 October 1996; participation in this workshop by AY and JJD, was enabled by a grant from the National Science Foundation, Division of International Programs. Funding Information: The authors wish to thank L.J. Atherton, J.J. DeYoreo, H. Robey, and N.P. Zaitseva of Lawrence Livermore National Laboratory for significant technical discussions pertaining to this research. We also thank a reviewer for suggestions improving our initial presentation of the results. The authors would also like to acknowledge important comments by a reviewer that improved the manuscript. This work was supported in part by the National Science Foundation, under grant CTS-9218842, and by the Lawrence Livermore National Laboratory. Computational resources were provided by the University of Minnesota Supercomputer Institute and the Army High Performance Computing Research Center under the auspices of the Department of the Army, Army Research Laboratory cooperative agreement DAAH04-95-2-0003/contract DAAH04-95-C-0008, the content of which does not necessarily reflect the position or policy of the government, and no official endorsement should be inferred. ",

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Three-dimensional computations of solution hydrodynamics during the growth of potassium dihydrogen phosphate II. Spin down

Abstract

Bibliographical note

Keywords

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