Numerical Investigation of Two-Dimensional Oldroyd-B Fluid Flows Over A Straight Rectangular Domain

Numerical approximation of viscoelastic Oldroyd-B flows in curved pipes

The aim of this paper is to study a finite element numerical approximation of steady flows of an incompressible viscoelastic Oldroyd-B fluid in curved pipes of arbitrary cross-section and curvature ratio. Using rectangular toroidal coordinates, existence and uniqueness of approximated solutions are proved as well as a priori error estimates, under a natural restriction on the pipe curvature ratio.

Numerical Investigation of Two-dimensional Flows of Nematic Liquid Crystals

We present a numerical method for solving two-dimensional nematic liquid crystal flows subject to a magnetic field. The dynamic equations of nematic liquid crystals are based on the Ericksen-Leslie dynamic theory. This theory accounts for fluid anisotropy and elastic stresses resulting from spatial distortion of the “director”, which is a vector field describing the local average molecular orie...

Numerical Investigation on Contaminant Dispersion from a Source over the Blocks in Steady and Unsteady Flows

This paper deals with numerical study of semi-finite incompressible flow of air over two blocks with different heights in the presence of a condensing-source, dispensing- contaminant in the flow, in both steady and unsteady states. The numerical solution of governing PDE equations are constructed by a finite-volume method applied on structured grid arrangement. The effects of air flow velocity,...

Numerical Investigation of the Structure of Density Currents in a two Dimensional Channel

Effect of Slip Condition on Unsteady Flows of an Oldroyd-B Fluid between Parallel Plates

The unsteady flows of an incompressible Oldroyd-B fluid between two infinite parallel plates are considered when the slippage between the plate and the fluid is valid. The relative velocity between the fluid and plate is assumed to be proportional to the shear rate at the plates. The flow is generated by moving one of the plates or application of the constant pressure gradient giving arise to t...