Natural convection; Polymer; Viscoelastic; Direct numerical simulation DNS; FENE-P; Heat transfer
Abstract :
[en] The effects of viscoelasticity, here caused by polymer additives, on Rayleigh Bénard convection flows are investigated via direct numerical simulations at a marginally turbulent Rayleigh number. Simulations with a range of polymer length and relaxation time scales show heat transfer enhancement (HTE) and reduction (HTR). The selection of HTE and HTR depends strongly on the maximum extensional viscosity of the solution, whereas the magnitude of heat transfer modification is a function of both the maximum extensional viscosity and relaxation time of the polymer solution. The underlying physics of HTE and HTR are explored, and a mechanism of the interaction between convection cells and polymers is proposed. The findings are extrapolated to high Ra to shed some new light onto experimental observations of HTR.
Research Center/Unit :
A&M - Aérospatiale et Mécanique - ULiège
Disciplines :
Mechanical engineering
Author, co-author :
Dubief, Yves; University of Vermont
Terrapon, Vincent ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Modélisation et contrôle des écoulements turbulents
Language :
English
Title :
Heat transfer enhancement and reduction in low-Rayleigh number natural convection flow with polymer additives
Publication date :
25 March 2020
Journal title :
Physics of Fluids
ISSN :
1070-6631
eISSN :
1089-7666
Publisher :
American Institute of Physics, United States - New York
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Bibliography
C. White and M. Mungal, "Mechanics and prediction of turbulent drag reduction with polymer additives," Annu. Rev. Fluid Mech. 40, 235-256 (2008). 10.1146/annurev.fluid.40.111406.102156
G. Ahlers and A. Nikolaenko, "Effect of a polymer additive on heat transport in turbulent Rayleigh-Bénard convection," Phys. Rev. Lett. 104, 034503 (2010). 10.1103/physrevlett.104.034503
P. Wei, R. Ni, and K.-Q. Xia, "Enhanced and reduced heat transport in turbulent thermal convection with polymer additives," Phys. Rev. E 86, 016325 (2012). 10.1103/physreve.86.016325
Y.-C. Xie, S.-D. Huang, D. Funfschilling, X.-M. Li, R. Ni, and K.-Q. Xia, "Effects of polymer additives in the bulk of turbulent thermal convection," J. Fluid Mech. 784, R3 (2015). 10.1017/jfm.2015.618
W. Cai, T. Wei, X. Tang, Y. Liu, B. Li, and F. Li, "The polymer effect on turbulent Rayleigh-Bénard convection based on PIV experiments," Exp. Therm. Fluid Sci. 103, 214-221 (2019). 10.1016/j.expthermflusci.2019.01.011
J. Lumley, "Drag reduction by additives," Annu. Rev. Fluid Mech. 1, 367-384 (1969). 10.1146/annurev.fl.01.010169.002055
M. Escudier, A. Nickson, and R. Poole, "Turbulent flow of viscoelastic shear-Thinning liquids through a rectangular duct: Quantification of turbulence anisotropy," J. Non-Newtonian Fluid Mech. 160, 2-10 (2009). 10.1016/j.jnnfm.2009.01.002
P. Ptasinski, F. Nieuwstadt, B. Van Den Brule, and M. Hulsen, "Experiments in turbulent pipe flow with polymer additives at maximum drag reduction," Flow, Turbul. Combust. 66, 159-182 (2001). 10.1023/a:1017985826227
G. Ahlers, S. Grossmann, and D. Lohse, "Heat transfer and large scale dynamics in turbulent Rayleigh-bénard convection," Rev. Mod. Phys. 81, 503 (2009). 10.1103/revmodphys.81.503
J.-P. Cheng, H.-N. Zhang, W.-H. Cai, S.-N. Li, and F.-C. Li, "Effect of polymer additives on heat transport and large-scale circulation in turbulent Rayleigh-Bénard convection," Phys. Rev. E 96, 013111-1-013111-11 (2017). 10.1103/physreve.96.013111
R. Benzi, E. Ching, and E. De Angelis, "Effect of polymer additives on heat transport in turbulent thermal convection," Phys. Rev. Lett. 104, 024502 (2010). 10.1103/physrevlett.104.024502
J.-P. Cheng, J.-G. Qu, H.-N. Zhang, W.-H. Cai, L. Shen, S.-N. Li, and F.-C. Li, "Steady laminar plume generated from a heated line in polymer solutions," Phys. Fluids 31, 103101 (2019). 10.1063/1.5112819
J.-P. Cheng, W.-H. Cai, H.-N. Zhang, F.-C. Li, L. Shen, and S.-Z. Qian, "Numerical study on the dynamic process of single plume flow in thermal convection with polymers," Phys. Fluids 31, 023105 (2019). 10.1063/1.5083195
F. Busse, "Non-linear properties of thermal convection," Rep. Prog. Phys. 41, 1929 (1978). 10.1088/0034-4885/41/12/003
E. D. Siggia, "High Rayleigh number convection," Annu. Rev. Fluid Mech. 26, 137-168 (1994). 10.1146/annurev.fl.26.010194.001033
R. Kerr and J. Herring, "Prandtl number dependence of Nusselt number in direct numerical simulations," J. Fluid Mech. 419, 325-344 (2000). 10.1017/s0022112000001464
R. Verzicco and K. R. Sreenivasan, "A comparison of turbulent thermal convection between conditions of constant temperature and constant heat flux," J. Fluid Mech. 595, 203-219 (2008). 10.1017/s0022112007009135
R. Bird, R. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Kinetic Theory Vol. 2 (Wiley-Interscience, 1987).
Y. Dubief, V. Terrapon, C. White, E. Shaqfeh, P. Moin, and S. Lele, "New answers on the interaction between polymers and vortices in turbulent flows," Flow, Turbul. Combust. 74, 311-329 (2005). 10.1007/s10494-005-9002-6
Y. Dubief, C. White, V. Terrapon, E. Shaqfeh, P. Moin, and S. Lele, "On the coherent drag-reducing and turbulence-enhancing behaviour of polymers in wall flows," J. Fluid Mech. 514, 271-280 (2004). 10.1017/s0022112004000291
V. Terrapon, Y. Dubief, P. Moin, E. Shaqfeh, and S. Lele, "Simulated polymer stretch in a turbulent flow using Brownian dynamics," J. Fluid Mech. 504, 61-71 (2004). 10.1017/s0022112004008250
D. Samanta, Y. Dubief, M. Holzner, C. Schäfer, A. N. Morozov, C. Wagner, and B. Hof, "Elasto-inertial turbulence," Proc. Natl. Acad. Sci. U. S. A. 110, 10557-10562 (2013). 10.1073/pnas.1219666110
Y. Dubief, V. E. Terrapon, and J. Soria, "On the mechanism of elasto-inertial turbulence," Phys. Fluids 25, 110817 (2013). 10.1063/1.4820142
V. E. Terrapon, Y. Dubief, and J. Soria, "On the role of pressure in elasto-inertial turbulence," J. Turbul. 16, 26-43 (2014). 10.1080/14685248.2014.952430
S. Sid, V. E. Terrapon, and Y. Dubief, "Two-dimensional dynamics of elasto-inertial turbulence and its role in polymer drag reduction," Phys. Rev. Fluids 3, 011301 (2018). 10.1103/physrevfluids.3.011301
J. M. Lopez, G. H. Choueiri, and B. Hof, "Dynamics of viscoelastic pipe flow at low Reynolds numbers in the maximum drag reduction limit," J. Fluid Mech. 874, 699-719 (2019). 10.1017/jfm.2019.486
A. N. Kolmogorov, Proc. Math and Phys. Sci. 434, 9-13 (1991). 10.1098/rspa.1991.0075
G. K. Batchelor, I. D. Howells, and A. A. Townsend, "Small-scale variation of convected quantities like temperature in turbulent fluid Part 2. The case of large conductivity," J. Fluid Mech. 5, 134-139 (1959). 10.1017/s0022112059000106
B. Vajipeyajula, T. Khambampati, and R. A. Handler, "Dynamics of a single buoyant plume in a FENE-P fluid," Phys. Fluids 29, 091701 (2017). 10.1063/1.4986749
C. Truesdell, The Kinematics of Vorticity (Dover Books on Physics, 2018).
Y. Dubief and F. Delcayre, "On coherent-vortex identification in turbulence," J. Turbul. 1, N11 (2000). 10.1088/1468-5248/1/1/011
M. Herrchen and H. Öttinger, "A detailed comparison of various FENE dumbbell models," J. Non-Newtonian Fluid Mech. 68, 17-42 (1997). 10.1016/s0377-0257(96)01498-x
K. Kim, R. Adrian, S. Balachandar, and R. Sureshkumar, "Dynamics of hairpin vortices and polymer-induced turbulent drag reduction," Phys. Rev. Lett. 100, 134504 (2008). 10.1103/physrevlett.100.134504
S. Grossmann and D. Lohse, "Scaling in thermal convection: A unifying theory," J. Fluid Mech. 407, 27-56 (2000). 10.1017/s0022112099007545
I. Otić, G. Grötzbach, and M. Wörner, "Analysis and modelling of the temperature variance equation in turbulent natural convection for low-Prandtl-number fluids," J. Fluid Mech. 525, 237-261 (2005). 10.1017/s0022112004002733
R. J. Adrian, R. T. Ferreira, and T. Boberg, "Turbulent thermal convection in wide horizontal fluid layers," Exp. Fluids 4, 121-141 (1986). 10.1007/bf00280263
R. Benzi, E. S. Ching, and V. W. Chu, "Heat transport by laminar boundary layer flow with polymers," J. Fluid Mech. 696, 330-344 (2012). 10.1017/jfm.2012.46
B. I. Shraiman and E. D. Siggia, "Heat transport in high-Rayleigh-number convection," Phys. Rev. A 42, 3650 (1990). 10.1103/physreva.42.3650
S. Tamano, M. Itoh, S. Hotta, K. Yokota, and Y. Morinishi, "Effect of rheological properties on drag reduction in turbulent boundary layer flow," Phys. Fluids 21, 055101 (2009). 10.1063/1.3137163
R. Antonia, J. Kim, and L. Browne, "Some characteristics of small-scale turbulence in a turbulent duct flow," J. Fluid Mech. 233, 369-388 (1991). 10.1017/s0022112091000526
Polyethylene oxide and polyacrylamide
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