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The Cauchy Equation

Figure 1. Inflow and Outflow of the x-component of linear momentum through each face of an infinitesimal control volume. Figure 2. Sketch illustrating the surface forces acting in the x direction due to the appropriate stress tensor component on each face of the differential control volume.

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The Cauchy Equation

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  1. Figure 1. Inflow and Outflow of the x-component of linear momentum through each face of an infinitesimal control volume.

  2. Figure 2. Sketch illustrating the surface forces acting in the x direction due to the appropriate stress tensor component on each face of the differential control volume.

  3. The Cauchy Equation Alternate Form:

  4. Stress Tensor (Cartesian)

  5. N-S Cartesian

  6. N-S Cylindrical

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