Govindarajan, Rama and Narasimha, R (1999) Loworder parabolic theory for 2D boundarylayer stability. Physics of Fluids, 11 (6). pp. 14491458. ISSN 10706631
PDF
articles2.pdf Download (782kB) 

Indexer Terms (Generate index codes conversion from application/pdf to indexcodes)
indexcodes.txt Download (10kB) 
Abstract
We formulate here a lowest order parabolic (LOP) theory for investigating the stability of twodimensional spatially developing boundary layer flows. Adopting a transformation earlier proposed by the authors, and including terms of order R213 where R is the local boundarylayer thickness Reynolds number, we derive a minimal composite equation that contains only those terms necessary to describe the dynamics of the disturbance velocity field in the bulk of the flow as well as in the critical and wall layers. This equation completes a hierarchy of three equations, with an ordinary differential equation correct to R:'2 (similar to but different from the OrrSommerfeld) at one end, and a quot;fullquot; nonparallel equation nominally correct to R[ at the other (although the latter can legitimately claim higher accuracy only when the mean flow in the boundary layer is computed using higher order theory). The LOP equation is shown to give results close to the full nonparallel theory, and is the highestorder stability theory that is justifiable with the lowestorder mean velocity profiles for the boundary layer.
Item Type:  Article 

Additional Information:  Copyright for this article belongs to American Institute of Physics 
Uncontrolled Keywords:  Boundarylayer stability;Lowest order parabolic;OrrSommerfeld equation 
Subjects:  ENGINEERING > Fluid Mechanics and Thermodynamics 
Depositing User:  Mr. N A 
Date Deposited:  06 Jun 2006 
Last Modified:  24 May 2010 04:13 
URI:  http://nalir.nal.res.in/id/eprint/1692 
Actions (login required)
View Item 