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A numerical study of natural convection heat transfer in a vertically eccentric spherical annulus
Affiliation:1. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China;2. State Key Laboratory of Desert and Oasis Ecology, Xinjiang Institute of Ecology and Geography, Chinese Academy of Sciences, Urumqi 830001, PR China;1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;2. Department of Mathematics, College of Sciences, Shihezi University, Shihezi 832003, PR China;3. Cele National Station of Observation & Research for Desert Grassland Ecosystem, Xinjiang Institute of Ecology and Geography, Chinese Academy of Sciences, Urumqi 830011, PR China
Abstract:The results of a numerical investigation of the natural convection process between isothermal vertically eccentric spheres with hotter inner core, are being presented. The Grashof and the Prandtl numbers have been kept constant at 4×104 and 10 respectively. Eccentricities varying from −0.75 to +0.75 have been studied. From the numerical solution, it is possible to explain the average results obtained previously for the regime where the steady crescent flow pattern exists. Negative eccentricities have been found to enhance convection while positive eccentricities have the reverse effect. Results also show that heat transfer actually increases slightly for very high positive eccentricities where conduction plays an important role.
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