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Physics
Classical Physics
Integral form of Navier-Stokes Equation
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[QUOTE="Chestermiller, post: 5494594, member: 345636"] Write it out in component form for Cartesian coordinates and you will see how. Again, write it out in component form for Cartesian coordinates. I guess you are not familiar with dyadic tensor notation. A dyad consists of two vectors placed in juxtaposition, without any operation such as dot product or cross product implied between the two. Such an entity is a 2nd order tensor. In this case, the tensor ##\rho \vec{u} \vec{u}## represents the momentum flux per unit volume of fluid. To learn more about the powerful use of dyadic tensor notation and the implementation of mathematical operations using dyadics, see Transport Phenomena by Bird, Stewart, and Lightfoot (Appendices). In my judgment, it is something very worthwhile to learn by those learning and using Fluid Mechanics. By the way, when you wrote ##(\vec{\nabla} \vec{u})##, you were already employing a dyadic of the vector operator ##\vec{\nabla}## and the vector ##\vec{u}##. [/QUOTE]
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Physics
Classical Physics
Integral form of Navier-Stokes Equation
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