Relations between skin friction and other surface quantities in viscous flows

Chen，Tao1; Liu，Tianshu2,3; Wang，Lian Ping2,4; Chen，Shiyi1,2

2019-10-01

10.1063/1.5120454

PHYSICS OF FLUIDS   影响因子和分区

1070-6631

1089-7666

This paper presents the derivations of the exact relations between skin friction and other important dynamical and kinematical quantities on a stationary curved surface in a viscous flow by applying the standard methods of differential geometry to the governing partial differential equations in fluid mechanics. In particular, the mathematical structures of the effects of the surface curvature are explicitly expressed, which extend the previous results on a flat surface. These relations reveal that skin friction is intrinsically coupled with surface pressure, temperature, and scalar concentration through the boundary enstrophy flux, heat flux, and mass flux, respectively. As an example, the relation between skin friction and surface pressure is examined in the Oseen flow over a sphere to elucidate the significant effect of the surface curvature at a very small Reynolds number. Two other validation examples are a gravity-driven creeping liquid film flow over a wavy surface and the Falkner-Skan flow over a wedge. Furthermore, the relation is applied to a simulated turbulent channel flow to explore the local near-wall coherent structure and understand its dynamical roles in turbulence production.

EI ; SCI

英语

通讯

Southern University of Science and Technology[] ; National Center for Atmospheric Research[] ; National Natural Science Foundation of China[] ; National Natural Science Foundation of China[91741101]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000506026700051

American Institute of Physics Inc.

20194207529221

Channel flow ; Curve fitting ; Fluid mechanics ; Friction ; Geometry ; Heat flux ; Liquid films ; Reynolds number ; Viscous flow

Fluid Flow, General:631.1 ; Heat Transfer:641.2 ; Mathematics:921 ; Numerical Methods:921.6 ; Mechanics:931.1

PHYSICS

2-s2.0-85073107234

Scopus

1.SKLTCSCollege of EngineeringPeking University,Beijing,100871,China
2.Department of Mechanics and Aerospace EngineeringSouthern University of Science and Technology,Shenzhen,China
3.Department of Mechanical and Aerospace EngineeringWestern Michigan University,Kalamazoo,49008,United States
4.Department of Mechanical EngineeringUniversity of Delaware,Newark,19716,United States

Chen，Tao,Liu，Tianshu,Wang，Lian Ping,et al. Relations between skin friction and other surface quantities in viscous flows[J]. PHYSICS OF FLUIDS,2019,31(10).

Chen，Tao,Liu，Tianshu,Wang，Lian Ping,&Chen，Shiyi.(2019).Relations between skin friction and other surface quantities in viscous flows.PHYSICS OF FLUIDS,31(10).

Chen，Tao,et al."Relations between skin friction and other surface quantities in viscous flows".PHYSICS OF FLUIDS 31.10(2019).