Bibliographic Metadata

Linear stability of the flow in a rectangular cavity driven by oblique lid motion / von Johannes Gugler
Additional Titles
Linear Stabilität der Strömung in einem schräg angetriebenen Rechteckbehälter
AuthorGugler, Johannes
Thesis advisorKuhlmann, Hendrik Christoph
PublishedWien, 2019
Description139 Seiten
Institutional NoteTechnische Universität Wien, Diplomarbeit, 2019
Arbeit an der Bibliothek noch nicht eingelangt - Daten nicht geprueft
Document typeThesis (Diplom)
Keywords (DE)Behälterströmung / hydrodynamische Stabilität
Keywords (EN)cavity flow / hydrodynamic stability
URNurn:nbn:at:at-ubtuw:1-121435 Persistent Identifier (URN)
 The work is publicly available
Linear stability of the flow in a rectangular cavity driven by oblique lid motion [14.8 mb]
Abstract (English)

This thesis is about a linear stability analysis for the lid driven cavity problem.The system of choice consists of a two dimensional rectangular box in x- and y-direction, extended to infinity in the 3rd dimension (z-axis). The top lidof the box is moving tangentially to itself with a constant velocity and an inclination angle with respect to the x-axis in the z-direction. In this thesisa Python program using the FEniCS library is written to simulate the flowand perform a stability analysis. The lid driven cavity is a benchmark systemdue to the simple rectangular geometry and therefore much theoretical workhas already been done, which allows to test the written code and assure thecorrectness of the results. A linear stability analysis is carried out and the criticalReynolds numbers are determined as functoins of the cross-sectional aspectration and the direction of lid motion. The energy budget of critical modes isanalyzed using the Reynolds-Orr equation. For some parameter combinations,new modes are found at lower Reynolds numbers than already published results.The correctness of the present results is verified by full 3-dimensionalflow simulations.

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