Abstract

The linear stability of a suspension of phototactic algae is investigated numerically with particular emphasis on the effects of angle of incidence of the illuminating oblique collimated irradiation. The solutions show a transition of the most unstable mode from stationary to overstable state or vice versa for certain parameters at the variation in angle of incidence. Furthermore, a transition from mode 2 to mode 1 instability is observed at the variation of angle of incidence for some parameter values. Oscillatory instabilities are also frequently observed in the rigid upper surface case at the increment in angle of incidence.

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