Large eddy simulation of fully developed turbulent flow in a rotating pipe

Large eddy simulation (LES) has been applied to study the fully developed turbulent pipe flow, in particular, to examine the effects of swirl driven by the rotating wall of the pipe. Experimental observations have shown that the intensity of turbulence in the rotating pipe decreases gradually with an increase in rotation rate due to the stabilizing effect of the centrifugal force. These experimentally observed phenomena are confirmed numerically using LES by comparing not only mean velocity profiles but also turbulent intensity and Reynolds stresses at two different rotation rates. The performance of two different subgrid scale models, a dynamical model and the usual Smagorinsky model, has also been assessed for the case of fully developed turbulent swirling flow. A brief description of the numerical methods used with an efficient hybrid Fourier multigrid pressure solver is presented. Particular attention has been paid to the numerical treatment of boundary conditions at the centreline.

[1]  D. Lilly,et al.  A proposed modification of the Germano subgrid‐scale closure method , 1992 .

[2]  Zhiyin Yang,et al.  Large-Eddy Simulation of Separated Boundary Layer Transition , 1997 .

[3]  Jerry Westerweel,et al.  Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment , 1994, Journal of Fluid Mechanics.

[4]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[5]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[6]  U. Schumann Subgrid Scale Model for Finite Difference Simulations of Turbulent Flows in Plane Channels and Annuli , 1975 .

[7]  M. Nallasamy,et al.  Turbulence models and their applications to the prediction of internal flows: a review , 1987 .

[8]  M. Murakami,et al.  Development of Three-Dimensional Turbulent Boundary Layer in an Axially Rotating Pipe , 1983 .

[9]  Shigeki Imao,et al.  Turbulent characteristics of the flow in an axially rotating pipe , 1996 .

[10]  Mitsukiyo Murakami,et al.  Turbulent Flow in Axially Rotating Pipes , 1980 .

[11]  M. Murakami,et al.  Flow in an Axially Rotating Pipe : A calculation of flow in the saturated region , 1983 .

[12]  S. Hirai,et al.  Predictions of the Laminarization Phenomena in an Axially Rotating Pipe Flow , 1988 .

[13]  Paolo Orlandi,et al.  Direct simulations of turbulent flow in a pipe rotating about its axis , 1997, Journal of Fluid Mechanics.

[14]  R. Verzicco,et al.  A Finite-Difference Scheme for Three-Dimensional Incompressible Flows in Cylindrical Coordinates , 1996 .

[15]  Peter R. Voke,et al.  NUMERICAL STUDY OF BYPASS TRANSITION , 1995 .

[16]  K. Lilly On the application of the eddy viscosity concept in the Inertial sub-range of turbulence , 1966 .

[17]  Hans Beer,et al.  Fluid flow and heat transfer in an axially rotating pipe—I. Effect of rotation on turbulent pipe flow , 1989 .

[18]  J. Deardorff A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers , 1970, Journal of Fluid Mechanics.

[19]  A. White,et al.  Flow of a Fluid in an Axially Rotating Pipe , 1964 .