底面加熱立方体内における流体の周波数応答(流体工学,流体機械)

概要

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The authors conduct numerical and experimental investigations about the three-dimensional thermal convection in a cubic cavity heated below in the gravitational field. Frequency responses are analysed numerically concerning global quantities such as spatially-averaged kinetic energy, spatially-averaged internal energy and the Bejan number. We assume incompressible fluid with a constant Prandtl number Pr=7.1 (water) and Pr=130 (silicone oil). Tested Rayleigh number Ra is varied from 1.0×10^4 to 7.0×10^4. A set of the full Navier-Stokes equations with the Boussinesq approximation and an energy equation are solved by a finite difference method based on the MAC method with a staggered computational grid. As a result, the authors find the existence of one optimum frequency where we get the maximum frequency response, and find the relation between the optimum frequency and Ra. In addition, experimentally, the authors check their computation, using thermo-graph technology at Pr=2500 (silicone oil).
一般社団法人日本機械学会の論文
2006-02-25