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TsAGI Science Journal

ISSN Imprimir: 1948-2590
ISSN En Línea: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2018026781
pages 29-41

ON THE COMPRESSIBLE COUETTE FLOW

Valerii Nikolaevich Golubkin
Central Aerohydrodynamic Institute (TsAGI), 1, Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation
Grigorii Borisovich Sizykh
Moscow Institute of Physics and Technology (MIPT), 9 Institutskiy Per., Dolgoprudny, 141700, Moscow Region, Russia

SINOPSIS

Two exact solutions of Navier–Stokes equations for steady compressible gas flow are found when the viscosity coefficient is related to temperature by the Sutherland formula. The first solution describes the plane shear flow between parallel plates moving with different velocities (analog to the incompressible Couette flow). The second solution is related to the shear flow between coaxial cylinders moving along the common axis. In the solutions obtained, all gas-dynamic parameters are expressed by elementary one-variable functions. The compressibility effects on shear stress as well as the velocity and temperature profiles are investigated, including their qualitatively different configurations.


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