Fundamental equations for the analysis of plane flow of elastic-viscous fluid are established. On such a basis, a perturbed-weighted residual finite element model for small Deborah number situations is formulated. The model is further incorporated for investigations on the behavioral characteristics of the elastic-viscous fluid flow when passing an obstacle, which include the mechanisms of the retardation of separation point, and the reduction of drag forces and so forth. The numerical investigations demonstrate the favorable advantages of the present model in its remarkable simplicity and reasonable accuracy attained in plane flow analysis.
elastic-viscous fluid fluid passing an obstacle retardation of separation point reduction of drag force perturbation FEM
This is a preview of subscription content, log in to check access.
Zana, E., F. Tiefenbruck and L.G. Leal, A note on the creeping motion of a viscoelastic fluid past a sphere,Rheol. Acta,14 (1975), 891–898.CrossRefGoogle Scholar
Sigli, D. and M. Coutanceau, Effect of finite boundaries on the slow laminar isothermal flow of a viscoelastic fluid around a spherical obstacle,J. Non-Newtonian Fluid Mech.,2 (1977), 1–21.CrossRefGoogle Scholar
Gudazhi and R.I. Tanner, The drag on a sphere in a power-law fluid,J. Non-Newtonian Fluid Mech.,17 (1985), 1–12.CrossRefGoogle Scholar
Manero, O. and B. Mena, On the slow flow of viscoelastic liquids past a circular cylinder,J. Non-Newtonian Fluid Mech.,9 (1981), 379–387.CrossRefGoogle Scholar
Luikov, Av., Zp. Shulman and Si Puris,J. Engg. Physics,14 (1968), 11–28.Google Scholar