Navier-Stokes Equations
In the context of aerospace engineering, the Navier-Stokes Equations are a set of partial differential equations that describe the motion of viscous fluid substances, such as air. Named after Claude-Louis Navier and George Gabriel Stokes, these equations are fundamental to the field of fluid dynamics, a critical aspect of aerospace engineering. The equations represent the conservation of momentum, the principle that the rate of change of momentum of a fluid particle is equal to the sum of the forces on it. In aerospace engineering, the Navier-Stokes Equations are used to model the behavior of air as it flows over an aircraft or spacecraft. This is crucial in the design process, as understanding this flow can help engineers optimize for aerodynamics, reducing drag and increasing lift. The equations take into account factors such as velocity, pressure, temperature, and viscosity, providing a comprehensive model of fluid behavior. However, they are notoriously difficult to solve, especially in three dimensions, and often require the use of computational fluid dynamics software.
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