| Article |
|---|
| Article name |
Nonlinear Resistance and Vorticity of the Fluid Flow Between Two Coaxial Rotating Cylinders |
| Authors |
Shablovsky O.N. Doctor of Physics and Mathematics, Professor, shablovsky-on@yandex.ruKroll D.G. Candidate of Physics and Mathematics, Associate Professor, kr-dmitry@yandex.ruKontsevoy I.A. Senior Lecturer, ivankon@yandex.ru |
| Bibliographic description |
Shablovskiy O. N., Krol’ D. G, Kontsevoy I. A. Nonlinear Resistance and Vorticity of the Fluid Flow Between Two Coaxial Rotating Cylinders // Scholarly Notes Of Transbaikal State University. Series Physics, Mathematics, Engineering, Technology. 2016. Vol. 11, No 4. P. 59-68. DOI:10.21209/2308-8761-2016-11-4-59-68. |
| Section |
MATHEMATICAL MODELS OF DYNAMIC PROCESSES |
| UDK |
532.516 |
| DOI |
10.21209/2308-8761-2016-11-4-59-68 |
| Article type |
|
| Annotation |
А new exact analytical solution for the stationary flow of a viscous fluid between two coaxial cylinders is given. The main point of the hydrodynamical model is the external Rayleigh friction force. Isothermal and non-isothermal regimes of the fluid flow are considered. We present two types of non-isothermal behaviour of the effective coefficient of external resistance on account of the flow temperature. Namely we regard elevation/decrease of the resistance coefficient at the rise of temperature. We have established that the main element of analytical structures of the profiles of velocity and temperature is sine function with a logarithmic coordinate as an argument. We present the flow variants referring to movable and stationary cylinders. We determined a series of functional connections between vorticity and flow parameters: “pressure gradient — vorticity”, “heat flux — vorticity”, “viscous stress — vorticity”, etc. An ambiguous dependence of the flow vorticity on the shear viscous strain is discovered. The properties of isothermal and non-isothermal flows are presented in graphical form. Formation of profiles of velocity, pressure, resistance coefficient, viscous shear strain and vorticity is discussed. It is established that the temperature of the cylinder’s movable wall can regulate the flow vorticity. Namely, there can exist a temperature of zero vorticity.
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| Key words |
cylindrical flow, Rayleigh friction force, nonlinear resistance coefficient, vorticity |
| Article information |
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| References |
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