From Navier-Stokes exact solutions to boundary layer theory and stability analysis.
Beyond the Basics: Tackling Advanced Fluid Mechanics Problems (With Solutions) advanced fluid mechanics problems and solutions
Specifically: Show that a necessary condition for the existence of an exponentially growing normal mode disturbance is that ( U''(y) ) changes sign somewhere in the flow (i.e., ( U(y) ) has an inflection point). From Navier-Stokes exact solutions to boundary layer theory
– next time, we’ll tackle potential flow past a cylinder, the d’Alembert paradox, and how boundary layers resolve it. the d’Alembert paradox
Find the velocity profile ( u(y) ), the volumetric flow rate per unit width, and the shear stress on the bottom plate.
