The work developed in this thesis addresses very important and
relevant issues of accretion processes around black holes.
Beginning by studying the time variation of the evolution of
inviscid accretion discs around black holes and their properties,
the author investigates the change of the pattern of the flows when
the strength of the shear viscosity is varied and cooling is
introduced. He succeeds to verify theoretical predictions of the so
called Two Component Advective Flow (TCAF) solution of the
accretion problem onto black holes through numerical simulations
under different input parameters. TCAF solutions are found to be
stable. And thus explanations of spectral and timing properties
(including Quasi-Period Oscillations, QPOs) of galactic and
extra-galactic black holes based on shocked TCAF models appear to
have a firm foundation.
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