We consider the stead y flow of a viscous fluid around a sphere of finiteradius in non-linear formulation. The equations of motion are written in non-dimensional terms. We seek their solution as the expansion of the unknown stream function in a series of powers of the Reynolds number, the coefficients of which are polynomials in associated Legendre functions of the first kind. Recurrence relations are given for the sequential determination of all coefficients. The velocity and pressure fields are determined. The drag is calculated. Numerical calculations are carried out.
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Ovseenko, Y.G. Flow of a viscous fluid around a sphere of finite radius. J Appl Mech Tech Phys 9, 202–204 (1968). https://doi.org/10.1007/BF00913185
- Mathematical Modeling
- Reynolds Number
- Mechanical Engineer
- Numerical Calculation
- Industrial Mathematic