Viscoelastic materials with fading memory, e.g., polymers, suspensions, and emulsions, exhibit behavior that is intermediate between the nonlinear hyperbolic response of purely elastic materials and the strongly diffusive, parabolic response of viscous fluids. Many popular numerical methods used in the computation of steady viscoelastic flows fail in important flow regimes, and thus do not capt...

the galerkin finite element method is used to solve the three dimensional continuity, momentum and energy equations for laminar newtonian and power-law model non-newtonian flow through horizontal circular tube. the governing equations are non-dimensionalized with respect to specific variables and converted into algebraic equations using appropriate elements. to accelerate convergence a combinat...

We represent a conceptual scrutiny for completely organized convective heat transfer ring within the circular pipeline with power law liquids by means of realizing that diffusivity has been temperature gradient. The investigative resolution is availed and behaviour inspected under persistent thermic flux frontier condition. It demonstrated Nu stubbornly relies upon power-law index n value. (Nus...

The boundary layer equations for non-Newtonian fluids are examined under the classical conditions of uniform flow past a semi infinite flat plate. Using the similarity transformation, the system of partial differential equations are transformed into a similarity non-linear ordinary differential equation. The existence and uniqueness of some classes of similarity solutions are studied and their ...

In this paper we provide fully covariant proofs of some theorems on shearfree perfect fluids. In particular, we explicitly show that any shear-free perfect fluid with the acceleration proportional to the vorticity vector (including the simpler case of vanishing acceleration) must be either non-expanding or non-rotating. We also show that these results are not necessarily true in the Newtonian c...