Linear stability analysis in compressible, flat-plate boundary-layers

Date

2008-01-01

Author

Özgen, Serkan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

183
views

0
downloads

The stability problem of two-dimensional compressible flat-plate boundary layers is handled using the linear stability theory. The stability equations obtained from three-dimensional compressible Navier-Stokes equations are solved simultaneously with two-dimensional mean flow equations, using an efficient shoot-search technique for adiabatic wall condition. In the analysis, a wide range of Mach numbers extending well into the hypersonic range are considered for the mean flow, whereas both two- and three-dimensional disturbances are taken into account for the perturbation flow. All fluid properties, including the Prandtl number, are taken as temperature-dependent. The results of the analysis ascertain the presence of the second mode of instability (Mack mode), in addition to the first mode related to the Tollmien-Schlichting mode present in incompressible flows. The effect of reference temperature on stability characteristics is also studied. The results of the analysis reveal that the stability characteristics remain almost unchanged for the most unstable wave direction for Mach numbers above 4.0. The obtained results are compared with existing numerical and experimental data in the literature, yielding encouraging agreement both qualitatively and quantitatively.

Subject Keywords

General Engineering, Condensed Matter Physics, Fluid Flow and Transfer Processes, Computational Mechanics

URI

https://hdl.handle.net/11511/37146

Journal

THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS

DOI

https://doi.org/10.1007/s00162-007-0071-0

Collections

Department of Aerospace Engineering, Article

Suggestions

OpenMETU
Core

Heat transfer effects on the stability of low speed plane Couette-Poiseuille flow Oezgen, Serkan; Dursunkaya, Zafer; Ebrinc, Ali Asian (Springer Science and Business Media LLC, 2007-10-01) The stability problem of low-speed plane Couette-Poiseuille flow of air under heat transfer effects is solved numerically using the linear stability theory. Stability equations obtained from two-dimensional equations of motion and their boundary conditions result in an eigenvalue problem that is solved using an efficient shoot-search technique. Variable fluid properties are accounted for both in the basic flow and the perturbation (stability) equations. A parametric study is performed in order to assess the...
Effect of heat transfer on stability and transition characteristics of boundary-layers Özgen, Serkan (Elsevier BV, 2004-10-01) Stability and transition problems of two dimensional boundary-layers with heated walls have been studied numerically using the linear stability theory. Incompressible stability equations have been modified to account for the variation of temperature dependent fluid properties across the layer. The equations obtained have been solved with an efficient shoot-search technique. Low speed flows of air and water have been analyzed with a wide range of heat transfer rates. In addition to the mean velocity profile ...
Pressure-velocity coupling algorithm-based pressure reconstruction from PIV for laminar flows Gunaydinoglu, Erkan; Kurtuluş, Dilek Funda (Springer Science and Business Media LLC, 2020-01-01) In this study, we propose a method to reconstruct pressure fields from planar particle image velocimetry measurements for laminar flows by employing semi-implicit method for pressure-linked equations algorithm to solve governing equations where measured velocities are inherently used as boundary conditions. The method starts with interpolating the measured velocity field on a staggered computational grid. The continuity equation, in the form of pressure equation for incompressible flows, is solved with this...
Fluid-structure interactions with both structural and fluid nonlinearities Bendiksen, O. O.; Seber, G. (Elsevier BV, 2008-08-19) In this study, we consider a class of nonlinear aeroelastic stability problems, where geometric nonlinearities arising from large deflections and rotations in the structure interact with aerodynamic nonlinearities caused by moving shocks. Examples include transonic panel flutter and flutter of transonic wings of high aspect ratio, where the presence of both structural and aerodynamic nonlinearities can have a dramatic qualitative as well as quantitative effect on the flutter behavior. Both cases represent i...
Participating media exposed to collimated short-pulse irradiation - A Laguerre-Galerkin solution Okutucu Özyurt, Hanife Tuba (Elsevier BV, 2007-10-01) A new method is developed for the solution of radiative transfer in a one-dimensional absorbing and isotropically scattering medium with short-pulse irradiation on one of its boundaries. The time-dependent radiative intensity is expanded in a series of Laguerre polynomials with time as the argument. Moments of the radiative transfer equation, as well as of the boundary conditions, then yield a set of coupled time-independent radiative transfer problems. This set, in turn, is reduced to a set of algebraic eq...

Citation Formats

S. Özgen, “Linear stability analysis in compressible, flat-plate boundary-layers,” THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, pp. 1–20, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37146.