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Publications Influence

Three‐dimensional optimal perturbations in viscous shear flow

- K. Butler, B. Farrell
- Physics
- 1 August 1992

Transition to turbulence in plane channel flow occurs even for conditions under which modes of the linearized dynamical system associated with the flow are stable. In this paper an attempt is made to… Expand

933 72- PDF

Generalized Stability Theory. Part II: Nonautonomous Operators

- B. Farrell, P. Ioannou
- 15 July 1996

Abstract An extension of classical stability theory to address the stability of perturbations to time-dependent systems is described. Nonnormality is found to play a central role in determining the… Expand

454 30- PDF

A Simple Approximate Result for the Maximum Growth Rate of Baroclinic Instabilities

- R. Lindzen, B. Farrell
- Physics
- 1 July 1980

Abstract The Charney problem for baroclinic instability involves the quasi-geostrophic instability of a zonal flow on a β plane where the zonal flow is characterized by a constant vertical shear. The… Expand

273 29

Stochastic forcing of the linearized Navier–Stokes equations

- B. Farrell, P. Ioannou
- Physics
- 1 November 1993

Transient amplification of a particular set of favorably configured forcing functions in the stochastically driven Navier–Stokes equations linearized about a mean shear flow is shown to produce high… Expand

295 26- PDF

Tropical Cyclone Formation

- M. T. Montgomery, B. Farrell
- 15 January 1993

Abstract The physics of tropical cyclone formation is not well understood, and more is known about the mature hurricane than the formative mechanisms that produce it. It is believed part of the… Expand

214 16

Optimal perturbations and streak spacing in wall‐bounded turbulent shear flow

- Kathryn M. Butler, B. Farrell
- Physics
- 1 March 1993

The mean streak spacing of approximately 100 wall units that is observed in wall‐bounded turbulent shear flow is shown to be consistent with near‐wall streamwise vortices optimally configured to gain… Expand

170 15- PDF

Optimal excitation of perturbations in viscous shear flow

- B. Farrell
- Physics
- 1 August 1988

Evidence, both theoretical and experimental, is accumulating to support a mechanism for transition to turbulence in shear flow based on the 3‐D secondary instability of finite 2‐D departures from… Expand

242 14

The initial growth of disturbances in a baroclinic flow

- B. Farrell
- Physics
- 1 August 1982

Abstract The growth of perturbations in a baroclinic flow is examined as an initial value problem. Although the long time asymptotic behavior is dominated by discrete exponentially growing normal… Expand

244 14

Optimal excitation of three‐dimensional perturbations in viscous constant shear flow

- B. Farrell, P. Ioannou
- Physics
- 1 June 1993

The three‐dimensional perturbations to viscous constant shear flow that increase maximally in energy over a chosen time interval are obtained by optimizing over the complete set of analytic… Expand

157 13- PDF