Suppression of turbulence and travelling waves in a vertical heated pipe

Marensi E, He S, Willis AP. 2021. Suppression of turbulence and travelling waves in a vertical heated pipe. Journal of Fluid Mechanics. 919, A17.

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Author
Marensi, ElenaIST Austria; He, Shuisheng; Willis, Ashley P.
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Abstract
Turbulence in the flow of fluid through a pipe can be suppressed by buoyancy forces. As the suppression of turbulence leads to severe heat transfer deterioration, this is an important and undesirable phenomenon in both heating and cooling applications. Vertical flow is often considered, as the axial buoyancy force can help drive the flow. With heating measured by the buoyancy parameter ๐ถ, our direct numerical simulations show that shear-driven turbulence may either be completely laminarised or it transitions to a relatively quiescent convection-driven state. Buoyancy forces cause a flattening of the base flow profile, which in isothermal pipe flow has recently been linked to complete suppression of turbulence (Kรผhnen et al., Nat. Phys., vol. 14, 2018, pp. 386โ€“390), and the flattened laminar base profile has enhanced nonlinear stability (Marensi et al., J. Fluid Mech., vol. 863, 2019, pp. 50โ€“875). In agreement with these findings, the nonlinear lower-branch travelling-wave solution analysed here, which is believed to mediate transition to turbulence in isothermal pipe flow, is shown to be suppressed by buoyancy. A linear instability of the laminar base flow is responsible for the appearance of the relatively quiescent convection driven state for ๐ถโ‰ณ4 across the range of Reynolds numbers considered. In the suppression of turbulence, however, i.e. in the transition from turbulence, we find clearer association with the analysis of He et al. (J. Fluid Mech., vol. 809, 2016, pp. 31โ€“71) than with the above dynamical systems approach, which describes better the transition to turbulence. The laminarisation criterion He et al. propose, based on an apparent Reynolds number of the flow as measured by its driving pressure gradient, is found to capture the critical ๐ถ=๐ถ๐‘๐‘Ÿ(๐‘…๐‘’) above which the flow will be laminarised or switch to the convection-driven type. Our analysis suggests that it is the weakened rolls, rather than the streaks, which appear to be critical for laminarisation.
Publishing Year
Date Published
2021-07-25
Journal Title
Journal of Fluid Mechanics
Acknowledgement
The anonymous referees are kindly acknowledged for their useful suggestions andcomments.
Volume
919
Article Number
A17
ISSN
eISSN
IST-REx-ID

Cite this

Marensi E, He S, Willis AP. Suppression of turbulence and travelling waves in a vertical heated pipe. Journal of Fluid Mechanics. 2021;919. doi:10.1017/jfm.2021.371
Marensi, E., He, S., & Willis, A. P. (2021). Suppression of turbulence and travelling waves in a vertical heated pipe. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2021.371
Marensi, Elena, Shuisheng He, and Ashley P. Willis. โ€œSuppression of Turbulence and Travelling Waves in a Vertical Heated Pipe.โ€ Journal of Fluid Mechanics. Cambridge University Press, 2021. https://doi.org/10.1017/jfm.2021.371.
E. Marensi, S. He, and A. P. Willis, โ€œSuppression of turbulence and travelling waves in a vertical heated pipe,โ€ Journal of Fluid Mechanics, vol. 919. Cambridge University Press, 2021.
Marensi E, He S, Willis AP. 2021. Suppression of turbulence and travelling waves in a vertical heated pipe. Journal of Fluid Mechanics. 919, A17.
Marensi, Elena, et al. โ€œSuppression of Turbulence and Travelling Waves in a Vertical Heated Pipe.โ€ Journal of Fluid Mechanics, vol. 919, A17, Cambridge University Press, 2021, doi:10.1017/jfm.2021.371.
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