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The behavior of unsteady thermocapillary flowsThe thermocapillary-driven flow of a liquid in a shallow slot provides a simple model to explore the effects of free-surface deflection and end walls on the stability of the flow. Such an investigation may be useful in understanding the complex flow seen in processes such as the float-zone refining of single crystals. A linear stability analysis of the viscously-dominated slot flow indicates stable basic states to both tow- and three-dimensional infinitesimal disturbances for capillary numbers below 43.3. Above this capillary number steady solutions do not exist. We also discuss current work involving the development of an inertially-dominated slot-flow model using singular perturbation methods. If these flows are unstable, inertial effects would be the only possible cause of the instability.
Document ID
19950008116
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Vrane, David R.
(Georgia Inst. of Tech. Atlanta, GA, United States)
Smith, Marc K.
(Georgia Inst. of Tech. Atlanta, GA, United States)
Date Acquired
September 6, 2013
Publication Date
August 1, 1994
Publication Information
Publication: NASA. Lewis Research Center, Second Microgravity Fluid Physics Conference
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
95N14530
Funding Number(s)
CONTRACT_GRANT: NAG3-1455
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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