Critique on “A Revisit of Navier-Stokes Equation”
In a recently published work (Sheng, 2020), Sheng identified inconsistencies in the concepts and principles leading to the Navier–Stokes equations and proposed a new asymmetric “friction tensor” to resolve these inconsistencies. We show that this friction tensor can be interpreted as the non-isotropic part of a vorticity-influenced viscous stress tensor following the analysis in Berdahl and Strang (1986). The asymmetric stress tensor however violates the principles of mechanical equilibrium in fluid flows that are free of external or body couples and is therefore non-physical in classical continuum hydrodynamics. We refute the arguments in favour of the asymmetric stress tensor in Sheng (2020) whilst also demonstrating that the friction tensor leads to the incorrect form of the Navier–Stokes equations in non-Cartesian co-ordinates and its ability to recover the correct governing equations in Cartesian co-ordinates is fortuitous.
- Research Organization:
- National Renewable Energy Lab. (NREL), Golden, CO (United States)
- Sponsoring Organization:
- USDOE Office of Energy Efficiency and Renewable Energy (EERE)
- DOE Contract Number:
- AC36-08GO28308
- OSTI ID:
- 1665851
- Report Number(s):
- NREL/JA-2C00-77881; MainId:31790; UUID:35c60433-0fe3-4027-9fff-0a3a6352a1f4; MainAdminID:18488
- Journal Information:
- European Journal of Mechanics, B/Fluids, Vol. 85
- Country of Publication:
- United States
- Language:
- English
A revisit of Navier–Stokes equation
|
journal | March 2020 |
Why is the Stress Tensor Symmetric?
|
journal | October 2012 |
Similar Records
Cartesian and contravariant formulations of the compressible Navier-Stokes equations applied to turbomachinery flows
Single-block Navier-Stokes integrator. Final report