PMID: 11327960May 1, 2001Paper

Prandtl-number dependence of heat transport in turbulent Rayleigh-Bénard convection

Physical Review Letters
Guenter Ahlers, X Xu

Abstract

We present measurements of the Nusselt number N as a function of the Rayleigh number R and the Prandtl number sigma in cylindrical cells with aspect ratios gamma = 0.5 and 1.0. We used acetone, methanol, ethanol, and 2-propanol with Prandtl numbers sigma = 4.0, 6.5, 14.2, and 34.1, respectively, in the range 3x10(7) less, similarR less, similar10(11). At constant R, N(R,sigma) varies with sigma by only about 2%. This result disagrees with the extrapolation of the Grossmann and Lohse theory beyond its range of validity, which implies a decrease by 20% over our sigma range, but agrees with their recent extension of the theory to small Reynolds numbers.

References

Sep 15, 1990·Physical Review. a·B I Shraiman, E D Siggia
Apr 29, 2000·Nature·J J NiemelaR J Donnelly
Sep 16, 2000·Physical Review Letters·X XuG Ahlers
Apr 17, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G Ahlers
May 1, 2001·Physical Review Letters·S Grossmann, D Lohse

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Citations

Jul 14, 2012·The European Physical Journal. E, Soft Matter·F Chillà, J Schumacher
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M BreuerU Hansen
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Peichun TsaiStephen W Morris
May 16, 2007·Physical Review Letters·Xiaozhou HeKe-Qing Xia
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Guenter AhlersKazuyasu Sugiyama
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiaozhou He, Penger Tong
Apr 28, 2009·Physical Review Letters·Jin-Qiang ZhongGuenter Ahlers
Dec 15, 2016·Physical Review. E·Ambrish PandeyMahendra K Verma
Jul 23, 2008·Physical Review Letters·Xiao-Dong ShangKe-Qing Xia
Feb 2, 2013·Physical Review Letters·Keith JulienGeoffrey M Vasil
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ambrish PandeyPankaj K Mishra
Feb 28, 2002·Physical Review Letters·Ke-Qing XiaSheng-Qi Zhou
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Siu LamKe-Qing Xia
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·X-D ShangK-Q Xia
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Takashi MashikoMasaki Sano
Mar 5, 2004·Physical Review Letters·Peichun TsaiStephen W Morris
Mar 10, 2012·Physical Review Letters·Johannes BosbachGuenter Ahlers
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·X-L Qiu, P Tong
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Akira Furukawa, Akira Onuki
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Siegfried Grossmann, Detlef Lohse
May 1, 2001·Physical Review Letters·S Grossmann, D Lohse
Jun 1, 2004·Physical Review Letters·Denis Funfschilling, Guenter Ahlers
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Z A Daya, R E Ecke
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·François HébertGuenter Ahlers
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas H van den BergDaniel P Lathrop
Oct 4, 2003·Physical Review Letters·Alexei Nikolaenko, Guenter Ahlers
Mar 14, 2003·Physical Review Letters·X-D ShangK-Q Xia

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