Catalog Course Description: The second course in a two-semester sequence providing a comprehensive and rigorous background in hydrodynamics for ocean engineering graduate students. This course will cover formulation of real-fluid flows, low and high Reynolds-number flows, boundary layers, and turbulence. Basic analytic and numerical methods of problem solving are used.

Instructor: Dr. P. Ananthakrishnan, Department of Ocean Engineering.

Office: 213 Engineering Building (Bldg. 36) Tel. 367-3463, email: ananth@oe.fau.edu.

Class Room: ST01

Class Hours: T Th 12:00-1:20 PM

Office Hours: M W F 3:00-5:00 PM; T Th 10:00-12:00 PM

Prerequisites: PHS4113 Mathematical Physics and EOC6185 Advanced Hydrodynamics I.

References:
1. F. M. White, Viscous Fluid Flow (required text book).

2. H. Schlichting, Boundary-Layer Theory.

3. P. G. Drazin and W. H. Reid, Hydrodynamic Stability.

Grading:
1. Homework, [10%]
2. Term Project, [20%]
3. Test 1, 04 February 1999, 12:30 -- 2:00 PM, [20%]
4. Test 2, 18 March 1999, 12:30 -- 2:00 PM, [20%]
5. Final Examination, 29 April 1999, 1:00 -- 4:00 PM, [30%]

Course Outline:
1.Governing Equations of Viscous Flow. Conservation (balance) laws, Transport theorem, Eulerian and Lagrangian description of fluid motion, invariance principle, constitutive equation for viscous fluids, Navier-Stokes equations.

2. Solutions to Navier-Stokes Equation. Poiseuille flow, Couette flow, Flow down an inclined plane, Ekman drift, Similarity solutions for rotating-disk and stagnation-point flows.

3. Laminar Boundary-Layer Solution. Derivation of boundary-layer equations for a flat plate, Definitions boundary-layer thickness, Displacement, momentum and energy thicknesses, Blasius solution, Integral relations for boundary layer, Approximate (von Karman, Pohlhausen) solutions to boundary-layer equations, Numerical methods for analysis of boundary-layers with and without pressure gradient.

4.Stability of Laminar Flows. Linear stability analysis, Stability of parallel flows, Rayleigh's theorem, Orr-Sommerfeld equations, Stability of various basic flows, Transition to turbulence.

5. Turbulent Flow. Reynolds equations, Turbulent flow in pipes and channels, Wall turbulent boundary layer.

Some Important Dates:
Last day to complete registration: -- January 1999
Last day to drop without receiving a W: -- January 1999
Last day to drop without receiving a F: -- March 1999

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Last updated: 24/Oct/98