Sakiadis rheology of a generalised polymeric material, as well heat source or sink and magnetic field, are all part this study. Thermal radiations have been introduced into the convective heating process. The translation physical situation set nonlinear equations was achieved through mathematical modelling. To convert resulting partial differential equation ordinary equations, appropriate trans...

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 c...

The linear stability of plane Poiseuille flow at low Reynolds number of a conducting Oldroyd fluid in the presence of a transverse magnetic field has been investigated numerically. Spectral tau method with expansions in Chebyshev polynomials is used to solve the Orr-Sommerfeld equation. It is found that viscoelastic parameters have destabilizing effect and magnetic field has a stabilizing effec...

Energy theory for incompressible Newtonian fluids is, in many cases, capable of producing strong absolute stability criteria for steady flows. In those fluids the kinetic energy naturally defines a norm in which perturbations decay monotonically in time at sufficiently low (but nonzero) Reynolds numbers. There are, however, at least two obstructions to the generalization of such methods to Oldr...

The Oldroyd-B model has been used extensively to predict a host of instabilities in shearing flows viscoelastic fluids, often realized experimentally using polymer solutions. present review, written on the occasion birth centenary James Oldroyd, provides an overview found across major classes flows. These comprise (i) canonical rectilinear including plane Couette, and pipe Poiseuille flows; (ii...

We review an argument of Renardy proving existence and regularity for a subset of a class of models of non-Newtonian fluids suggested by Oldroyd, including the upper-convected and lower-convected Maxwellian models. We propose an effective method for solving these models, including a variational formulation suitable for finite element computation. We consider some model equations proposed for no...