An Analysis on the Flow in a Casing Induced by a Rotating Disk Using a Four-Layer Flow Model

1976 ◽  
Vol 98 (2) ◽  
pp. 192-198 ◽  
Author(s):  
Y. Senoo ◽  
H. Hayami
Keyword(s):  
Boundary Layer ◽  
Flow Field ◽  
Analytical Study ◽  
Flow Model ◽  
Equations Of Motion ◽  
Side Wall ◽  
Rotating Disk ◽  
Wall Boundary Layer ◽  
Through Flow ◽  
Layer Flow

An analytical study has been made to clarify the details of the flow between a rotating disk and a stationary casing side-wall with and without an axisymmetric inward through-flow. The flow field between the casing side-wall and the surface of the rotating disk is divided into four layers instead of three in earlier analyses. Proceeding from the casing side-wall to the disk, they are a wall boundary layer, an outward-flow layer, a core and a disk boundary layer. The flow field is determined so that the integrated equations of motion as well as the continuity equation are satisfied for each of the four layers. In the present analysis, least empirical informations relative to a rotating disk are used compared with the theories in the literature. The mechanics of the flow field is explained by the flow model without contradiction, and the predicted radial and axial distributions of velocity and the pressure distribution in the casing agree well with experimental results.

EXPERIMENTAL INVESTIGATION OF FLOW RESPONSE TO STATIONARY DISTURBANCE IN ROTATING-DISK FLOW

2019 ◽  
Vol XVI (2) ◽  
pp. 13-22
Author(s):  
Muhammad Ehtisham Siddiqui
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Three Dimensional ◽  
Rotating Disk ◽  
Careful Analysis ◽  
Laboratory Frame ◽  
Transition To Turbulence ◽  
Turbulent Regime ◽  
Mean Velocity ◽  
Layer Flow

Three-dimensional boundary-layer flow is well known for its abrupt and sharp transition from laminar to turbulent regime. The presented study is a first attempt to achieve the target of delaying the natural transition to turbulence. The behaviour of two different shaped and sized stationary disturbances (in the laboratory frame) on the rotating-disk boundary layer flow is investigated. These disturbances are placed at dimensionless radial location (Rf = 340) which lies within the convectively unstable zone over a rotating-disk. Mean velocity profiles were measured using constant-temperature hot-wire anemometry. By careful analysis of experimental data, the instability of these disturbance wakes and its estimated orientation within the boundary-layer were investigated.

scholarly journals An Analytical Study of Weakly Nonlinear Dynamics of a Walters’ Liquid B around a Flexible Sheet Undergoing Super Linear Stretching

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
P. G. Siddheshwar ◽  
A. Chan ◽  
U. S. Mahabaleswar
Keyword(s):  
Nonlinear Dynamics ◽  
Differential Equation ◽  
Boundary Layer ◽  
Analytical Study ◽  
Stretching Sheet ◽  
Quadratic Function ◽  
Weakly Nonlinear ◽  
Governing Differential Equation ◽  
Layer Flow ◽  
Analytical Expressions

The paper discusses the boundary layer flow of Walters’ liquid B over a stretching sheet. The stretching is assumed to be a quadratic function of the coordinate along the direction of stretching. The study encompasses within its realm both Walters’ liquid B and second order liquid. The velocity distribution is obtained by solving the nonlinear governing differential equation. Analytical expressions are obtained for stream function and velocity components as functions of the viscoelastic and stretching related parameters. It is shown that the viscoelasticity goes hand in hand with quadratic stretching in enhancing the lifting of the liquid as we go along the sheet.

scholarly journals A new way to describe the transition characteristics of a rotating-disk boundary-layer flow

2012 ◽  
Vol 24 (3) ◽  
pp. 031701 ◽  
Author(s):  
Shintaro Imayama ◽  
P. Henrik Alfredsson ◽  
R. J. Lingwood
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Rotating Disk ◽  
Layer Flow

A Method for Calculating Axial Turbomachine End Wall Turbulent Boundary Layers

1989 ◽  
Author(s):  
Kang Shun ◽  
Liu Fengjun ◽  
Wang Zhongqi
Keyword(s):  
Boundary Layer ◽  
Iterative Solution ◽  
Stream Surface ◽  
Wall Boundary Layer ◽  
Wall Boundary ◽  
Curvilinear Coordinate ◽  
Orthogonal Curvilinear Coordinate System ◽  
Layer Flow ◽  
End Wall ◽  
Differential And Integral Equations

Based on two families of relative stream-surface theory, the differential and integral equations of the endwall boundary layer in the S2 stream surface (hub to tip stream surface) have been established in the orthogonal curvilinear coordinate system in the present paper. By directly associating the blade force defects with the warping of S2 stream surface near the endwall, we have proposed a new method for predicting the endwall boundary layer. This method can be used to conduct the interactions of the end wall boundary layer with the S2 stream surface potentisl flow, in order to get the iterative solution of the end wall boundary layer flow with the potential flow in S2 stream surface. The predicted results have shown that the present method is acceptable.

Turbulent boundary-layer flow on a rotating disk

1969 ◽  
Vol 37 (1) ◽  
pp. 129-147 ◽  
Author(s):  
T-S. Cham ◽  
M. R. Head
Keyword(s):  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Rotating Disk ◽  
Circumferential Velocity ◽  
Auxiliary Equation ◽  
Two Dimensional ◽  
Free Air ◽  
Radial Profiles ◽  
Layer Flow ◽  
Momentum Integral

Calculations have been made of the development of the turbulent boundary layer on a disk rotating in free air, using circumferential and radial momentum-integral equations and an auxiliary equation of entrainment. In the calculations, circumferential velocity profiles are represented by Thompson's (1965) two-parameter family, while radial profiles are given by Mager's (1952) quadratic expression. The circumferential component of skin friction follows from the use of Thompson's profile family for the circumferential velocity. The entrainment, in dimensionless form, is assumed to be determined uniquely by the circumferential velocity profile in the same way as was proposed by Head (1958) for a two-dimensional turbulent boundary layer.Detailed measurements have been made of the development of the turbulent boundary layer on the rotating disk, and the calculations are found to be in excellent agreement with the results when a suitable adjustment is made to Head's two-dimensional entrainment curve.

scholarly journals The centrifugal instability of the boundary-layer flow over slender rotating cones

2014 ◽  
Vol 755 ◽  
pp. 274-293 ◽  
Author(s):  
Z. Hussain ◽  
S. J. Garrett ◽  
S. O. Stephen
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Rotating Disk ◽  
Alternative Formulation ◽  
Centrifugal Instability ◽  
Half Angle ◽  
Layer Flow ◽  
The Stability ◽  
Experimental And Theoretical Studies ◽  
Numerical Approaches

AbstractExisting experimental and theoretical studies are discussed which lead to the clear hypothesis of a hitherto unidentified convective instability mode that dominates within the boundary-layer flow over slender rotating cones. The mode manifests as Görtler-type counter-rotating spiral vortices, indicative of a centrifugal mechanism. Although a formulation consistent with the classic rotating-disk problem has been successful in predicting the stability characteristics over broad cones, it is unable to identify such a centrifugal mode as the half-angle is reduced. An alternative formulation is developed and the governing equations solved using both short-wavelength asymptotic and numerical approaches to independently identify the centrifugal mode.

Transfer of Heat in Rotating Systems

1976 ◽  
Author(s):  
A. D. Gosman ◽  
M. L. Koosinlin ◽  
F. C. Lockwood ◽  
D. B. Spalding
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Fluid Flow ◽  
Rotating Disk ◽  
Experimental Measurements ◽  
Steady Flows ◽  
Disk System ◽  
Rotating Systems ◽  
Flow And Heat Transfer ◽  
Layer Flow

A calculation procedure has been developed for predicting fluid-flow and heat-transfer phenomena in axisymmetrical, rotating, turbulent, steady flows, with special reference to those mainly confined within cavities. The procedure has been used for predicting boundary-layer flow between a rotating disk and a stationary one, and flow and heat transfer in a shrouded-disk system. Agreement with experimental measurements is satisfactory.

Effects of the Orbital Motion on the Velocity Field of Boundary Layer Flow over a Rotating Disk

2016 ◽  
Vol 2016 (0) ◽  
pp. G0500605
Author(s):  
Takaomi UTATSU ◽  
Yasuhiro OKUMURA ◽  
Mizue MUNEKATA ◽  
Hiroyuki YOSHIKAWA
Keyword(s):  
Boundary Layer ◽  
Velocity Field ◽  
Boundary Layer Flow ◽  
Orbital Motion ◽  
Rotating Disk ◽  
Layer Flow

G0500801 Effects of Orbital Velocity on the Boundary Layer Flow over a Rotating Disk under Orbital Motion

2015 ◽  
Vol 2015 (0) ◽  
pp. _G0500801--_G0500801-
Author(s):  
Yasuhiro OKUMURA ◽  
Mizue MUNEKATA ◽  
Hiroyuki YOSHIKAWA ◽  
Kazuyuki KUDO
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Orbital Motion ◽  
Rotating Disk ◽  
Orbital Velocity ◽  
Layer Flow
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