Spreading of a shallow mass on an incline
نویسنده
چکیده
The spreading of a finite mass of paint, paper pulp, mud or lava on an inclined plane is of interest to a variety of industrial and geological problems. For mud modeled as a Binghamplastic non-Newtonian fluid, Liu & Mei (1989) solved the equation similar to (2.3.22) numerically. An analytical solution for Herschel-Bulkley fluid was given later by Huang & Garcia (1997). We modify their theories for the simpler case of Newtonion fluid here. The free surface of a thin layer is expected to flatten in time over most of the profile, but it should steepen near the downstream front where the spatial derivative is much more important than elsewhere. Let us study the problem by dividing the total fluid extent into two: the far field not too close to the steep front and the near field around the front.
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