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VOLUME 55 | ISSUE 3 | PAGE 183
Modification of the Stokes formula (laminar motion of a heat-evolving sphere)
Navier-Stokes equations are written for the case of the laminar motion of a heat-evolving sphere in a liquid with a temperature-dependent viscosity. If the relative velocity of the liquid and the sphere is low, the temperature profile near the sphere is spherically symmetric. Solutions of the hydrodynamic equations with convection are derived for the case in which the logarithmic derivative of the viscosity can be assumed constant. There can also be a purely convective solution with a vanishing velocity at infinity. Only if there is absolutely no convection do the solutions and the expressions for the drag have the Stokes formula (for a constant viscosity) as a limit.




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