GSTDTAP  > 地球科学
DOI10.1175/JAS-D-17-0371.1
Buoyant Motion of a Turbulent Thermal
Tarshish, Nathaniel1; Jeevanjee, Nadir2; Lecoanet, Daniel3
2018-09-01
发表期刊JOURNAL OF THE ATMOSPHERIC SCIENCES
ISSN0022-4928
EISSN1520-0469
出版年2018
卷号75期号:9页码:3233-3244
文章类型Article
语种英语
国家USA
英文摘要

By introducing an equivalence between magnetostatics and the equations governing buoyant motion, we derive analytical expressions for the acceleration of isolated density anomalies (thermals). In particular, we investigate buoyant acceleration, defined as the sum of the Archimedean buoyancy B and an associated perturbation pressure gradient. For the case of a uniform spherical thermal, the anomaly fluid accelerates at 2B/3, extending the textbook result for the induced mass of a solid sphere to the case of a fluid sphere. For a more general ellipsoidal thermal, we show that the buoyant acceleration is a simple analytical function of the ellipsoid's aspect ratio. The relevance of these idealized uniform-density results to turbulent thermals is explored by analyzing direct numerical simulations of thermals at a Reynolds number (Re) of 6300. We find that our results fully characterize a thermal's initial motion over a distance comparable to its length. Beyond this buoyancy-dominated regime, a thermal develops an ellipsoidal vortex circulation and begins to entrain environmental fluid. Our analytical expressions do not describe the total acceleration of this mature thermal, but they still accurately relate the buoyant acceleration to the thermal's mean Archimedean buoyancy and aspect ratio. Thus, our analytical formulas provide a simple and direct means of estimating the buoyant acceleration of turbulent thermals.


领域地球科学
收录类别SCI-E
WOS记录号WOS:000442845600001
WOS关键词VERTICAL VELOCITY ; CUMULUS ; CONVECTION ; RESOLUTION ; PRESSURE ; UPDRAFT ; MASSES ; FLUID
WOS类目Meteorology & Atmospheric Sciences
WOS研究方向Meteorology & Atmospheric Sciences
引用统计
文献类型期刊论文
条目标识符http://119.78.100.173/C666/handle/2XK7JSWQ/29679
专题地球科学
作者单位1.Princeton Univ, Atmospher & Ocean Sci Program, Princeton, NJ 08544 USA;
2.Princeton Univ, Dept Geosci, Princeton, NJ 08544 USA;
3.Princeton Univ, Princeton Ctr Theoret Sci, Princeton, NJ 08544 USA
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GB/T 7714
Tarshish, Nathaniel,Jeevanjee, Nadir,Lecoanet, Daniel. Buoyant Motion of a Turbulent Thermal[J]. JOURNAL OF THE ATMOSPHERIC SCIENCES,2018,75(9):3233-3244.
APA Tarshish, Nathaniel,Jeevanjee, Nadir,&Lecoanet, Daniel.(2018).Buoyant Motion of a Turbulent Thermal.JOURNAL OF THE ATMOSPHERIC SCIENCES,75(9),3233-3244.
MLA Tarshish, Nathaniel,et al."Buoyant Motion of a Turbulent Thermal".JOURNAL OF THE ATMOSPHERIC SCIENCES 75.9(2018):3233-3244.
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