OCEN 678 Fluid Dynamics for Ocean and Environmental Engineering

S. Socolofsky 1

Von Karmans Momentum Integral

Learning Objectives: 1. Develop approximations to the exact solution by eliminating negligible contributions to

the solution using scale analysis 2. Identify and formulate the physical interpretation of the mathematical terms in solutions

to fluid dynamics problems

Topics/Outline: 1. Momentum integral concept 2. Derivation of von Karmans momentum integral 3. Application of the momentum integral to fitting of the sin() function to the Blasius

boundary layer

Reading:

Currie, I.G. (2003). Fundamental Mechanics of Fluids, third edition. Marcel Dekker, Inc.: New York. QA901 .C8 2003

Chapter 9 Kundu, P.K. and Cohen, I.M. (2008). Fluid Mechanics, fourth edition. Academic Press:

New York. QA901 .K86 2008, previous edition as electronic resource: QA901 .K86 2002eb

Chapter 10 Newman, J.N. (1977). Marine Hydrodynamics. The MIT Press: Cambridge, MA. VM156

.N48, also available as electronic resource: VM156 .N48 1977eb Chapter 3

Spurk, J.H. and Aksel, N. (2008). Fluid Mechanics, second edition. Springer Verlag: Berlin. TA357 .S68513 2008eb

Chapter 12