Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


ShamsS.the (final comments 1).pdf (3.77 MB)

ETD Abstract Container

Abstract Header

Modeling and Simulation of Diffusion in Evaporating Polymer Solutions

Shams Es-haghi, Siamak
http://rave.ohiolink.edu/etdc/view?acc_num=akron1430492857

Abstract Details

2015, Master of Science, University of Akron, Applied Mathematics.
Evaporation of solvent from a polymer solution has technological importance in technologies related to painting, coating, inkjet printing, manufacturing polymer films and production of electronic devices. Apart from the vast technological importance, it is one of the fundamental problems of soft condensed matter physics. A mathematical model in the framework of nonequilibrium thermodynamics was developed to describe the evolution of concentration and temperature during evaporation of a solvent in a polymer solution. The governing equations derived from the fundamental equation of classical thermodynamics using the local equilibrium hypothesis, Prigogine’s theorem and Onsager’s reciprocity relations display more complex connection between heat and non-convective mass fluxes than what has been presented in the previous research works. The model developed herein describes evolution of concentration and temperature in an evaporating polymer solution in a thermodynamically consistent way and is able to capture the effect of thermal diffusion in polymer solutions. The derived governing equations which were formulated for a general 3D problem were solved numerically for a 1D solution casting problem using an explicit finite difference scheme. During the evaporation of solvent, the effect of thermal diffusion in polymer solutions manifests itself as an increase in local concentration of the solvent on the warm side of a temperature gradient. The results of the model also can qualitatively capture some experimental observations regarding the Soret effect in polymer solutions.
Gerald Young, Dr. (Advisor)
Patrick Wilber, Dr. (Committee Member)
Curtis Clemons, Dr. (Committee Member)
107 p.
Applied Mathematics; Physics; Polymers

Recommended Citations

Citations

  • Shams Es-haghi, S. (2015). Modeling and Simulation of Diffusion in Evaporating Polymer Solutions [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1430492857

    APA Style (7th edition)

  • Shams Es-haghi, Siamak. Modeling and Simulation of Diffusion in Evaporating Polymer Solutions. 2015. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1430492857.

    MLA Style (8th edition)

  • Shams Es-haghi, Siamak. "Modeling and Simulation of Diffusion in Evaporating Polymer Solutions." Master's thesis, University of Akron, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=akron1430492857

    Chicago Manual of Style (17th edition)

akron1430492857
675
© 2015, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.