University of Cambridge > Talks.cam > Fluid Mechanics (CUED) > Linear stability vs. real nonlinear flow - Part 2

Linear stability vs. real nonlinear flow - Part 2

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If you have a question about this talk, please contact Akshath Sharma.

My fluids talk two years ago had the following aim: “to demonstrate successes and limitations of linear stability theory in assessing the nonlinear behavior of some real unstable flows in comparison to experiments and DNS ”. The present talk can be seen as a continuation of this theme. We will look at flows which are more challenging to characterize, and I will present ways in which linear stability and sensitivity analysis can (and cannot) provide information about the flow. An example is the transition and rich nonlinear dynamics of the flow in a constricted pipe (stenotic flow), and its extreme sensitivity to asymmetry. Furthermore, we will see how a controversial mean flow stability analysis yields accurate eigenmodes and oscillation frequencies in a swirling turbulent flow in a fuel injector geometry. These eigenmodes can be used to perform sensitivity analysis. I will show how sensitivity analysis may identify which parts of the flow in a complex geometry need to be altered in order to change its hydrodynamic stability characteristics.

This talk is part of the Fluid Mechanics (CUED) series.

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