Rectilinear migration of a drop in a nonlinear thermal gradient
The studies hitherto on thermocapillary migration of isolated drops/bubble in a vertical temperature gradient are for the case of linear temperature gradient when the experimental apparatus reaches steady state. The purpose of this study is to quantitate the effect of nonlinear temperature gradient that affects the thermocapillary stress among other things. A good example of this is during the unsteady thermocapillary migration of an isolated immiscible drop that slowly migrates subject to an impulsive interfacial temperature gradient. All other physical properties such as viscosity, heat capacity, density, and thermal conductivity are assumed invariant with temperature and the interfacial tension varies linearly with temperature for the fluid such as silicone oil. The problem requires a numerical solution. The solution was obtained using fourth order Rung Kutta method. The solution was bonded by the asymptotic solutions at short distances and large distances. This analysis can be extended for the periodic temperature profile maintained at the warm pole at sustained state when the thermocapillary motion in microgravity limits is expected to exhibit the yo yo or quasi periodic structure. The findings are applicable to materials that exhibit a nonlinear interfacial tension gradient with temperature and can be studied in the steady state limit of the temperature gradient. The ongoing study is to include the viscosity variation with temperature of the continuous fluid.
- Research Organization:
- George Mason Univ., Fairfax, VA (US)
- OSTI ID:
- 20002403
- Report Number(s):
- CONF-990805-; TRN: IM200002%%403
- Resource Relation:
- Conference: 33rd National Heat Transfer Conference NHTC'99, Albuquerque, NM (US), 08/15/1999--08/17/1999; Other Information: PBD: 1999; Related Information: In: Proceedings of the 33rd national heat transfer conference NHTC'99, by Jensen, M.K.; Di Marzo, M. [eds.], [1150] pages.
- Country of Publication:
- United States
- Language:
- English
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