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Accuracy of the toroidal approximation for the calculus of concave and convex liquid bridges between particles
| Author | Megias-Alguacil, David; Gauckler, Ludwig J. | |
| Year | 2011 | |
| Type | Journal Article | |
| Journal | Granular Matter | |
| Volume | 13 | |
| Issue | 4 | |
| Pages | 487-492 | |
| Date | Aug | |
| ISSN | 1434-5021 | |
| Accession Numer | WOS:000290963200016 | |
| Abstract | In situations and processes where finely divided solids are in contact with small amounts of liquid, capillary effects influence the behavior of such systems. If the quantity of liquid is rather limited, it arranges as individual liquid bridges connecting the solid particles just wetting a portion of the solids surface. These bridges develop forces which drive the cohesion and motion of the solid particles, further determining in many times the final structure or even the quality of the material. Since the liquid is not able to fully cover the solid particles like in a proper suspension, this liquid adopts a shape which is determined by the principle of constant mean curvature. A rigorous determination of such a shape, which in turn determines the capillary forces, must be carried out by solving the Young-Laplace equation. Due to the difficulties in such calculation, it was proposed to approximate the meniscus profile by an arc-of-circumference, the so-called toroidal approximation. Here it is quantitatively studied the suitability of such approximation for the most general geometry of liquid bridges, finding that the error of the approximation is below 10% for concave menisci and 30% for convex ones. | |
| Notes | Times Cited: 0 | |
| URL |
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| Record Number | 781 | |
| Group | nonmet |
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