Transient Buoyancy Induced Flow Adjacent to a Uniformly Heated Vertical Surface

Physics

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Leading Edge

Scientific paper

Transient buoyancy induced flows, adjacent to a uniformly heated vertical surface, are determined by numerically solving Navier-Stokes equations. A finite difference code has been developed. The numerical results agree very well with previous analytic solutions and experimental data. In such flows, the downstream propagation of the Leading Edge Effect (LEE) is a dominant process. Large fluctuations arise in the temporal evolution of the temperature, velocity and motion pressure fields. For air of Pr = 0.72, relevant flow instability characteristics are quantitatively analyzed, as functions of downstream location. These temporal fluctuations are manifested as core structures, in the fields of horizontal velocity V and motion pressure. The regional features of these structures are determined in detail. Results indicate that the LEE propagation involves two distinctive processes. One is the propagation of the LEE front, into the one-dimensional diffusive downstream flow. The second process is the propagation of the following LEE, into two-dimensional convective downstream flow. The phase angle of the temperature effect leads those of the velocities U and V. This indicates that such flows are buoyancy induced. This buoyancy also induces an in-flowing motion pressure field in the region near the surface. The pressure effect is negligible inside the boundary layer region. However, the pressure field extends into the ambient fluid. There, the pressure force drives a transient entrainmental flow toward surface.

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