TY - JOUR
T1 - A numerical method for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field
AU - Cruz, P.A.
AU - Tome, M.F.
AU - Stewart, I.W.
AU - McKee, S.
PY - 2010
Y1 - 2010
N2 - A finite difference technique, based on a projection method, is developed for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field. The governing equations in this situation are derived using primitive variables and are solved using the ideas behind the GENSMAC methodology (Tomé and McKee [32]; Tomé et al. [34]). The resulting numerical technique is then validated by comparing the numerical solution against an analytic solution for steady three-dimensional flow between two-parallel plates subject to a strong magnetic field. The validated code is then employed to solve channel flow for which there is no analytic solution.
AB - A finite difference technique, based on a projection method, is developed for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field. The governing equations in this situation are derived using primitive variables and are solved using the ideas behind the GENSMAC methodology (Tomé and McKee [32]; Tomé et al. [34]). The resulting numerical technique is then validated by comparing the numerical solution against an analytic solution for steady three-dimensional flow between two-parallel plates subject to a strong magnetic field. The validated code is then employed to solve channel flow for which there is no analytic solution.
KW - Three-dimensional flow
KW - Ericksen–Leslie equations
KW - Nematic liquid crystal
KW - Finite difference
KW - Analytic solution
UR - http://www.scopus.com/inward/record.url?scp=73949141014&partnerID=8YFLogxK
UR - http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TGV-4XGBFXX-1&_user=875629&_coverDate=02%2F28%2F2010&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1496535041&_rerunOrigin=google&_acct=C000046979&_version=
UR - http://dx.doi.org/10.1016/j.jnnfm.2009.10.007
U2 - 10.1016/j.jnnfm.2009.10.007
DO - 10.1016/j.jnnfm.2009.10.007
M3 - Article
SN - 0377-0257
VL - 165
SP - 143
EP - 157
JO - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
IS - 3-4
ER -