文献类型：期刊文献

中文题名：NUMERICAL INVESTIGATION ON EXTRUDATE SWELL FOR VISCOELASTIC FLUID: USING MAXWELL MODEL

英文题名：NUMERICAL INVESTIGATION ON EXTRUDATE SWELL FOR VISCOELASTIC FLUID: USING MAXWELL MODEL

作者：Huang Shu-xin[1];Lu Chuan-jing[1];Jiang Ti-qian[2]

机构：[1]Shanghai Jiao Tong Univ, Dept Engn Mech, Shanghai 200030, Peoples R China;[2]E China Univ Sci & Technol, Sch Chem Engn, Shanghai 200237, Peoples R China

年份：2004

卷号：16

期号：4

起止页码：393

中文期刊名：Journal of Hydrodynamics

外文期刊名：JOURNAL OF HYDRODYNAMICS

收录：CSTPCD;;EI(收录号：2004488687153);Scopus;WOS:【SCI-EXPANDED(收录号:WOS:000208261000004)】；CSCD:【CSCD2011_2012】；

语种：英文

中文关键词：extrudate swell; integral-type maxwell constitutive equation; numericalsimulation; FEM method

外文关键词：extrudate swell; integral-type Maxwell constitutive equation; numerical simulation; FEM method

摘要：The numerical investigation on extrudate swell through capillary die forviscoelastic fluid characteried by integral-type Maxwell constitutive equation was conducted byemploying the finite element method with the calculation of viscoelastic extra stress in theconventional finite element. The method of avoiding singularity was also adopted by integrating thestrain history of the Gauss points for each element near the wall and the free surface. Theconvergence solutions at high Weissenberg number can be obtained by using the appropriate methods toreduce errors and improve the speed of convergence of the calculation, which include adding arelaxation factor of velocity in iteration process, or enlarging the reference viscosity, orreducing the elapsed time. The highest Weissenberg number obtained here is up to 3. 8, while thesolution at the Weissenberg number of 3. 75 was given in the previous work with similar extrudateswell ratio and the exit pressure drop by using differential Maxwell model with Elastic-ViscousStress Split (EVSS) combined with Streamline Upwind Petrov-Galerkin (SUPG) scheme. The calculationsindicated that the method of dealing with integral consti- tutive equation introduced in this paperis suitable in simulating viscoelastic flow characterized by integral constitutive equation at highe-lastic level.
The numerical investigation on extrudate swell through capillary die for viscoelastic fluid characteried by integral-type Maxwell constitutive equation was conducted by employing the finite element method with the calculation of viscoelastic extra stress in the conventional finite element. The method of avoiding singularity was also adopted by integrating the strain history of the Gauss points for each element near the wall and the free surface. The convergence solutions at high Weissenberg number can be obtained by using the appropriate methods to reduce errors and improve the speed of convergence of the calculation, which include adding a relaxation factor of velocity in iteration process, or enlarging the reference viscosity, or reducing the elapsed time. The highest Weissenberg number obtained here is up to 3. 8, while the solution at the Weissenberg number of 3. 75 was given in the previous work with similar extrudate swell ratio and the exit pressure drop by using differential Maxwell model with Elastic-Viscous Stress Split (EVSS) combined with Streamline Upwind Petrov-Galerkin (SUPG) scheme. The calculations indicated that the method of dealing with integral consti- tutive equation introduced in this paper is suitable in simulating viscoelastic flow characterized by integral constitutive equation at high elastic level.