Simulation of Oldroyd-B Viscoelastic Fluid in Axisymmetric Straight Channel by Using a Hybrid Finite Element/Volume Method

In this study, incompressible viscoelastic fluid through the axisymmetric circular channel is simulated with Oldroyd-B model. The simulation performed based on a hybrid finite volume/element method, which consists of Taylor-Galerkin element discretisation, and cell vertex fluctuation-distribution volume method. context, momentum continuity equations are treated while approach applied to solve constitutive Analytical expressions presented for velocity stress components in fully developed flow fluid. For complex fluid, we see an excellent agreement between analytic numerical solutions. study problem method represents great challenge. novelty here temporal convergence-rate system solution that taken be steady state, incompressible, axisymmetric, laminar, did not address by researchers previously. Here, rate convergence all presented, where large level appeared compared other components. Moreover, pressure drops response across provided respect difference solvent-fraction Weissenberg number . A significant effect from parameters upon has been detected, change semi-modest. findings reveal that, decreasing , maxima strongly amplifies.