WEAKLY-RADIATIVE ACOUSTIC FLOW INDUCED BY RADIATION FROM A STATIONARY WALL,
BROWN UNIV PROVIDENCE R I DIV OF ENGINEERING
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The radiative wave flow induced by radiation from a stationary solid wall is treated for large ratio of photon mean free path to molecular mean free path, and large Boltzmann number. The time scale considered is of the order of the photon m.f.p. divided by the speed of sound. Under these conditions the problem is split into a radiationless, heat-conducting boundary layer and a radiation-induced acoustic outer region. These are reduced to the form of a heat-conduction equation and an inhomogeneous linear wave equation, respectively, and solved in closed form. The radiation-induced acoustic flow is characterized by a weak discontinuity in the second derivatives of the flow variables propagating at the isentropic speed of sound. The result is a simple analytic representation of the long-range character of radiation-induced flow and will be useful as a reference solution for comparison with more complex problems.
- Fluid Mechanics