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NATURAL CONVECTION IN A HORIZONTAL CYLINDER AT LARGE PRANDTL NUMBERS.
Scientific rept. 1963-1964,
CASE INST OF TECH CLEVELAND OH FLUID THERMAL AND AEROSPACE SCIENCES
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This work deals with the natural convection of a fluid confined within an infinite horizontal cylinder, at large Prandtl numbers and unit order Grashof numbers. The fluid motion is generated by means of a cosine temperature distribution imposed circumferentially on the cylinder wall. An arbitrary phase angle is included in this distribution in order to investigate a variety of heating configurations ranging from the heated-from-the-side to the heated-from-below case. The governing equations are solved using a technique only recently applied to problems of this nature, known as the modified Oseen linearization. The mathematical simplifications inherent in a large Prandtl number analysis make it possible to scrutinize carefully this technique, and both its simplifications and shortcomings are discussed. Key assumptions in the analysis are carefully examined and ambiguities appearing in earlier work are pointed out. An experimental investigation of natural convection phenomena in a viscous silicone oil confined in a horizontal cylinder is made, and the results are compared with theory. The experimental equipment was designed so that a cosine temperature distribution could be maintained on the cylinder wall. Author
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