Transient Growth in Shear Flows: Linearity vs Nonlinearity

Details Transient Growth in Shear Flows: Linearity vs Nonlinearity Transient Growth in Shear Flows: Linearity vs Nonlinearity

2010-05-10

arxiv.org/abs/1005.1479v1

Physics

Fluid Dynamics

4 pages, 5 figures

Scientific paper

Two approaches to the problem of transition to turbulence of shear flows are popular in the literature. The first is the linear one of transient growth which focuses on the likely form of the most 'dangerous' (lowest energy) turbulence-triggering disturbances. The second is the nonlinear calculation of the laminar-turbulent boundary which instead focuses on their typical amplitudes. We look to bridge the gap between these two perspectives by considering the fully nonlinear transient growth problem to estimate both the form and amplitude of the most dangerous disturbance. We thereby discover a new nonlinear optimal disturbance which outgrows the well-known linear optimal for the same initial energy and is crucially much more efficient in triggering turbulence. The conclusion is then that the most dangerous disturbance can differ markedly from what traditional linear transient growth analysis predicts.

Affiliated with

Also associated with

No associations

Rating

Transient Growth in Shear Flows: Linearity vs Nonlinearity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Transient Growth in Shear Flows: Linearity vs Nonlinearity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transient Growth in Shear Flows: Linearity vs Nonlinearity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-627323