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International Journal of Information Technology & Computer Science ( IJITCS )

Abstract :

The numerical finite element method of Newtonian fluid through the abrupt 4:1 contraction flow of rounded corner geometry was studied by forcing inlet boundary with pressure-driven velocity flow. The kinematic behaviors of flow were observed from streamline path, shear stress value and vortex size with a models of Navier-Stokes equation in two-dimensional planar isothermal incompressible creeping flow with no-slip condition. Pressure driven condition at inlet boundary was enforced each time step to achieve the accurate result and made the outcome more secure. The solution was attained via semi-implicit Taylor-Galerkin pressure-correction scheme before the treatment of streamline-Upwind/Petrov-Galerkin and velocity gradient recovery are employed to confirm the stability. The benchmark of velocity for each mesh patterns before and after treatment of drag velocity was displayed via visualization of color contours. Finally the presentation of line contours for streamline was depicted to reflect the vortex size.

Keywords :

: pressure-driven velocity flow; 4:1 contraction flow; rounded corner; fractional step; feedback.

References :

  1. D.V. Boger and A.V. Ramamurthy, “Flow of viscoelastic fluids though an abrupt contraction”, Rheol. Acta., vol.11, pp.61-69, 1971.
  2. D.V. Boger and M.M. Denn, “Capillary and slit methods of normal stress measurements”, J. Non-Newtonian Fluid Mech., vol. 6, pp.163-185, 1980.
  3. K. Walters and D.M. Rawlinson, On some contraction flows for Boger fluid, Rheol. Acta, vol.21, pp.547-552, 1982.
  4. D.V. Boger, “Viscoelastic flows through contractions” , Ann. Rev. Fluid Mech, vol.19 , pp.157–182, 1987.
  5. T.N. Phillips and A.J. Williams, “Viscoelastic flow through a planar contraction using a semi-Lagrangian finite volume method”, J. Non-Newtonian Fluid Mech, vol.87, pp.215–246, 1999.
  6. T.N. Phillips and A.J. Williams, “Comparison of creeping and inertial flow of an Oldroyd B fluid through planar and axisymmetric contractions”, J. Non-Newtonian Fluid Mech, vol.108, pp.25–47, 2002.
  7. M. Aboubacar and M.F. Webster, “A cell-vertex finite volume/element method on triangles for abrupt contraction viscoelastic flows”, J. Non-Newtonian Fluid Mech, vol.98, pp.83–106, 2001.
  8. M. Aboubacar, H. Matallah, and M.F. Webster, “Highly elastic solutions for Oldroyd-B and Phan-Thien/Tanner fluids with a finite volume/element method : planar contraction flows”, J. Non-Newtonian Fluid Mech, vol.103 , pp.65–103, 2002.
  9. M.A. Alves, D. Torres, and M.P. Goncalves, P.J. Oliverira and F.T. Pinho, “On the effect of contraction ratio in viscoelastic flow through abrupt contractions”, J. Non-Newtonian Fluid Mech, vol.122, pp.117–130, 2004.
  10. V. Ngamaramvaranggul and M.F. Webster, “Simulation of coating flows with slip effects”, Int. J. Num. Meth. Fluids, vol.33, pp.961-992, 2000.
  11. V. Ngamaramvaranggul and M.F. Webster, “Viscoelastic simulation of stick-slip and die-swell flows”, Int. J. Num. Meth. Fluids, vol.36, pp.539-595, 2001.
  12. F. Belblidia, H. Matallah, B. Puangkird, and M.F. Webster, “Alternative subcell discretisations for viscoelastic flow : Stress interpolation”, J. Non-Newtonian Fluid Mech. vol.146, pp.59–78, 2007.
  13. I.J. Keshtibana, B. Puangkird, H. Tamaddon-Jahromia, and M.F. Webster, “Generalised approach for transient computation of start-up pressure-driven viscoelastic flow”, J. Non-Newtonian Fluid Mech. vol.151, pp.2–20, 2008.
  14. N. Thongjub, B. Puangkird, and V. Ngamaramvaranggul, “Simulation of Slip Effect with 4:1 Contraction Flow for Oldroyd-B Fluid”, International Journal of Applied Science and Technology. vol 6, No.3, pp.19-28, 2013.

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