Having discussed viscous flows at vanishing Reynolds numbers, we turn our attention to the diametrically opposite limit of inertia-dominated flows at high Reynolds numbers. Examining the changes in the structure of a flow with increasing Reynolds number, we encounter a broad variety of protocols accompanied by a rich phenomenology. In all cases, when the Reynolds number exceeds a critical threshold, flow instability arises and a small-scale turbulent motion is established. The theoretical study of the structure and dynamics of flows at high Reynolds numbers encompasses several complementary topics including potential-flow theory, boundary-layer theory, theory of hydrodynamic stability, theory of turbulent motion, and dynamics of vortex motion. Potential flow was considered in earlier sections; boundary-layer theory, hydrodynamic stability, and turbulent motion will be discussed in this chapter; and vortex motion will be the exclusive topic of Chapter 11.
KeywordsReynolds Number Wall Shear Stress High Reynolds Number Turbulent Motion Increase Reynolds Number
Unable to display preview. Download preview PDF.