Syllabus
Derivation of basic equations for viscous fluid flow, including heat conduction and compressibility – exact solutions.
Laminar boundary layer approximations – similar and non-similar boundary layers – momentum integral methods – separation of boundary layer – compressible boundary layer equations – recovery factor – Reynolds analogy – similar solutions.
Introduction to transition of laminar boundary layers.
Turbulent flows – phenomenological theories – Reynolds stress – turbulent boundary layer – momentum integral methods – turbulent free shear layer.
Introduction to axisymmetric and three-dimensional boundary layers.
Text Books
- Same as Reference
References
1. Schlichting, H. and Gersten, K., Boundary Layer Theory, 8th ed., McGraw Hill (2001).
2. Batchelor, G. K., Introduction to Fluid Dynamics, 2nd ed., Cambridge Univ. Press (2000).
3. White, F. M., Viscous Fluid Flow, 3rd ed., McGraw Hill (2006).
4. Cebeci, T. and Smith, A. M. O., Analysis of Turbulent Boundary Layers, Academic Press (1974).
5. Gatski, T. B. and Bonnet, J.-P. Compressibility, Turbulence and High Speed Flow, 2nd ed., Academic Press (2013).
Course Outcomes (COs):
CO1: Apply relevant approximations in governing equations suitable for a particular problem to understand the flow physics.
CO2: Apply concepts from the boundary layer theory to compute and /or understand the drag and heat transfer in laminar flows.
CO3: Apply concepts from the statistical description of turbulence to understand the flow char- acteristics.
CO4: Able to compute numerical solutions for boundary layer equations.
CO5: Analyse the results from analytical and numerical solutions and disseminate the findings in the form of reports.