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
where is the fluid's velocity and is -th order Rivlin–Ericksen tensor. Higher-order tensor may be found iteratively by the expression
The derivative chosen for this expression depends on convention. The upper-convected time derivative, lower-convected time derivative, and Jaumann derivative are often used.
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