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Title: Finite element simulations of viscoelastic flow of blade coating using the log-conformation tensor

Abstract

Previous studies have demonstrated the benefits of the log-conformation formulation to model viscoelastic fluids; it increases stability at high Weissenberg numbers and ensures that the conformation tensor remains positive-definite. Many studies have applied the log-conformation tensor formulation to benchmark cases; however, relatively few studies investigate using the formulation on more complex flows. In this paper, we extend the log-conformation formulation to the manufacturing-relevant flow of blade coating. We first verify the log-conformation formulation on the benchmark problem of flow past a cylinder using the finite element method, and then apply it to the blade-coating process, in which a viscoelastic fluid entrained by a moving substrate passes under a blade at a constant web speed. We investigate various rheological effects and the resulting film thickness for the blade-coating problem, and compare the results from the log-conformation formulation to those of the original stress formulation. To this end, we show that the log-conformation formulation agrees well with other established methods, and also increases the maximum achievable web speed in the blade-coating problem.

Authors:
 [1];  [1];  [1];  [2]
  1. Univ. of New Mexico, Albuquerque, NM (United States).
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1498769
Report Number(s):
SAND2018-4957J
Journal ID: ISSN 0045-7930; 662963
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Computers and Fluids
Additional Journal Information:
Journal Volume: 180; Journal Issue: C; Journal ID: ISSN 0045-7930
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 42 ENGINEERING; Viscoelastic fluids; Log-conformation formulation; Coating flows; Finite element method

Citation Formats

Martin, Richard, Tjiptowidjojo, Kristianto, Ortiz, Weston, and Rao, Rekha. Finite element simulations of viscoelastic flow of blade coating using the log-conformation tensor. United States: N. p., 2018. Web. doi:10.1016/j.compfluid.2018.12.001.
Martin, Richard, Tjiptowidjojo, Kristianto, Ortiz, Weston, & Rao, Rekha. Finite element simulations of viscoelastic flow of blade coating using the log-conformation tensor. United States. doi:10.1016/j.compfluid.2018.12.001.
Martin, Richard, Tjiptowidjojo, Kristianto, Ortiz, Weston, and Rao, Rekha. Mon . "Finite element simulations of viscoelastic flow of blade coating using the log-conformation tensor". United States. doi:10.1016/j.compfluid.2018.12.001. https://www.osti.gov/servlets/purl/1498769.
@article{osti_1498769,
title = {Finite element simulations of viscoelastic flow of blade coating using the log-conformation tensor},
author = {Martin, Richard and Tjiptowidjojo, Kristianto and Ortiz, Weston and Rao, Rekha},
abstractNote = {Previous studies have demonstrated the benefits of the log-conformation formulation to model viscoelastic fluids; it increases stability at high Weissenberg numbers and ensures that the conformation tensor remains positive-definite. Many studies have applied the log-conformation tensor formulation to benchmark cases; however, relatively few studies investigate using the formulation on more complex flows. In this paper, we extend the log-conformation formulation to the manufacturing-relevant flow of blade coating. We first verify the log-conformation formulation on the benchmark problem of flow past a cylinder using the finite element method, and then apply it to the blade-coating process, in which a viscoelastic fluid entrained by a moving substrate passes under a blade at a constant web speed. We investigate various rheological effects and the resulting film thickness for the blade-coating problem, and compare the results from the log-conformation formulation to those of the original stress formulation. To this end, we show that the log-conformation formulation agrees well with other established methods, and also increases the maximum achievable web speed in the blade-coating problem.},
doi = {10.1016/j.compfluid.2018.12.001},
journal = {Computers and Fluids},
number = C,
volume = 180,
place = {United States},
year = {2018},
month = {12}
}

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