Introduction to Flow Instability | Indian Institute of Space Science and Technology

Course

Undergraduate

Semester

Electives

Subject Code

AE495

Subject Title

Introduction to Flow Instability

Syllabus

Introduction to stability – Review of dynamical systems concepts – Instabilities of fluids at rest – Stability of open shear flows: Inviscid and viscous theory, spatio-temporal stability analysis (absolute and convective instabilities) – Parabolized stability equation – Transient growth – Introduction to global instabilities.

Text Books

Same as Reference

References

1. Charru, F., Hydrodynamic Instabilities, Cambridge Univ. Press (2011).

2. Drazin, P. G., Introduction to Hydrodynamic Stability, Cambridge Univ. Press (2002).

3. Drazin, P. G. and Reid, W. H., Hydrodynamic Stability, 2nd ed., CUP (2004).

4. Criminale, W. O., Jackson, T. L., and Joslin, R. D., Theory and Computation of Hydrodynamic Stability, Cambridge Univ. Press (2003).

5. Schmid, P. J. and Henningson, D. S., Stability and Transition in Shear Flows, Springer (2001).

6. Sengupta, T. K., The Instabilities of Flows and Transition to Turbulence, CRC Press (2012).