yalin, m -.doc

Schlichting, H. (1979). Boundary Layer Theory. Part A. Fundamental laws of motion for a viscous fluid 1. Outline of fluid motion with friction. Real and perfect fluids. Viscosity. Compressibility. The Hagen-Poiseuille equations of flow through a pipe. Principle of similarity; the Reynolds and Mach numbers. Comparison between the theory of perfect fluids and experiment. 2. Outline of boundary-layer theory. The boundary-layer concept. Separation and vortex formation. Turbulent flow ina pipe and ina boundary layer. 3. Derivation of the equations of motion pressible viscous fluid (Navier-Stokes equations). Fundamental equations of motion and continuity applied to fluid flow. The rate at which a fluid element is strained in flow. Relation between stress and rate of deformation. Stokes ’ hypothesis. Bulk viscosity and thermodynamic pressure. The Navier-Stokes equations. 4. General properties of the Navier-Stokes equations. Derivation of Reynolds ’ principle of similarity from the Navier-Stokes equations. Frictionless flow as“ solutions ”of the Navier- Stokes equations. The Navier-Stokes equations interpreted as vorticity transport equations. The limiting case of very large viscosity (very small Reynolds number). The limiting case of very small viscous forces (very large Reynolds number). Mathematical illustration of the process of going to the limit ?? R . 5. Exact solutions of the N