| 초록 |
The behavior of a thin liquid film running down an inclined plane heated at a constant temperature is examined in the limit of long-wave approximation. With the large Reynolds number Re=O(1/ε), the nonlinear evolution equations governing the surface waves are derived upto O(1/ε). Here the small parameter is the characteristic length scale parallel to the flow to the primary film depth. The layer is considered incompressible, Newtonian, and volatile. Hence, the liquid film is susceptible to the instabilities due to the gravitational force in the flow direction and the thermocapillarity effect. The linear and nonlinear stability analyses are conducted with the numerical computations. |
