First-order energy-integral model for thin Newtonian liquids falling along sinusoidal furrows.

@article{Sadiq2012FirstorderEM,
  title={First-order energy-integral model for thin Newtonian liquids falling along sinusoidal furrows.},
  author={I Mohammed Rizwan Sadiq},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={85 3 Pt 2},
  pages={036309}
}
An average modeling methodology under the lubrication approach is used to formulate a set of three coupled nonlinear partial differential equations based on the Nusselt scales. This system, known as the energy-integral method in literature, simplifies the Navier-Stokes equation at the first order and analyzes the dynamics of a thin sheet of fluid flowing over a topography with sinusoidally varying longitudinal furrows. Limiting cases of the linear stability results are mathematically discussed… CONTINUE READING