Abstract
where u, v, and w are the radial, azimuthal, and axial velocity components, respectively; p is the fluid pressure; and ν is the kinematical viscosity. Without restriction of generality, the fluid density is taken to be equal to unity, and the fluid is subjected to potential external forces. In this case, p is the modified pressure that is equal to the sum of the original pressure and externalforce potential. As is known [1], system (1) reduces to two equations relating the azimuthal velocity v component to the current function ψ defined by the expressions
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