Assuming

axisymmetry, the simulation domain is considered to be a sector mesh representing a single cylinder and accounting for only one spray plume in order to reduce the computational expense.

An important result based on this

axisymmetry is the well-known steady-state solution for the maximum potential intensity (MPI (2)) that a hurricane can attain under a prescribed thermodynamic condition, which is given by (Emanuel 1986, 2003)

It is recognized that this plaque scenario is idealized in its

axisymmetry and its shape.

However, deviations from

axisymmetry deep within a dark hole could generate rather strong gravitational waves, and their radiation into space would sap the dark hole's energy and angular momentum.

Whatever the flow rate, the superimposition of the measurement axes reveals the thermal

axisymmetry of the flow.

2005; Xu 2002) were thoroughly investigated on decay rate of the mean centerline velocity, jet spreading rate, potential core, turbulence intensity, Re stresses, local entrainment and mixing rate, velocity gradient in the shear layer, boundary layer displacement thickness and momentum thickness, kinematic momentum flux and kinematic mass flux, frequency spectrum of the velocity fluctuations, breaking the

axisymmetry and enhancing three-dimensionality in the shear layer, speed of convection and number of large-scale coherent structures in the near field of the nozzle exit, Strouhal number, distribution of vorticity concentration, intermittency in lateral skewness, and flatness moments across the jet and scalar field.

Only half the thickness was modeled to reduce computational time by assuming

axisymmetry.

The simulation takes advantage of the

axisymmetry, the cylindrical shape and the repetitive pattern of the winding sections in the flow path.

begins at the ground floor with by describing probability distributions and densities, then moves to moments, characteristic functions, Gaussian distribution, random functions, random processes in more dimensions, Fourier transforms, tensors, the theory of generalized functions and invariant theory along with isotropy and

axisymmetry.

However, when placed in a microchannel chamber, the bubbles show a liquid property known as

axisymmetry.

This assumes

axisymmetry and that radial temperature, velocity and concentration gradients are small in comparison with those perpendiculars to the disc; Coriolis forces, non-Newtonian effects angular slip, and gas-induced shear stresses are all neglected; most importantly, the effects of interfacial waves are also neglected.

Only the half of the geometry and appropriate boundary conditions are used to assure the

axisymmetry of the system (Fig.