Object

Title: Effects of the control parameters on the stability of a laminar boundary layer on a porous flat plate

Contributor:

Jurczak, Paweł - red.

Group publication title:

IJAME, volume 26 (2021)

Abstract:

This work is devoted to the analysis of the linear temporal stability of a laminar dynamic boundary layer on a horizontal porous plane plate. The basic flow is assumed to be laminar and two-dimensional. The basic flow velocity profiles are obtained by numerically solving the Blasius equation using the Runge-Kutta method. ; The perturbations of these basic solutions are expressed in the form of three-dimensional Tollmien-Schlichting waves. The formulation of the stability problem leads to the Orr-Sommerfeld equation modified by the permeability parameter (Darcy number) and the small Reynolds number. This equation is given in a general form which can be applied to the Chebyshev domain and the boundary layer domain and solved numerically using the Chebyshev spectral collocation method. ; The marginal stability diagrams, the critical Reynolds numbers and the eigenvalue spectra are obtained for different values of the parameters which have modified the stability equation. Numerical solutions indicate the importance of the effect of these parameters on the flow stability characteristics.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Format:

application/pdf

Resource Identifier:

oai:zbc.uz.zgora.pl:69547

DOI:

10.2478/ijame-2021-0053

Pages:

113-127

Source:

IJAME, volume 26, number 4 (2021)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

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