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

Journal Article · · Computers and Fluids
 [1];  [1];  [1];  [2]
  1. Univ. of New Mexico, Albuquerque, NM (United States).
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

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.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1498769
Alternate ID(s):
OSTI ID: 1636158
Report Number(s):
SAND2018--4957J; 662963
Journal Information:
Computers and Fluids, Journal Name: Computers and Fluids Journal Issue: C Vol. 180; ISSN 0045-7930
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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