  We study the properties of two-temperature accretion flow around a
non-rotating black hole in presence of various dissipative processes where
pseudo-Newtonian potential is adopted to mimic the effect of general
relativity. The flow encounters energy loss by means of radiative processes
acted on the electrons and at the same time, flow heats up as a consequence of
viscous heating effective on ions. We assumed that the flow is exposed with the
stochastic magnetic fields which leads to Synchrotron emission of electrons and
these emissions are further strengthen by Compton scattering. We obtain the
two-temperature global accretion solutions in terms of dissipation parameters,
namely, viscosity ($\alpha$) and accretion rate (${\dot m}$), and find for the
first time in the literature that such solutions may contain standing shock
waves. Solutions of this kind are multi-transonic in nature as they
simultaneously pass through both inner critical point ($x_{\rm in}$) and outer
critical point ($x_{\rm out}$) before crossing the black hole horizon. We
calculate the properties of shock induced global accretion solutions in terms
of the flow parameters. We further show that two-temperature shocked accretion
flow is not a discrete solution, instead such solution exists for wide range of
flow parameters. We identify the effective domain of the parameter space for
standing shock and observe that parameter space shrinks as the dissipation is
increased. Since the post-shock region is hotter due to the effect of shock
compression, it naturally emits hard X-rays and therefore, the two-temperature
shocked accretion solution has the potential to explain the spectral properties
of the black hole sources.
