Stress tensor

From Glossary of Meteorology

stress tensor

The complete set of stress components in a medium, which are written as a tensor τij.

It has nine components, one for each of the coordinate faces of an imaginary fluid element upon which the stress acts (j = x, y, z) and for each direction in which the stress is directed (i = x, y, z) By definition, an inviscid fluid is one in which the six tangential stresses (ij) are zero, and the three normal stresses (i =j) are equal to the negative of the pressure.