  We study a kinetic toy model for a spray of particles immersed in an ambient
fluid, subject to some additional random forcing given by a mixing,
space-dependent Markov process. Using the perturbed test function method, we
derive the hydrodynamic limit of the kinetic system. The law of the limiting
density satisfies a stochastic conservation equation in Stratonovich form,
whose drift and diffusion coefficients are completely determined by the law of
the stationary process associated with the Markovian perturbation.
