Rivlin–Ericksen tensor - Alchetron, The Free Social Encyclopedia

A Rivlin–Ericksen temporal evolution of the strain rate tensor such that the derivative translates and rotates with the flow field. The first-order Rivlin–Ericksen is given by

A i j ( 1 ) = ∂ v i ∂ x j + ∂ v j ∂ x i

where

v i is the fluid's velocity and A i j ( n ) is n -th order Rivlin–Ericksen tensor.

Higher-order tensor may be found iteratively by the expression

A i j ( n + 1 ) = D D t A i j ( n ) .

The derivative chosen for this expression depends on convention. The upper-convected time derivative, lower-convected time derivative, and Jaumann derivative are often used.

References

Rivlin–Ericksen tensor Wikipedia

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