  We describe the time-dependent radiation transfer in blazar jets, within the
internal shock model. We assume that the central engine, which consists of a
black hole and an accretion disk, spews out relativistic shells of plasma with
different velocity, mass, and energy. We consider a single inelastic collision
between a faster (inner) and a slower (outer) moving shell. We study the
dynamics of the collision and evaluate the subsequent emission of radiation via
the synchrotron and synchrotron self Compton (SSC) processes after the
interaction between the two shells has begun. The collision results in the
formation of a forward shock (FS) and a reverse shock (RS) that convert the
ordered bulk kinetic energy of the shells into magnetic field energy and
accelerate the particles, which then radiate. We assume a cylindrical geometry
for the emission region of the jet. We treat the self-consistent radiative
transfer by taking into account the inhomogeneity in the photon density
throughout the region. In this paper, we focus on understanding the effects of
varying relevant input parameters on the simulated spectral energy distribution
(SED) and spectral variability patterns.
