We present a study on the nonlinear dynamics of small long-wave disturbances to the laminar state in non-rotating axisymmetric Poiseuille pipe flows. At high Reynolds numbers, the associated Navier-Stokes equations can be reduced to a set of coupled Korteweg–de Vries-type (KdV) equations that support inviscid and smooth travelling waves numerically computed using the Petviashvili method. In phy...

We find the existence conditions of unduloidal and nodoidal menisci between two solid spheres and study their stability in the framework of nonspectral theory of stability of axisymmetric menisci between two axisymmetric solid bodies in the absence of gravity.

Static axisymmetric Einstein–Maxwell–Dilaton and stationary axisymmetric Einstein–Maxwell–Dilaton–Axion theories in four space–time dimensions are shown to be integrable by means of the inverse scattering transform method. PASC number(s): 97.60.Lf, 04.60.+n, 11.17.+y

We study the non-stationary Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axisymmetric. We extend the regularity criterion for axisymmetric weak solutions given in [10].

Several experiments involving two-dimensional and axisymmetric bodies have been carried out in a Trisonic wind tunnel at supersonic speeds to investigate and analyse the measured values of base pressure and to compare them with those from the theoretical methods. The objective of the experiments was to obtain an appropriate method for processing the results of wind tunnel tests on rockets or ai...

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...

A systematic way to derive the conserved quantities for the axisymmetric liquid jet, free jet and wall jet using conservation laws is presented. The flow in axisymmetric jets is governed by Prandtl’s momentum boundary layer equation and the continuity equation. The multiplier approach is used to construct a basis of conserved vectors for the system of two partial differential equations for the ...

The complexity of the mechanics involved in the mammalian reproductive process is evident. Neither an ovum nor an embryo is self-propelled, but move through the oviduct or uterus due to the peristaltic action of the tube walls, imposed pressure gradients, and perhaps ciliary motion. Here we use the method of regularized Stokeslets to model the transport of an ovum or an embryo within a peristal...

Elastic spherical shells loaded under uniform pressure are subject to equal and opposite compressive probing forces at their poles to trigger and explore buckling. When the shells support external pressure, buckling is usually axisymmetric; the maximum probing force and the energy barrier the probe must overcome are determined. Applications of the probing forces under two different loading cond...