An Analysis Methodology for Internal Swirling Flow Systems With a Rotating Wall

1991 ◽  
Vol 113 (1) ◽  
pp. 83-90 ◽  
Author(s):  
M. Williams ◽  
W. C. Chen ◽  
G. Bache´ ◽  
A. Eastland
Keyword(s):  
Reynolds Number ◽  
Turbulence Model ◽  
Gas Turbines ◽  
High Reynolds Number ◽  
Rotating Disk ◽  
Rotating Wall ◽  
Analysis Methodology ◽  
Flow Systems ◽  
Flow Through ◽  
High Reynolds

This paper presents an analysis methodology for the calculation of the flow through internal flow components with a rotating wall such as annular seals, impeller cavities, and enclosed rotating disks. These flow systems are standard components in gas turbines and cryogenic engines and are characterized by subsonic viscous flow and elliptic pressure effects. The Reynolds-averaged Navier-Stokes equations for turbulent flow are used to model swirling axisymmetric flow. Bulk-flow or velocity profile assumptions aren’t required. Turbulence transport is assumed to be governed by the standard two-equation high Reynolds number turbulence model. A low Reynolds number turbulence model is also used for comparison purposes. The high Reynolds number turbulence model is found to be more practical. A novel treatment of the radial/swirl equation source terms is developed and used to provide enhanced convergence. Homogeneous wall roughness effects are accounted for. To verify the analysis methodology, the flow through Yamada seals, an enclosed rotating disk, and a rotating disk in a housing with throughflow are calculated. The calculation results are compared to experimental data. The calculated results show good agreement with the experimental results.

scholarly journals An Analysis Methodology for Internal Swirling Flow Systems With a Rotating Wall

1989 ◽  
Author(s):  
M. Williams ◽  
W. C. Chen ◽  
G. Bache ◽  
A. Eastland
Keyword(s):  
Reynolds Number ◽  
Turbulence Model ◽  
Gas Turbines ◽  
High Reynolds Number ◽  
Rotating Disk ◽  
Rotating Wall ◽  
Analysis Methodology ◽  
Flow Systems ◽  
Flow Through ◽  
High Reynolds

This paper presents an analysis methodology for the calculation of the flow through internal flow components with a rotating wall such as annular seals, impeller cavities and enclosed rotating disks. These flow systems are standard components in gas turbines and cryogenic engines and are characterized by subsonic viscous flow and elliptic pressure effects. The Reynolds averaged Navier-Stokes equations for turbulent flow are used to model swirling axisymmetric flow. Bulk-flow or velocity profile assumptions aren’t required. Turbulence transport is assumed to be governed by the standard two-equation high Reynolds number turbulence model. A low Reynolds number turbulence model is also used for comparison purposes. The high Reynolds number turbulence model is found to be more practical. A novel treatment of the radial/swirl equation source terms is developed and used to provide enhanced convergence. Homogeneous wall roughness effects are accounted for. To verify the analysis methodology, the flow through Yamada seals, an enclosed rotating disk, and a rotating disk in a housing with throughflow are calculated. The calculation results are compared to experimental data. The calculated results show good agreement with the experimental results.

scholarly journals Enhanced wall turbulence model for flow over cylinder at high Reynolds number

AIP Advances ◽  
2019 ◽  
Vol 9 (9) ◽  
pp. 095012 ◽  
Author(s):  
A. Aravind Raghavan Sreenivasan ◽  
B. Kannan Iyer
Keyword(s):  
Reynolds Number ◽  
Turbulence Model ◽  
High Reynolds Number ◽  
Wall Turbulence ◽  
Flow Over Cylinder ◽  
High Reynolds

scholarly journals On the boundary layer structure near a highly permeable porous interface

2016 ◽  
Vol 798 ◽  
pp. 88-139 ◽  
Author(s):  
Mohit P. Dalwadi ◽  
S. Jonathan Chapman ◽  
Sarah L. Waters ◽  
James M. Oliver
Keyword(s):  
Reynolds Number ◽  
High Reynolds Number ◽  
Layer Structure ◽  
Three Dimensional ◽  
Interfacial Stress ◽  
Far Field ◽  
Dimensional Problem ◽  
Flow Through ◽  
High Reynolds ◽  
Porous Obstacle

The method of matched asymptotic expansions is used to study the canonical problem of steady laminar flow through a narrow two-dimensional channel blocked by a tight-fitting finite-length highly permeable porous obstacle. We investigate the behaviour of the local flow close to the interface between the single-phase and porous regions (governed by the incompressible Navier–Stokes and Darcy flow equations, respectively). We solve for the flow in these inner regions in the limits of low and high Reynolds number, facilitating an understanding of the nature of the transition from Poiseuille to plug to Poiseuille flow in each of these limits. Significant analytical progress is made in the high Reynolds number limit, and we explore in detail the rich boundary layer structure that occurs. We derive general results for the interfacial stress and for the conditions that couple the flow in the outer regions away from the interface. We consider the three-dimensional generalization to unsteady laminar flow through and around a tight-fitting highly permeable cylindrical porous obstacle within a Hele-Shaw cell. For the high Reynolds number limit, we give the coupling conditions and interfacial stress in terms of the outer flow variables, allowing information from a nonlinear three-dimensional problem to be obtained by solving a linear two-dimensional problem. Finally, we illustrate the utility of our analysis by considering the specific example of time-dependent forced far-field flow in a Hele-Shaw cell containing a porous cylinder with a circular cross-section. We determine the internal stress within the porous obstacle, which is key for tissue engineering applications, and the interfacial stress on the boundary of the porous obstacle, which has applications to biofilm erosion. In the high Reynolds number limit, we demonstrate that the fluid inertia can result in the cylinder experiencing a time-independent net force, even when the far-field forcing is periodic with zero mean.

scholarly journals Prediction of Heat Transfer For Turbulent Flow in Rotating Radial Duct

1995 ◽  
Vol 2 (1) ◽  
pp. 51-58
Author(s):  
P. Tekriwal
Keyword(s):  
Heat Transfer ◽  
Experimental Data ◽  
Reynolds Number ◽  
Turbulence Model ◽  
High Reynolds Number ◽  
Low Reynolds Number ◽  
Rotating Flows ◽  
Wall Function ◽  
Model Predictions ◽  
High Reynolds

The objective of the current modeling effort is to validate the numerical model and improve upon the prediction of heat transfer in rotating systems. Low-Reynolds number turbulence model (without the wall function) has been employed for three-dimensional heat transfer predictions for radially outward flow in a square cooling duct rotating about an axis perpendicular to its length. Computations are also made using the standard and extended high-Reynolds number kturbulence models (in conjunction with the wall function) for the same flow configuration. The results from all these models are compared with experimental data for flows at different rotation numbers and Reynolds number equal to 25,000. The results show that the low-Reynolds number model predictions are not as good as the high-Re model predictions with the wall function. The wall function formulation predicts the right trend of heat transfer profile and the agreement with the data is within 30% or so for flows at high rotation number. Since the Navier-Stokes equations are integrated all the way to wall in the case of low-Re model, the computation time is relatively high and the convergence is rather slow, thus rendering the low-Re model as an unattractive choice for rotating flows at high Reynolds number.The extended k-ε turbulence model is also employed to compute heat transfer for rotating flows with uneven wall temperatures and uniform wall heat flux conditions. The comparison with the experimental data available in literature shows that the predictions on both the leading wall and the trailing wall are satisfactory and within 5-25% agreement.

scholarly journals High Reynolds Number Turbulence Model of Rotating Shear Flows

1983 ◽  
Vol 26 (219) ◽  
pp. 1534-1541 ◽  
Author(s):  
Shigeaki MASUDA ◽  
Hide S. KOYAMA ◽  
Ichiro ARIGA
Keyword(s):  
Reynolds Number ◽  
Turbulence Model ◽  
High Reynolds Number ◽  
Shear Flows ◽  
High Reynolds ◽  
Rotating Shear Flows

413 Effects of the Orbital Motion on the Boundary Layer Flow over a Rotating Disk under Orbital Motion at High Reynolds Number

2015 ◽  
Vol 2015.68 (0) ◽  
pp. 153-154
Author(s):  
Yasuhiro OKUMURA ◽  
Shinnosuke FUJIKAWA ◽  
Mizue MUNEKATA ◽  
Hiroyuki YOSHIKAWA ◽  
Kazuyuki KUDO
Keyword(s):  
Boundary Layer ◽  
Reynolds Number ◽  
Boundary Layer Flow ◽  
High Reynolds Number ◽  
Orbital Motion ◽  
Rotating Disk ◽  
Layer Flow ◽  
High Reynolds
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