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ISSN Online: 2377-424X

International Heat Transfer Conference 4
August 31 - September 5, 1970, Paris-Versailles, France

A NUMERICAL EVALUATION OF THE THERMAL AND HYDRODYNAMIC CHARACTERISTICS OF LAMINAR CELLULAR CONVECTION BETWEEN RIGID HORIZONTAL SURFACES

Get access (open in a dialog) DOI: 10.1615/IHTC4.3480
pages 1-10

Abstract

Using difference forms of the controlling equations in a digital computer program, the thermal and hydrodynamic characteristics were determined for laminar cellular convection in a viscous fluid between rigid horizontal surfaces. A single hexagonal Bénard cell is idealized as consisting of a vertically oriented right circular cylinder with two-dimensional axisymmetric flow. Results were obtained for NPr = 1 and a cylinder diameter-toheight ratio of two for 1900 ≤ NRa ≤ 100 000. The critical value of NRa is 1795. The NNu versus NRa results agree reasonably with experimental data, and the temperature profiles agree well with available experimental data. In addition, the detailed temperature and velocity structures were computed.