  The hadronic jets in a micro-quasar stellar system are modelled with the
relativistic hydrocode PLUTO. We focus on neutrino emission from such jets
produced by fast proton (non-thermal) collisions on thermal ones within the
hadronic jet. We adopt a semi-analytical approximation for the description of
the secondary particles produced from p-p collisions and develop appropriate
algorithms using the aforementioned injected protons as input. As a concrete
example we consider the SS-433 X-ray binary system for which several
observations have been performed the last decades. In contrast to the pre-set
distribution of the fast protons along the jet employed in our previous works,
in the present paper we simulated it by using a power-law fast proton
distribution along the PLUTO hydro-code. This distribution gradually sweeps
aside the surrounding winds, during the jet advance through the computational
grid. As a first step, in the present work the neutrino energy spectrum is
extracted from the model jet, facilitating a range of potential dynamical
simulations in currently interesting microquasar jet systems.
