Secondary Optimal Perturbation Growth in Hartmann Channel Flow

Abstract eng:
The algebraic growth of secondary optimal perturbations in a channel flow with a transverse magnetic field is investigated. Linear growth of perturbation on the streaky base flow is calculated by iteratively solving the direct and adjoint governing equations. For small amplitude streaks evolving on the channel flow, the secondary optimal perturbations resemble the primary ones. For large amplitude streaks cases, there is still residual interaction between the top and bottom Hartmann layer at relatively high Hartmann number. The optimal streamwise wavenumber is found to be finite and scaled with the thickness of the Hartmann layer.

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