A shape Hessian-based analysis of roughness effects on fluid
flows   A shape Hessian-based analysis of roughness effects on
fluid flows  Show full record  Title: A shape Hessian-based
analysis of roughness effects on fluid flows Author: Yang, Shan
Abstract: The flow of fluids over solid surfaces is an integral
part of many technologies, and the analysis of such flows is
important to the design and operation of these technologies.
Solid surfaces, however, are generally rough at some scale, and
analyzing the effects of such roughness on fluid flows
represents a significant challenge. There are two fluid flow
situations in which roughness is particularly important, because
the fluid shear layers they create can be very thin, of order
the height of the roughness. These are very high Reynolds number
turbulent wall-bounded flows (the viscous wall layer is very
thin), and very low Reynolds number lubrication flows (the
lubrication layer between moving surfaces is very thin).
Analysis in both of these flow domains ha