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3D Cartesian Gov. Eq. confusion

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Old   August 19, 2004, 07:21
Default 3D Cartesian Gov. Eq. confusion
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Hi, I am a new user and trying to derive the equation for a 3D cartesian - momentum conservation equation in the x direction. I arrived to the equation below.

du/t + (u dU/dx + v dU/dy + w dU/dz) = m(d2u/dx2 + 2du/dy2 + d2u/dz2) - dP/dx + Source

m = viscosity u,v,w = x, y, z components of velocity. U = velocity vector.

Is the above equation correct? How can i derive the equation as presented in the document below?

thanks and regards kay
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