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Follie
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If not, can someone walk me through the steps to get to the results that my professor got? Thank you.
The Navier Stokes equation is a set of partial differential equations that describe the motion of a fluid. It takes into account the effects of viscosity, pressure, and inertia on the fluid's velocity and density.
Divergence in the Navier Stokes equation refers to the rate at which fluid is expanding or contracting at a specific point. It is a measure of the flow of fluid away from or towards a given point.
Divergence affects fluid flow by influencing the change in fluid velocity and density at a given point. High divergence values indicate a rapid change in fluid flow, while low divergence values indicate a more uniform flow.
The divergence of the Navier Stokes equation is important because it helps to understand and predict the behavior of fluids in various scenarios, such as in fluid dynamics, aerodynamics, and weather forecasting. It also plays a crucial role in the development of numerical methods for solving the Navier Stokes equation.
Divergence is calculated by taking the dot product of the velocity vector and the gradient of the velocity field. This results in a scalar value that represents the rate of change of fluid flow at a specific point in space.