𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A BOUNDARY ELEMENT METHOD FOR VISCOUS GRAVITY CURRENTS

✍ Scribed by S. Betelú; J. Diez; L. Thomas; R. Gratton; B. Marino

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
379 KB
Volume
25
Category
Article
ISSN
0271-2091

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✦ Synopsis

The viscous gravity spreading of a blob of ¯uid on a rigid, horizontal, no-slip surface is studied numerically by applying the boundary-element method to the Stokes equation in plane symmetry. The two-dimensional unsteady solution is obtained by solving the biharmonic equation for the streamfunction in a given domain to obtain the velocity ®eld, which is then used to track the contour. The spreading is developed by letting adhere to the rigid boundary any ¯uid element set in contact with it. A detailed description of the two-dimensional ¯ow near the head of a viscous gravity current shows a typical rolling motion which characterizes the advancing mechanism of the spreading. In particular, we obtain scaling laws for the shape and size of the current head in good agreement with previously reported experimental data. Attention is also paid to the validation of the numerical method.

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