Transient natural convection in horizontal cylinders with constant cooling rate

1976 ◽  
Vol 9 (4) ◽  
pp. 215-225 ◽  
Author(s):  
M. Takeuchi ◽  
K. C. Cheng
1976 ◽  
Vol 98 (4) ◽  
pp. 581-587 ◽  
Author(s):  
K. C. Cheng ◽  
M. Takeuchi

A theoretical analysis is carried out to study the influence of an anomalous density-temperature relationship of water on the transient natural convection in horizontal cylinders with wall temperature decreasing at a uniform rate. Numercial solutions are obtained for three cases involving different cooling rates, pipe diameters, and initial uniform water temperatures for temperature conditions between 0 and 7°C. The transient flow and temperature fields, and local and overall heat transfer rates are presented to study the inversion of flow patterns caused by the maximum density at 4°C. The numerical results are compared with the experimental measurements and predictions of a quasi-steady boundary-layer model reported by Gilpin [2], and generally a good agreement is observed. Some implications on the subsequent freezing process are pointed out.


10.2514/3.944 ◽  
1997 ◽  
Vol 11 ◽  
pp. 595-597
Author(s):  
Young-Kil Yu ◽  
Ruey-Hung Chen ◽  
Larry Chew ◽  
K. Ramamurthi ◽  
K. Ravi

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