Resolution of an Initial Shear Flow Discontinuity in One-Dimensional Hydromagnetic Flow (Classic Reprint) - Tapa dura

Sinopsis

Excerpt from Resolution of an Initial Shear Flow Discontinuity in One-Dimensional Hydromagnetic Flow

An idealized physical situation in which a shear flow discontinuity occurs is the following. Consider a layer of perfectly conducting, compresable fluid with faces transverse to the x-direction. Assume, at the initial instant, that the fluid within the layer moves uniformly in the negative y-direction, that only the fluid.within the layer is in motion, and that the pressure and density are continuous across the layer faces and are independent of x. Such an initial motion may be regarded as an idealization of a jet proceeding in the negative y-direction and much wider in the z-direction than in the x-direction. At each face of the jet we encounter a shear flow discontinuity. The waves resulting from the resolution of the shear flow discontinuity at each face will interact only after a certain time. Before this time the situation may be described by a wave motion resulting from a Single interface. It is this motion that is con sidered here.

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