Heat transport properties of plates with smooth and rough surfaces in turbulent thermal convection. (10th February 2014)

• Record Type: Journal Article
• Authors: Wei, Ping; Chan, Tak-Shing; Ni, Rui; Zhao, Xiao-Zheng; Xia, Ke-Qing
• Is Part Of: Journal of fluid mechanics. Volume 740(2014:Feb.)
• Page Start: 28
• Page End: 46
• Publication Date: 2014-02-10
• Subjects: Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2013.638
• Languages: English
• ISSNs: 0022-1120

Abstract

<abstract abstract-type="normal"> <title>Abstract</title> <p>We present an experimental study of turbulent thermal convection with smooth and rough surface plates in various combinations. A total of five cells were used in the experiments. Both the global <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgg43mm48c5" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><tex-math><![CDATA[$\mathit{Nu}$]]></tex-math></alternatives></inline-formula> and the <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgg43mm48dq" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><tex-math><![CDATA[$\mathit{Nu}$]]></tex-math></alternatives></inline-formula> for each plate (or the associated boundary layer) are measured. The results reveal that the smooth plates are insensitive to the surface (rough or smooth) and boundary conditions (i.e. nominally constant temperature or constant flux) of the other plate of the same cell. The heat transport properties of the rough plates, on the other hand, depend not only on the nature of the plate at the opposite side of the cell, but also on the boundary condition of that plate. It thus appears that, at the present level of experimental resolution, the smooth plate can influence the rough plate, but cannot be influenced by either the rough or the smooth plates. It is further found that the scaling of <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgg43mm488h" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><tex-math><![CDATA[$\mathit{Nu}$]]></tex-math></alternatives></inline-formula> with <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgg43mm4892" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><tex-math><![CDATA[$\mathit{Ra}$]]></tex-math></alternatives></inline-formula> for all of the smooth plates is consistent with the classical <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgg43mm486d" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><tex-math><![CDATA[$1/ 3$]]></tex-math></alternatives></inline-formula> exponent. But the scaling exponent for the global <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgg43mm48bm" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><tex-math><![CDATA[$\mathit{Nu}$]]></tex-math></alternatives></inline-formula> for the cell with both plates being smooth is definitely less than <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgg43mm483r" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><tex-math><![CDATA[$1/ 3$]]></tex-math></alternatives></inline-formula> (this result itself is consistent with all previous studies at comparable parameter range). The discrepancy between the <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgg43mm4849" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><tex-math><![CDATA[$\mathit{Nu}$]]></tex-math></alternatives></inline-formula> behaviour at the whole-cell and individual-plate levels is not understood and deserves further investigation.</p> </abstract>