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physics.flu-dyn2025
Linear instability of plane Couette and Poiseuille flows
Sergey G. Chefranov, Alexander G. Chefranov
It is shown that linear instability of plane Couette flow can take place even at finite Reynolds numbers which meets with known experimental data. This new result of the linear the…
physics.flu-dyn2025
Revision of the linear stability paradox for known bounded shear flows
Sergey G. Chefranov, Alexander G. Chefranov
The well-known paradox of linear stability for the some bounded shear flows is not solved up to now and is bypassed on the basis of the non-linear mechanisms consideration. We prov…
physics.flu-dyn2025
Hagen-Poiseuille Flow Linear Stability Paradox Resolving and Viscous Dissipative Mechanism of the Turbulence Emergence in the Boundary Layer
Sergey G. Chefranov, Alexander G. Chefranov
In the linear theory of hydrodynamic stability up to now there exist examples of flows for which there is full quantitative distinction, as for cylindrical Hagen-Poiseuille (HP) fl…