An experimental investigation of natural convection in a horizontal cylinder

Author:

Brooks Irving H.,Ostrach Simon

Abstract

This work deals with an experimental investigation of natural convection inside a horizontal cylinder. The fluid, geometry, and thermal boundary condition were chosen so as to have a high Prandtl number and unit-order Grashof number.The thermal boundary condition was established by imposing temperatures at two points, 180° apart, on the circumference of the cylinder. The resulting boundary condition for the full 360° was found experimentally and is presented. The apparatus was constructed so that the entire cylinder could be rotated in order to introduce an arbitrary heating angle into the boundary condition.Temperature profiles and streamline patterns were observed at steady state for various values of this heating angle and for various initial conditions. For some cases, velocity profiles were also plotted. It was found that the interior ‘core’ of fluid was thermally stratified when the diameter containing the two imposed temperatures was horizontal. The flow occurred primarily in the region close to the cylinder wall. The cylinder was rotated so that the diameter containing the two imposed temperatures made an angle with the horizontal. The hotter of the imposed temperatures was always below the horizontal diameter of the cylinder. As this angle of rotation increased, it was found that the velocities encountered in the fluid increased and the degree of thermal stratification in the core region decreased. It was also found that the steady-state results were identical for the different initial conditions imposed. The results of this study are compared with previous work, both analytic and experimental.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference19 articles.

1. Ostrach, S. 1950 A boundary layer problem in the theory of free convection. Ph.D. Thesis, Brown University.

2. Somerville, R. C. J. 1967 A nonlinear spectral model of convection in a fluid unevenly heated from below.J. Atmos. Sci. 24,665.

3. Ostrach, S. 1968 Completely confined natural convection, developments in mechanics, 4.Proc. Tenth Midwestern Mechanics Conf. Johnson Publishing Co.

4. Elder, J. W. 1966 Numerical experiments with free convection in a vertical slot.J. Fluid Mech. 24,823.

5. De Vahl Davis, G. 1967 Laminar natural convection in a rectangular cavity.Rep. no. F–67–2, School of Engr. and Science, New York Univ.

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