JUSTIFICATION OF JURIN'S LAW BY THE RESULT OF AVERAGE LEVEL (HEIGHT) OF THE TIDE : CASE OF THE ISLAND OF MADAGASCAR

Science and technology

This paper presents a study that explores the application of Jurin's law (which describes the rise of liquids in capillary tubes) to analyze tidal height variations on the coasts of Madagascar. Although Jurin's law mainly applies to confined fluids, the study proposes that it could also be used to understand sea level variations influenced by geophysical and gravitational forces, such as those of tides. The aim is to demonstrate how average tide levels on the coasts of Madagascar can validate this law. By comparing tide height variations in two distinct areas – the Mozambique Channel and the Indian Ocean – the study shows that tidal peaks are higher in the Mozambique Channel than in the Indian Ocean. This difference is explained by the size of the radius (r): the radius of the Indian Ocean (15,000 km) is larger than that of the Mozambique Channel (400 km), which justifies the application of Jurin's law. In summary, the study proposes an innovative approach by using the principles of capillarity to interpret natural tidal variations, and by demonstrating that differences in the geometry of marine spaces (such as the size of basins) influence the observed tide levels.

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