The Oldroyd-B fluid has become the starting point for almost all complex flow calculations and analysis involving behavior of dilute polymer solutions. reasons this are clear: based on kinetic theory high molecular weight “phantom” chains near equilibrium, resulting model, in its simplest form, produces a single mode description solution constitutive equation terms symmetric dyad order paramete...

A mathematical model is proposed to describe the flow, heat, and mass transfer behaviour of a non-Newtonian (Jeffrey Oldroyd-B) fluid over stretching sheet. Moreover, similarity solution given for steady two-dimensional flow subjected Buongiorno’s theory investigate nature magnetohydrodynamics (MHD) in porous medium, utilizing local thermal non-equilibrium conditions (LTNE). The LTNE based on e...

We consider the finite element approximation of the Oldroyd-B system of equations, which models a dilute polymeric fluid, in a bounded domain D ⊂ R, d = 2 or 3, subject to no flow boundary conditions. Our schemes are based on approximating the velocity field with continuous piecewise quadratics and either (a) piecewise constants or (b) continuous piecewise linears for the pressure and the symme...