کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
519444 867665 2013 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution of the Ericksen–Leslie dynamic equations for two-dimensional nematic liquid crystal flows
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Numerical solution of the Ericksen–Leslie dynamic equations for two-dimensional nematic liquid crystal flows
چکیده انگلیسی

A finite difference method for solving nematic liquid crystal flows under the effect of a magnetic field is developed. The dynamic equations of nematic liquid crystals, given by the Ericksen–Leslie dynamic theory, are employed. These are expressed in terms of primitive variables and solved employing the ideas behind the GENSMAC methodology (Tomé and McKee, 1994; Tomé et al., 2002) [38] and [41]. These equations are nonlinear partial differential equations consisting of the mass conservation equation and the balance laws of linear and angular momentum. By employing fully developed flow assumptions an analytic solution for steady 2D-channel flow is found. The resulting numerical technique was then, in part, validated by comparing numerical solutions against this analytic solution. Convergence results are presented. To demonstrate the capabilities of the numerical method, the flow of a nematic liquid crystal through various complex geometries are then simulated. Results are obtained for L-shaped channels and planar 4:1 contraction for several values of Reynolds and Ericksen numbers.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 247, 15 August 2013, Pages 109–136
نویسندگان
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