Analysis of Wave Motions of a Viscous Incompressible Fluid on a Rotating Wall in the Presence of a Cross Flow.

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Title: Analysis of Wave Motions of a Viscous Incompressible Fluid on a Rotating Wall in the Presence of a Cross Flow.
Authors: Gurchenkov, A. A.1 (AUTHOR) challenge2005@mail.ru
Source: Fluid Dynamics. Apr2025, Vol. 60 Issue 2, p1-13. 13p.
Subjects: Boundary layer equations, Rotating fluid, Boundary layer (Aerodynamics), Viscous flow, Angular velocity
Abstract: The non-stationary problem of wave motions of a viscous incompressible fluid on a rotating plate is considered. An analytical solution of three-dimensional time-dependent hydrodynamic equations is given. The velocity field in flow of a viscous fluid that occupies half-space bounded by a plane wall is determined. The fluid together with the bounding plane rotates as a single whole at a constant angular velocity about a direction non-perpendicular to the plane. Non-stationary flow is induced by suddenly starting longitudinal oscillations of the wall and by injection (suction) of the medium produced along the normal to the wall surface. A number of special cases of wall motion are considered. Based on the obtained results, individual structures of the boundary layers near the wall are investigated. [ABSTRACT FROM AUTHOR]
Copyright of Fluid Dynamics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The non-stationary problem of wave motions of a viscous incompressible fluid on a rotating plate is considered. An analytical solution of three-dimensional time-dependent hydrodynamic equations is given. The velocity field in flow of a viscous fluid that occupies half-space bounded by a plane wall is determined. The fluid together with the bounding plane rotates as a single whole at a constant angular velocity about a direction non-perpendicular to the plane. Non-stationary flow is induced by suddenly starting longitudinal oscillations of the wall and by injection (suction) of the medium produced along the normal to the wall surface. A number of special cases of wall motion are considered. Based on the obtained results, individual structures of the boundary layers near the wall are investigated. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Fluid Dynamics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S0015462824604698
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      – Code: eng
        Text: English
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      – SubjectFull: Boundary layer equations
        Type: general
      – SubjectFull: Rotating fluid
        Type: general
      – SubjectFull: Boundary layer (Aerodynamics)
        Type: general
      – SubjectFull: Viscous flow
        Type: general
      – SubjectFull: Angular velocity
        Type: general
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      – TitleFull: Analysis of Wave Motions of a Viscous Incompressible Fluid on a Rotating Wall in the Presence of a Cross Flow.
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              Text: Apr2025
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