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How does one use the Navier-Stokes equations? That is, how does one know what component to use and which terms cancel in the equation. x

How does one use the Navier-Stokes equations? That is, how does one know what component to use and which terms cancel in the equation.

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x component: (tu+uxu+vyu+wzu)=xP+gx+(x22u+y22u+z22u)ycomponent:(tv+uxv+vyv+wzv)=yP+gy+(x22v+y22v+z22v)zcomponent:(tw+uxw+vyw+wzw)=zP+gz+(x22w+y22w+z22w

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