Deduce the velocity distribution of steady flow of an incompressible fluid of density ρ and viscosity η between two parallel, coaxial annular plates of inner radii r1, outer radii r2 and separation h when pressure difference ∆P is applied between the inner and outer radii. As an exact solution of the Navier-Stokes equation appears to be difficult, it suffices to give an approximate solution ass...

We investigate the flow of a one-dimensional nonlinear Schrödinger model with periodic boundary conditions past an obstacle, motivated by recent experiments with Bose–Einstein condensates in ring traps. Above certain rotation velocities, localized solutions with a nontrivial phase profile appear. In striking difference from the infinite domain, in this case there are many critical velocities. A...

It is known that the stability problem for core-annular flow of very viscous crude oil and water is singular, the water annulus appears to be inviscid with boundary layers at the pipe wall and at the interface. In the present paper, this singular problem is treated by the method of matched asymptotic expansions using ∈ = m/Rα as a small parameter. There are two cases of instability correspondin...

In the present investigation the distribution of mean velocity, static pressure and total pressure are experimentally studied on an annular curved diffuser of 37.5° angle of turn with an area ratio of 1.273 at Reynolds number 1.85 x 10 based on inlet diameter and mass average inlet velocity. The experimental results then were numerically validated with the help of Fluent and then a series of pa...

This paper considers the problem of viscous dissipation in the flow of Newtonian fluid through a tube of annular cross section, with Dirichlet boundary conditions. The solution of the problem is obtained by a series expansion about the complete eigenfunctions system of a Sturm-Liouville problem. Eigenfunctions and eigenvalues of this Sturm-Liouville problem are obtained by Galerkin’s method.