A TECHNIQUE TO CIRCUMVENT A SINGULARITY AT A RADIAL CENTER WITH APPLICATION FOR A 3-DIMENSIONAL CYLINDRICAL SYSTEM

A technique was invented to circumvent computational singularity at a radial center of cylindrical and spherical coordinate systems. The ide a is as follows. The radial velocity at a center is given by the avera ge of adjacent circumferential directional velocity components located at +/-0.5 pi rad. Sample computations are presented for natural conve ction in a vertical cylinder with two different thermal boundary condi tions. Those velocity profiles through a cylinder center are smoothly represented.