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Transient natural convection heat transfer of fluids with variable viscosity between concentric and vertically eccentric spheres.

Author(s) : WU H. W., TSAI W. C., CHOU H. M.

Type of article: Article

Summary

Transient natural convection was analysed for the temperature dependent viscosity of fluids in spherical annulus and between two vertically eccentric spheres. Using a modified Sorenson's method to generate the grid line can achieve a grid system with orthogonality along all boundaries. The grid system is used with a weighting function scheme to discretize the general governing equation. Numerical solutions were obtained for Rayleigh numbers at a radius ratio of 2.0 with the dimensionless vertical eccentricity of the outer sphere for variable viscosity fluids at different Prandtl numbers (158, 405 and 720). The results of this analysis show that heat and flow patterns vary with the Rayleigh number and the eccentricity; the effect of variable viscosity was also investigated. The calculations applied to constant viscosity were compared with the results of other authors, and these comparison results are in agreement.

Details

  • Original title: Transient natural convection heat transfer of fluids with variable viscosity between concentric and vertically eccentric spheres.
  • Record ID : 2004-2157
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 47 - n. 8-9
  • Publication date: 2004/04

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