General Solution for the Axisymmetric Case

The Gegenbauer functions of the first kind are polynomials and can be represented in the form 

For n 2, the Gegenbauer functions of the second kind are infinite at the points = 1, which correspond to 6 = 0 and 9 = it. Therefore, if there are no singularities in the physical statement of the problem, then all the constants with tildes in (2.1.5) must be zero. Moreover, for n = 0 and n = 1, the remaining constants, if nonzero, result in infinite values of the tangential velocity Vg on 

The corresponding fluid velocity components and pressure are given by the formulas 

In this case, the force exerted by the fluid on any spherical boundary described by the equation R = const is given by 

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