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physics.flu-dyn2021★ 15 cited
New Governing Equations for Fluid Dynamics
Chaoqun Liu, Zhining Liu
There are several questions with NS, which include: 1. Both symmetric shear terms and stretching terms in strain and stress are coordinate-dependent and thus not Galilean invariant…
physics.flu-dyn2021
Principal Decomposition of Velocity Gradient Tensor in the Cartesian Coordinates
Chaoqun Liu, Yifei Yu, Yisheng Gao
Traditional Cauchy-Stokes decomposition of velocity gradient tensor gives a symmetric and an anti-symmetric subtensors which are called the strain-rate and vorticity tensors. There…
physics.flu-dyn2021
A mathematical study on the local fluid rotation axis
Charles Nottage, Yifei Yu, Chaoqun Liu
As widely recognized, vortex represents flow rotation. Vortex should have a local rotation axis as its direction and angular speed as its strength. Vorticity vector has been consid…