https://scigraph.springernature.com/explorer/license/
1992-01-01
2019-04-16T09:34
en
https://link.springer.com/10.1007%2F978-1-4612-2956-8_16
chapter
chapters
The effect of distributed suction on the cross-flow instability of the boundary layer on a rotating disk is considered. A vorticity-velocity formulation is used to obtain exact linear equations governing the development of infinitesimal disturbances to the steady flow on a rotating disk. A parallel flow approximation is made as a first step in determining the effect of suction on the instability. It is shown that suction has a stabilizing effect on the flow while blowing is destabilizing. Small values of the suction parameter are found to significantly increase the critical Reynolds number associated with stationary modes of disturbances. The wave-angle of the spiral vortices which precede turbulent flow is estimated from critical conditions and is shown to decrease with increase in suction rate. This is shown to be consistent with prediction based on an inviscid analysis (cf Stuart in Gregory et. al 1955). The corresponding estimate of the expected number of vortices is shown to increase with suction. Suction appears to make the second minimum on the neutral curve (Malik 1986) more pronounced suggesting possible increase in the relative importance of the associated low wavenumber mode of disturbance.
false
Effect of Suction on the Stability of Flow on a Rotating Disk
151-167
1992
Manhar R
Dhanak
10.1007/978-1-4612-2956-8_16
doi
Interdisciplinary Engineering
Florida Atlantic University
Florida Atlantic University, 33431, Boca Raton, Florida FL, USA
Springer Nature - SN SciGraph project
Kumar
A.
Hussaini
M. Y.
pub.1020644419
dimensions_id
readcube_id
625d8316dd48c343616d868ab845be74767ea064ac42c1a31b0a4e85bc651f7b
Engineering
978-1-4612-2956-8
Instability, Transition, and Turbulence
978-1-4612-7732-3
New York, NY
Springer New York
Streett
C. L.