On the unsteady rotating fluid flow in a uniformly rotating or fixed vertical cylinder

被引:0
|
作者
Ivchenko, Vladimir [1 ]
机构
[1] Kherson State Maritime Acad, Dept Nat Sci Training, UA-73000 Kherson, Ukraine
关键词
the unsteady fluid flow; a uniformly rotating cylinder; the dynamic surface profile; the angular velocity field;
D O I
10.1088/1361-6404/ab531e
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
In this paper we consider the properties of the transient process that always precedes (or completes) the onset (cessation) of steady fluid flow in a uniformly rotating vertical cylinder. First, we give an elementary (without using the Navier-Stokes equations) and detailed derivation of the equation describing the space and time distribution of angular speeds in a rotating viscous fluid. This expression is used further for the numerical construction of the dynamic surface profiles. We find that in the case of an abrupt stop of cylinder rotation, these profiles have an inflection point, while for an abrupt start of cylinder rotation such a peculiarity is absent. We provide a simple physical explication of this fact. The issues outlined in this article will be useful for undergraduate students studying the basics of fluid mechanics.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Unsteady MHD flow on a rotating cone in a rotating fluid
    Roy, S
    Takhar, HS
    Nath, G
    [J]. MECCANICA, 2004, 39 (03) : 271 - 283
  • [2] Unsteady MHD Flow on a Rotating Cone in a Rotating Fluid
    S. Roy
    H.S. Takhar
    G. Nath
    [J]. Meccanica, 2004, 39 : 271 - 283
  • [3] Unsteady mixed convection from a rotating vertical slender cylinder in an axial flow
    Singh, Param Jeet
    Roy, S.
    Pop, I.
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2008, 51 (5-6) : 1423 - 1430
  • [4] Accelerated micropolar fluid-flow past an uniformly rotating circular cylinder
    Siddiqui, Abuzar Abid
    [J]. AIP ADVANCES, 2016, 6 (10):
  • [5] UNSTEADY ROTATING FLOW IN A CYLINDER WITH A FREE SURFACE
    GOLLER, H
    RANOV, T
    [J]. JOURNAL OF BASIC ENGINEERING, 1968, 90 (04): : 445 - &
  • [6] UNSTEADY ROTATING FLOW IN A CYLINDER WITH A FREE SURFACE
    GOLLER, H
    RANOV, T
    [J]. MECHANICAL ENGINEERING, 1968, 90 (07): : 73 - &
  • [7] Unsteady mixed convection flow on a rotating cone in a rotating fluid
    Anilkumar, D
    Roy, S
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 155 (02) : 545 - 561
  • [8] HYDRODYNAMICS AND FLOW STRUCTURES OF A UNIFORMLY ROTATING CIRCULAR CYLINDER
    Liu, Tianyu
    Hu, Haibao
    Song, Jian
    Ren, Feng
    [J]. Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2024, 56 (04): : 928 - 942
  • [9] UNSTEADY-FLOW ARISING FROM ROTATING FLUID ABOVE A FIXED PLANE
    BANKS, WHH
    ZATURSKA, MB
    [J]. AIAA JOURNAL, 1979, 17 (11) : 1263 - 1265
  • [10] Steady flow of one uniformly rotating fluid layer above another immiscible uniformly rotating fluid layer
    Weidman, P. D.
    Turner, M. R.
    [J]. PHYSICAL REVIEW FLUIDS, 2019, 4 (08)