A revisit of Navier–Stokes equation
Copyright policy )A revisit of Navier–Stokes equation
The authors studies the assumptions that serve as the base to derive the Navier-Stokes equation, focusing on the stress tensor and its symmetry. Along the history of the equation, its success, and challenges it is facing, the classical derivation is traced. Then the viscous stress tensor and surface forces are discussed for better understanding of the tensor and its components. The point is to separate the friction from the stress components, making it a special surface force. Several inconsistencies of the equation are described and asymmetric stress tensor is proposed. The equation is derived from the new assumptions, both for incompressible and compressible case: in the latter case, with modified assumptions compared to the classical ones. The author hopes that deriving the same equation from a more physical background would be of use.
Compressible Navier-Stokes equations, viscous stress tensor, surface force, Navier-Stokes equations for incompressible viscous fluids, asymmetric stress tensor, Navier-Stokes equations, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, symmetry, general gas dynamics
Compressible Navier-Stokes equations, viscous stress tensor, surface force, Navier-Stokes equations for incompressible viscous fluids, asymmetric stress tensor, Navier-Stokes equations, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, symmetry, general gas dynamics
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