Free boundaries in viscous flows
著者
書誌事項
Free boundaries in viscous flows
（The IMA volumes in mathematics and its applications, v. 61）
Springer-Verlag, c1994
- : us
- : gw
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注記
"Proceedings of a workshop which was an integral part of the 1990-91 IMA program on "Phase Transitions and Free Boundaries""--Foreword
Includes bibliographical references
内容説明・目次
- 巻冊次
-
: us ISBN 9780387942537
内容説明
It is increasingly the case that models of natural phenomena and materials processing systems involve viscous flows with free surfaces. These free boundaries are interfaces of the fluid with either second immiscible fluids or else deformable solid boundaries. The deformation can be due to mechanical displacement or as is the case here, due to phase transformation; the solid can melt or freeze. This volume highlights a broad range of subjects on interfacial phenomena. There is an overview of the mathematical description of viscous free-surface flows, a description of the current understanding of mathematical issues that arise in these models and a discussion of high-order-accuracy boundary-integral methods for the solution of viscous free surface flows. There is the mathematical analysis of particular flows: long-wave instabilities in viscous-film flows, analysis of long-wave instabilities leading to Marangoni convection, and de scriptions of the interaction of convection with morphological stability during directional solidification. This book is geared toward anyone with an interest in free-boundary problems, from mathematical analysts to material scientists; it will be useful to applied mathematicians, physicists, and engineers alike.
目次
Mathematical description of viscous free surface flows.- Theoretical issues arising in the modeling of viscous free-surface flows.- High order boundary integral methods for viscous free surface flows.- Long wave instability of viscous liquid free surface due to anomalous Marangoni effect.- Long-wave interfacial instabilities in viscous liquid films.- Convective and morphological stability during directional solidification of the succinonitrile-acetone system.
- 巻冊次
-
: gw ISBN 9783540942535
内容説明
It is increasingly the case that models of natural phenomena and materials processing systems involve viscous flows with free surfaces. These free boundaries are interfaces of the fluid with either second immiscible fluids or else deformable solid boundaries. The deformation can be due to mechanical displacement or as is the case here, due to phase transformation; the solid can melt or freeze. This volume highlights a broad range of subjects on interfacial phenomena. There is an overview of the mathematical description of viscous free-surface flows, a description of the current understanding of mathematical issues that arise in these models and a discussion of high-order-accuracy boundary-integral methods for the solution of viscous free surface flows. The mathematical analysis of particular flows is described, including long-wave instabilities in viscous-film flows, long-wave instabilities leading to Marangoni convection, and the interaction of convection with morphological stability during directional solidification.
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