The New Jersey Institute of Technology's
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Title:	Direct computations of marangoni driven flows using a volume of fluid method
Author:	Seric, Ivana
View Online:	njit-etd2017-095 (xx, 121 pages ~ 4.4 MB pdf)
Department:	Department of Mathematical Sciences
Degree:	Doctor of Philosophy
Program:	Mathematical Sciences
Document Type:	Dissertation
Advisory Committee:	Afkhami, Shahriar (Committee co-chair) Kondic, Lou (Committee co-chair) Cummings, Linda Jane (Committee member) Rack, Philip D. (Committee member) Shirokoff, David (Committee member)
Date:	2017-08
Keywords:	Marangoni flows Surface tension Computational Fluid Dynamics Nanoflows Liauid metals Drops
Availability:	Unrestricted
Abstract:	The volume of fluid (VoF) interface tracking methods have been used for simulating a wide range of interfacial flows. An improved accuracy of the surface tension force computation has enabled the VoF method to become widely used for simulating flows driven by the surface tension force. A general methodology for the inclusion of variable surface tension coefficient into a VoF based Navier-Stokes solver is developed. This new numerical model provides a robust and accurate method for computing the surface gradients directly by finding the tangent directions on the interface using height functions. The implementation applies to both temperature and concentration dependent surface tension coefficient, along with the setups involving a large jump in the temperature between the fluid and its surrounding, as well as the situations where the concentration should be strictly confined to the fluid domain, such as the mixing of fluids with different surface tension coefficients. The accuracy and convergence of the surface gradient computation are presented for various geometries, and for a classical problem of the thermocapillary migration of bubbles. The study of several applications of variable surface tension flows is presented, such as the breakup of liquid metal films and filaments, and the coalescence of drops characterized by different surface tension.