Optimum suction distribution for transition control

P. Balakumar, P. Hall

Research output: Chapter in Book/Report/Conference proceedingConference PaperOtherpeer-review

Abstract

The optimum suction distribution which gives the longest laminar region for a given total suction is computed. The goal here is to provide the designer with a method to find the best suction distribution subject to some overall constraint applied to the suction. We formulate the problem using the Lagrangian multiplier method with constraints. The resulting non-linear system of equations is solved using the Newton-Raphson technique. The computations are performed for a Blasius boundary layer on a flat-plate and crossflow cases. For the Blasius boundary layer, the optimum suction distribution peaks upstream of the maximum growth rate region and remains flat in the middle before it decreases to zero at the end of the transition point. For the stationary and travelling crossflow instability, the optimum suction peaks upstream of the maximum growth rate region and decreases gradually to zero.

Original languageEnglish
Title of host publication1996 Fluid Dynamics Conference
Subtitle of host publicationFluid Dynamics Conference, 1996; New Orleans; United States; 17 June 1996 through 20 June 1996
Pages1-6
Number of pages6
Publication statusPublished - 1 Jan 1996
Externally publishedYes
EventFluid Dynamics Conference, 1996 - New Orleans, United States of America
Duration: 17 Jun 199620 Jun 1996

Conference

ConferenceFluid Dynamics Conference, 1996
CountryUnited States of America
CityNew Orleans
Period17/06/9620/06/96

Cite this

Balakumar, P., & Hall, P. (1996). Optimum suction distribution for transition control. In 1996 Fluid Dynamics Conference: Fluid Dynamics Conference, 1996; New Orleans; United States; 17 June 1996 through 20 June 1996 (pp. 1-6)