@article{(Open Science Index):https://publications.waset.org/pdf/16581, title = {Slip Effect Study of 4:1 Contraction Flow for Oldroyd-B Model}, author = {N. Thongjub and B. Puangkird and V. Ngamaramvaranggul}, country = {}, institution = {}, abstract = {The numerical simulation of the slip effect via vicoelastic fluid for 4:1 contraction problem is investigated with regard to kinematic behaviors of streamlines and stress tensor by models of the Navier-Stokes and Oldroyd-B equations. Twodimensional spatial reference system of incompressible creeping flow with and without slip velocity is determined and the finite element method of a semi-implicit Taylor-Galerkin pressure-correction is applied to compute the problem of this Cartesian coordinate system including the schemes of velocity gradient recovery method and the streamline-Upwind / Petrov-Galerkin procedure. The slip effect at channel wall is added to calculate after each time step in order to intend the alteration of flow path. The result of stress values and the vortices are reduced by the optimum slip coefficient of 0.1 with near the outcome of analytical solution. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {7}, number = {8}, year = {2013}, pages = {1334 - 1341}, ee = {https://publications.waset.org/pdf/16581}, url = {https://publications.waset.org/vol/80}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 80, 2013}, }