回転円盤上の液膜流れへの熱の影響 : 第2報, 径方向成分を考慮した液膜厚みの解析

The thermal effect and radial dependence on unsteady axisymmetric thin liquid film flow on a rotating disk is analyzed by asymptotic methods for unit order Prandtl number and unit order Reynolds number. When the disk temperature Td remains constant and equal neither to the temperature To of the surrounding gas nor that of the initial liquid film, the velocity fields of the flow take different forms from those case of Td=To, due to a change of kinematic viscosity and surface tension. The process in which initial non-uniformity in film profile tending to smooth out is also affected by these changes. A long-scale evolution equation describing the shape of thin liquid film interface as a function of space and time is derived, and an asymptotic radial dependent solution for transient film thickness is obtained. The result elucidates how a film thins to a planar shape when temperature gradient exists.