Von Kármán's swirling flow problem

1969 ◽  
Vol 33 (2) ◽  
pp. 91-102 ◽  
Author(s):  
J. B. McLeod
Keyword(s):  
Flow Problem ◽  
Swirling Flow

Comparison of a Nonlinear k-ε Turbulence Closure Model With Stress Transport Models

1993 ◽  
Author(s):  
Muhammad A. R. Sharif ◽  
Yat-Kit E. Wong
Keyword(s):  
Pipe Flow ◽  
Flow Problem ◽  
Swirling Flow ◽  
Transport Model ◽  
Turbulent Pipe Flow ◽  
Turbulence Closure ◽  
Closure Model ◽  
Transport Models ◽  
Mean Velocity ◽  
Turbulence Closure Model

Abstract The performance of a nonlinear k-ϵ turbulence closure model (NKEM), in the prediction of isothermal incompressible turbulent flows, is compared with that of the stress transport models such as the differential Reynolds stress transport model (RSTM) and the algebraic stress transport model (ASTM). Fully developed turbulent pipe flow and confined turbulent swirling flow with a central non-swirling jet are numerically predicted using the Marker and Cell (MAC) finite difference method. Comparison of the prediction with the experiment show that all three models perform reasonably well for the pipe flow problem. For the swirling flow problem, the RSTM and ASTM is superior than the NKEM. RSTM and ASTM provide good agreement with measured mean velocity profiles. However, the turbulent stresses are over- or under-predicted. NKEM performs badly in prediction of mean velocity as well as the turbulent stresses.

22.—On the Non-existence of Solutions to the Generalised Swirling Flow Problem

1975 ◽  
Vol 72 (3) ◽  
pp. 271-273
Author(s):  
P. J. Bushell
Keyword(s):  
Boundary Conditions ◽  
Flow Problem ◽  
Existence Of Solutions ◽  
Swirling Flow ◽  
Image Position

1. The generalisation of von Kármán's equations of swirling flow studied by Serrin [7] and Hartman [3, 4] is the systemwith the boundary conditionsWhen α = β = ½ this system reduces to von Kármán's equations studied by several authors recently (see [1, 6] for many references).

Asymptotic analysis to Von Kármán swirling-flow problem

2019 ◽  
Vol 33 (25) ◽  
pp. 1950298 ◽  
Author(s):  
Chun-Yan Wang
Keyword(s):  
Asymptotic Analysis ◽  
Numerical Simulations ◽  
High Precision ◽  
Flow Problem ◽  
Swirling Flow ◽  
Asymptotic Solutions ◽  
Von Karman ◽  
Renormalization Method ◽  
Von Kármán ◽  
Homotopy Renormalization Method

In this paper, we consider the Von Kármán swirling-flow problem, which is described by an ordinary equations system. The explicit asymptotic solutions are given by applying the homotopy renormalization method. Furthermore, the numerical simulations verify that our asymptotic solutions have high precision and the absolute errors are less than 0.03, which means that the results obtained are truly valid and can be used practically.

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