Stability and transition in shear flows

By: Schmid, Peter JContributor(s): Henningson, Dan SMaterial type: TextTextPublication details: New York: Springer, [c2001]Description: 556 pISBN: 9781461265641LOC classification: QA1
Contents:
1. Introduction and General Results I Temporal Stability of Parallel Shear Flows 2. Linear Inviscid Analysis 3. Eigensolutions to the Viscous Problem 4. The Viscous Initial Value Problem 5. Nonlinear Stability II Stability of Complex Flows and Transition 6. Temporal Stability of Complex Flows 7. Growth of Disturbances in Space 8. Secondary Instability 9. Transition to Turbulence
Summary: The field of hydrodynamic stability has a long history, going back to Rey­ nolds and Lord Rayleigh in the late 19th century. Because of its central role in many research efforts involving fluid flow, stability theory has grown into a mature discipline, firmly based on a large body of knowledge and a vast body of literature. The sheer size of this field has made it difficult for young researchers to access this exciting area of fluid dynamics. For this reason, writing a book on the subject of hydrodynamic stability theory and transition is a daunting endeavor, especially as any book on stability theory will have to follow into the footsteps of the classical treatises by Lin (1955), Betchov & Criminale (1967), Joseph (1971), and Drazin & Reid (1981). Each of these books has marked an important development in stability theory and has laid the foundation for many researchers to advance our understanding of stability and transition in shear flows.
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1. Introduction and General Results

I Temporal Stability of Parallel Shear Flows
2. Linear Inviscid Analysis
3. Eigensolutions to the Viscous Problem
4. The Viscous Initial Value Problem
5. Nonlinear Stability

II Stability of Complex Flows and Transition
6. Temporal Stability of Complex Flows
7. Growth of Disturbances in Space
8. Secondary Instability
9. Transition to Turbulence

The field of hydrodynamic stability has a long history, going back to Rey­ nolds and Lord Rayleigh in the late 19th century. Because of its central role in many research efforts involving fluid flow, stability theory has grown into a mature discipline, firmly based on a large body of knowledge and a vast body of literature. The sheer size of this field has made it difficult for young researchers to access this exciting area of fluid dynamics. For this reason, writing a book on the subject of hydrodynamic stability theory and transition is a daunting endeavor, especially as any book on stability theory will have to follow into the footsteps of the classical treatises by Lin (1955), Betchov & Criminale (1967), Joseph (1971), and Drazin & Reid (1981). Each of these books has marked an important development in stability theory and has laid the foundation for many researchers to advance our understanding of stability and transition in shear flows.

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