Natural Convection of Heat Generating Fluid within Horizontal Cylinder Natural Convection of Heat Generating Fluid within Horizontal Cylinder
Access this Article
Search this Article
The natural convection of a heat generating fluid within a horizontal cylinder has been studied analytically by solving the governing equations by a finite difference method. The rate of heat generation was assumed constant and distributed uniformly in the fluid. The surface temperature of the cylinder was considered isothermal. Computations were carried out on the case of Prandtl number Pr = 0.1, 1.0, 10 and 1000, and Rayleigh number from 10<SUP>2</SUP> to 10<SUP>8</SUP>. It was revealed that the velocity and temperature fields were little affected by Prandtl number in the range of Pr ≥ 1.0. The effect of natural convection on the heat transfer between the wall and fluid appeared at beyond Rayleigh number Ra = 10<SUP>4</SUP>, and became dominant at Ra ≥ 10<SUP>6</SUP>. Heat transfer experiments were also performed for the range of Ra = 3×10<SUP>3</SUP>-10<SUP>9</SUP> by using a NaCl solution of 0.05 mol/kg water in concentration. The calculated average Nusselt numbers were in good agreement with the experiments.
- Bulletin of JSME
Bulletin of JSME 29(254), 2547-2553, 1986
The Japan Society of Mechanical Engineers