Mathematical Model for Nth Dimensional Space and the Impact of Modified Gravity and Coriolis Effect on Stratified Deep Water Using Series Solution

Abstract

Stratified deep water refers to a layer of water that is deep enough that the effects of surface waves are negligible, and the water can be treated as a continuous, incompressible fluid. In such a system, the Coriolis effect and modified gravity can cause the water to stratify, or layer, with different densities and velocities in different regions. In an n-dimensional space, the Coriolis effect and modified gravity was shown to cause the water to stratify in complex ways, with different regions having different densities, velocities, and pressure gradients. The Coriolis effect, which is caused by the rotation of the Earth, causes the water to rotate and form vortices, while the modified gravity can cause the water to have different densities and pressures in different regions. A number of numerical simulations was carried out to understand the impact of modified gravity in deep water stratification and to predict the interactions between the internal waves within the layers. The model shows that stratification in deep water under the influence of the Coriolis effect and modified gravity have important implications for ocean circulation, climate, and marine ecosystems. Importantly, as there is no model presently which has successfully considered the impact of modified gravity and Coriolis effect together in the study of stratification in deep water. Therefore understanding the dynamics of stratified deep water in this context is undoubtedly an important area of research in oceanography and fluid dynamics in general.