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Application of differential quadrature method to solve entry flow of viscoelastic second‐order fluid
Author(s) -
JianAn Sun,
ZhengYou Zhu
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990830)30:8<1109::aid-fld883>3.0.co;2-y
Subject(s) - viscoelasticity , quadrature (astronomy) , nyström method , mathematics , numerical analysis , perturbation (astronomy) , vorticity , mathematical analysis , fluid–structure interaction , fluid dynamics , numerical integration , mechanics , physics , integral equation , finite element method , vortex , quantum mechanics , optics , thermodynamics
The entry flow of viscoelastic second‐order fluid between two parallel plates is discussed. The governing equations of vorticity and the streamfunction are expanded with respect to a small parameter that characterizes the elasticity of the fluid by means of the standard perturbation method. By using the differential quadrature method with only a few grid points, high‐accurate numerical solutions are obtained. The numerical results show a lot of the features of a viscoelastic second‐order fluid. Copyright © 1999 John Wiley & Sons, Ltd.