Exact relations between Laplacian of near-wall scalar fields and surface quantities in incompressible viscous flow

Chen，Tao1; Liu，Tianshu2

2023-07-01

10.1016/j.euromechflu.2023.03.007

European Journal of Mechanics, B/Fluids   Impact Factor & Quartile

0997-7546

In this short paper, we derive the on-wall values and the wall-normal derivatives of the Laplacians of pressure and kinetic energy density at the wall for incompressible viscous flow past a stationary wall. The theoretical results reveal some interesting on-wall coupling pairs that are composed of the fundamental surface physical quantities (including skin friction, surface vorticity and surface pressure) and surface curvature. The exact results are valid for flow past any stationary curved wall, which are valuable for understanding the near-wall viscous flow very close to the wall.

Boundary vorticity dynamics Kinetic energy Laplacian Near-wall flow Pressure Surface quantities

English

First ; Corresponding

ENGINEERING

2-s2.0-85152231434

Scopus

1.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.Department of Mechanical and Aerospace Engineering,Western Michigan University,Kalamazoo,49008,United States

Chen，Tao,Liu，Tianshu. Exact relations between Laplacian of near-wall scalar fields and surface quantities in incompressible viscous flow[J]. European Journal of Mechanics, B/Fluids,2023,100:179-184.

Chen，Tao,&Liu，Tianshu.(2023).Exact relations between Laplacian of near-wall scalar fields and surface quantities in incompressible viscous flow.European Journal of Mechanics, B/Fluids,100,179-184.

Chen，Tao,et al."Exact relations between Laplacian of near-wall scalar fields and surface quantities in incompressible viscous flow".European Journal of Mechanics, B/Fluids 100(2023):179-184.