written and published by Renzo Diomedi // UNDER CONSTRUCTION

NS, composed by a conservative continuity equation that since the flow is incompressible (if the variations in density of the fluid do not have appreciable effects and therefore the density can be considered with a good approximation, a constant) is

and a non-conservative Momentum equation not exactly measurable as a scalar field, but divisible by 3 scalar equations laid and projected along the directions

So we have 4 independent variables

The stress tensor works as:

then, if the components of the viscous stress state are linearly linked to the components of the deformation velocity through Stokes' relations,

= = = = whereas

so finally the viscous stress tensor is :

so we saw this tensor as a generally irregular pyramid with triangular base , but if instead we tried to consider it as a deformable and curvable sheet, we may have a new vision about these equations

TO BE CONTINUED................