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Surface tension and buoyancy-driven flow in a non-isothermal liquid bridgeThe Navier-Stokes-Boussinesq equations governing the transport of momentum, mass and heat in a nonisothermal liquid bridge with a temperature-dependent surface tension are solved using a vorticity-stream-function formulation together with a nonorthogonal coordinate transformation. The equations are discretized using a pseudo-unsteady semi-implicit finite difference scheme and are solved by the ADI method. A Picard-type iteration is adopted which consists of inner and outer iterative processes. The outer iteration is used to update the shape of the free surface. Two schemes have been used for the outer iteration; both use the force balance normal to the free surface as the distinguished boundary condition. The first scheme involves successive approximation by the direct solution of the distinguished boundary condition. The second scheme uses the artificial force imbalance between the fluid pressure, viscous and capillary forces at the free surface which arises when the boundary condition for force balance normal to the surface is not satisfied. This artificial imbalance is then used to change the surface shape until the distinguished boundary condition is satisfied. These schemes have been used to examine a variety of model liquid bridge situations including purely thermocapillary-driven flow situations and mixed thermocapillary- and bouyancy-driven flow.
Document ID
19920040629
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Zhang, Yiqiang
(NASA Marshall Space Flight Center Huntsville, AL, United States)
Alexander, J. I. D.
(Alabama, University Huntsville, United States)
Date Acquired
August 15, 2013
Publication Date
January 30, 1992
Publication Information
Publication: International Journal for Numerical Methods in Fluids
Volume: 14
ISSN: 0271-2091
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
92A23253
Funding Number(s)
CONTRACT_GRANT: NAG8-724
Distribution Limits
Public
Copyright
Other

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