An Approach to Model Uncertainty in Fluid Behaviour with Navier-Stokes Equations in Neutrosophic Environment

The complex discipline of fluid dynamics examines the behavior of fluids and their interactions with adjacent objects. The Navier-Stokes equations are very important for explaining how fluids move, but they are not linear and often give answers that depend on the starting point and the boundaries. Modeling fluid behavior is challenging due to the inherently chaotic and unpredictable character of fluid dynamics. To deal with unknown or uncertain values in this research, we used neutrosophic logic to look at the Navier-Stokes equations in a new way. Neosophic logic permits the existence of values that are partially true and partially false; hence, it offers a more complex depiction of fluid behavior. We use neutrosophic logic to solve the Navier-Stokes equations and show that it works by creating the neutrosophic finite element method and running numerical simulations. Our results show that the proposed method can accurately show fluid behavior even when traditional models fail to do so, even when there is uncertainty and indeterminacy. Ultimately, our suggested method offers a novel approach to addressing uncertainty and ambiguity in fluid dynamics.