  The Rivlin-Ericksen model is one of the oldest models in fluid dynamics to
describe non-Newtonian properties. The model comes with two independent
transports at second order. In this paper, we study the relativistic origin of
the Rivlin-Ericksen fluid. Starting from a relativistic Weyl invariant
uncharged fluid in $3+1$ dimensions, we reduce it over light-cone directions
and obtain a generic non-relativistic uncharged fluid in one lower dimension
with all possible second order terms in the constitutive relations. We observe
that the Rivlin-Ericksen fluid is a subclass of our generalised
non-relativistic system. We also compute the holographic values of all the
non-relativistic second order transports and find that three of them satisfy a
universal constraint relation.
