@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} }

- Published 2012 in Physical review. E, Statistical, nonlinear, and…

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

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