Role of Shocked Accretion Flows in Regulating the Quasi-periodic Oscillation of Galactic Black Hole Candidates

Using a generalized nonspherical, multitransonic accretion flow model, we analytically calculate the normalized quasi-periodic oscillation (QPO) frequency qpo of Galactic black hole candidates in terms of dynamical flow variables and self-consistently study the dependence of qpo on such variables. Our results are in fairly close agreement with the observed QPO frequencies of GRS 1915+105. We find that qpo is quite sensitive to various parameters describing the black hole accretion flow containing dissipative and nondissipative shock waves. Thus, the QPO phenomena is, indeed , regulated by "shocked" black hole accretion, and, for the first time, we establish a definitive connection between the QPO frequency and the properties of advective black hole accretion flows. This information may provide an explanation for some of the important observations of Galactic microquasars.