Abstract
This article considers the one-dimensional approximation of a hydrodynamically steady state flow of a viscous reactive liquid within a channel. A nonstationary system of equations describing momentum, heat, and mass transfer is presented with consideration of viscous dissipation, heat liberation due to chemical reaction, and natural convection. The effect of small perturbations on the behavior of the systems described by the equations is discussed. It is demonstrated that zero dimensional analysis predicts stationary values of temperature, concentration, and motion velocity, near which self-oscillations occur or to which asymptotically stable solutions tend. The predictions of local analysis in combination with numerical experiment permit the study of nonstationary phenomena in flows of a viscous reactive liquid.
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