  We consider a stochastic partial differential equation (SPDE) which describes
the velocity field of a viscous, incompressible non-Newtonian fluid subject to
a random force. Here, the extra stress tensor of the fluid is given by a
polynomial of degree p-1 of the rate of strain tensor, while the colored noise
is considered as a random force. We focus on the shear thickening case, more
precisely, on the case $p\in [1+{\frac{d}{2}},{\frac{2d}{d-2}})$, where d is
the dimension of the space. We prove that the Galerkin scheme approximates the
velocity field in a strong sense. As a consequence, we establish the energy
equality for the velocity field.
