Abstract A Reynolds equation governing the steady flow of a fluid through curvilinear, narrow tube, with its derivation from Navier–Stokes equations asymptotic methods is presented. The channel considered may have rather large curvature and torsion. Approximations velocity pressure inside are constructed by artificially imposing appropriate boundary conditions at inlet outlet. justification for...

The flow of viscoelastic liquids with constant shear viscosity through symmetric sudden expansions is studied by numerical means. The geometry considered is planar and the constitutive model follows the modified FENE-CR equation, valid for relative dilute solutions of polymeric fluids. For Newtonian liquids in a 1:3 expansion we predict the result that the flow becomes asymmetric for a Reynolds...

An entirely new approach to the large-eddy simulation (LES) of high-speed compressible turbulent flows is presented. Subgrid scale stress models are proposed that are dimensionless functions of the computational mesh size times a Reynolds stress model. This allows a DNS to go continuously to an LES and then a Reynolds-averaged Navier-Stokes (RANS) computation as the mesh becomes successively mo...

The aim of the present study is to examine the steady flow of an incompressible conducting viscous fluid in convergent-divergent channels under the effect of an external homogeneous magnetic field. The non-dimensional governing equation for the considered flow field is solved in a power series to examine the instability of the problem using Hermite-Pade ́ approximation technique computed numeri...

This paper describes the effects of induced magnetic field and partial slip on the peristaltic flow of a couple stress fluids in an asymmetric channel. The two dimensional equation of couple stress fluid are simplified by making the assumptions of long wave length and low Reynolds number. The exact solutions of reduced momentum equation and magnetic force function have been computed in wave...