MATHEMATICAL MODEL ON DIMENSIONAL ANALYSIS OF STRATIFIED DEEP WATER EQUATIONS UNDER MODIFIED GRAVITY AND CORIOLIS EFFECT TO OBTAIN REYNOLDS NUMBER
DOI:
https://doi.org/10.60787/jnamp.vol71no.627Keywords:
Dimensionless Number, Laminar Flow, Turbulence, Fluid Mechanics, Modified GravityAbstract
The mathematical model of stratified deep water under modified gravity and Coriolis effect describes the behavior of fluid layers with different densities in a deep body of water. The model takes into account the effects of gravity, coriolis effect and other forces that can cause the fluid layers to move and interact with each other. The important aspect of the model is the effectiveness of dimension of the Reynolds numbers as the deep water continuously stratifies. Reynolds number is a dimensionless quantity that represents the ratio of inertial forces to viscous forces in the stratified deep water. Reynolds number can have a significant impact on the behavior of the fluid layers and equally affect the stability of the stratified deep water layers, with higher Reynolds numbers leading to more turbulent behavior. Overall, the mathematical model of stratified deep water and the effect of the Reynolds numbers provide valuable insights into the behavior of fluid layers in deep bodies of water and can be used to predict and understand various phenomena, such as ocean currents, waves, and tides.
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