Rigorous investigation of the Navier–Stokes momentum equations and correlation tensors
Source abstract
Abstract
An analytical solution to the Navier–Stokes momentum equations for a compressible flow with volume and small shear viscosities as well as external friction is presented while the dynamic viscosity is set to zero. The demonstrated methodology holds in d dimensions. However, in this study, the three-dimensional case is considered in detail. The analytical solution blows up at finite times T, which is determined by a cubic relation if the initial flow velocity is not divergence-free. The existence of T is a necessary and sufficient condition for implementing a singularity. Nonetheless, for external friction μe>T−1, all analytical expressions are smooth while the averaged expressions are smooth for all times.
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Research context
OpenAlex topics: Computational Fluid Dynamics and Aerodynamics · Fluid Dynamics and Turbulent Flows · Cosmology and Gravitation Theories
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Advanced Materials, Processes and Energies Technology Center, Turkish Aerospace , 06980 Ankara, Turkey
Funding
Scientific and Technological Research Council of Turkey
References (38)
Show source-provided references
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