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Derive Euler's equation for three dimensions.
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We shall derive Euler’s equation in 3-Dimension in Cartesian coordinate system. Euler’s Equation can also be derived from the Navier Stokes Equation with Steady and Non-Viscous flow.

Consider the three dimensional fluid element,

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Now the fluid element is of a size $δx, δy$ and $δz$ along the X, Y and …

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