Abstract
Visual observations by Lloyd and Sparrow [1] and Sparrow and Husar [2] have indicated that the instability of the boundary layer on a heated, inclined plate is predominated by two-dimensional waves for angles of inclination less than 14°, whereas both waves and longitudinal vortices are observed for angles of 14°–17°, and vortices predominate for larger angles. A linear stability analysis is carried out in this paper. It is found that each mode becomes unstable first at the same location along the plate at an angle of only 4°. However, correlation with the experimental observations is achieved by calculating the total amplification of each disturbance from the predicted point of onset of instability to the point of observed instability for various angles of inclination.
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