A similarity solution for a QSO envelope with radiation driving

Physics – Fluid Dynamics

Scientific paper

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Fluid Dynamics, Quasars, Radiation Distribution, Radiation Pressure, Similarity Theorem, Acceleration (Physics), Equations Of Motion, Velocity Distribution

Scientific paper

For some time now it has been recognized that the wind from a QSO central source is appreciably affected by radiative driving. This paper outlines an unsteady solution, in terms of a similarity variable, for a model in which the radiative acceleration is either directly proportional to the local fluid density, or is inversely proportional to the square of the radial distance from the (massive) source. The flow is assumed is this model to be spherically symmetric and externally bounded by a shock wave, expanding into a medium at rest. It is shown that the density in the gas is increased by radiative driving at the extremes of the region with a corresponding drop between, indicating a shell-like structure which is accentuated by increased radiative acceleration. It is further demonstrated that very high gas velocities can be achieved in either of the above cases, but particularly when the radiation acceleration is proportional to the inverse square of the radial distance. In view of the restrictive assumptions, no attempt has been made to relate the results to any practical case, the emphasis always being to attempt to predict how a given flow is modified by the additional effect.

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