- Letter
- Access by Xinjiang University
Investigation of the influence of the dimensionless centrifugal work number on spanwise rotating channel low-speed compressible flow
Phys. Rev. Fluids 8, L121401 – Published 6 December, 2023
DOI: https://doi.org/10.1103/PhysRevFluids.8.L121401
Abstract
In the study of rotating channel flow, the key dimensionless parameters typically include the Reynolds number, rotation number, Prandtl number, and buoyancy number. Our research focused on comparing the flow characteristics between the enlarged model, analyzed under the rotating similarity theory, and the original channel flow. Significantly different flow behaviors were observed between these two cases. Through theoretical derivation and dimensional analysis, we identified a new significant parameter––the centrifugal work number. This parameter characterizes the ratio of centrifugal work to gas enthalpy in the rotating channel and plays a crucial role in measuring the compressibility of fluids within the rotating channel. Additionally, we utilized large-eddy simulation to validate the impact of the centrifugal work ratio on the flow state of the rotating channel, thus enhancing the similarity theory of rotating channel compressible flow.
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References (12)
- J. P. Johnston, Effects of system rotation on turbulence structure: A review relevant to turbomachinery flows, Int. J. Rotating Mach. 4, 97 (1998).
- S. N. Barua, Secondary flow in a rotating straight pipe, Proc. R. Soc. London, Ser. A 227, 133 (1954).
- I. Moon, Effect of Coriolis force on the turbulent boundary layer in rotating fluid machines, Ph.D. thesis, Gas Turbine Laboratory Rep. No. 74, Massachusetts Institute of Technology, 1964.
- R. Kristoffersen and H. I. Andersson, Direct simulations of low-Reynolds-number turbulent flow in a rotating channel, J. Fluid Mech. 256, 163 (1993).
- J. P. Johnston, R. M. Halleent, and D. K. Lezius, Effects of spanwise rotation on the structure of two-dimensional fully developed turbulent channel flow, J. Fluid Mech. 56, 533 (1972).
- T.-M. Liou, M.-Y. Chen, and K.-H. Chang, Spectrum analysis of fluid flow in a rotating two-pass duct with detached 90 ° ribs, Exp. Therm Fluid Sci. 27, 313 (2003).
- A. Di Sante and R. A. Van den Braembussche, Experimental study of the effects of spanwise rotation on the flow in a low aspect ratio diffuser for turbomachinery applications, Exp. Fluids 49, 585 (2010).
- J. Visscher and H. I. Andersson, Particle image velocimetry measurements of massively separated turbulent flows with rotation, Phys. Fluids 23, 075108 (2011).
- K. Nakabayashi and O. Kitoh, Turbulence characteristics of two-dimensional channel flow with system rotation, J. Fluid Mech. 528, 355 (2005).
- G. Brethouwer, Linear instabilities and recurring bursts of turbulence in rotating channel flow simulations, Phys. Rev. Fluids 1, 054404 (2016).
- G. Brethouwer, Statistics and structure of spanwise rotating turbulent channel flow at moderate Reynolds numbers, J. Fluid Mech. 828, 424 (2017).
- O. Grundestam, S. Wallin, and A. V. Johansson, Direct numerical simulations of rotating turbulent channel flow, J. Fluid Mech. 598, 177 (2008).