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Thermal Instabilities in an Evolving Boundary Layer at a Single Vertical Wall

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The effects of heating a single vertical wall, bounding a two-dimensional, semi-infinite, incompressible fluid are investigated. The flow adjacent to the wall is stable immediately after the onset of heating, becoming unstable later as the time-dependent flow evolves. We aim to identify when instabilities begin to grow and from this we can achieve the earliest time in which an instability can attain a given growth in energy. This involves looking for the most unstable initial conditions at different times, and identifying the earliest time that the energy of any disturbance could grow by some predetermined amount.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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