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Transient conjugated heat transfer analysis from a sphere with nonlinear boundary conditions

Journal Article · · Journal of Computational Physics
;  [1];  [2]
  1. EG & G Idaho, Inc. Idaho Falls, Idaho (United States)
  2. Washington State Univ., Pullman, WA (United States)

The problem of conjugate unsteady convective and radiative heat transfer from a solid spherical particle is numerically investigated for Reynolds numbers up to 100 using a Chebyshev-Legendre spectral method. The treatment of nonlinear boundary condition of the radiation heat transfer from the sphere surface is assessed and successfully implemented. This work is an extension of the previous effort of simulating flow around a sphere using spectral method to include heat transfer. The assumptions of quasi-steady flow field for the unsteady heat transfer calculation is compared with the fully transient treatment of both the flow and the temperature fields. It is found that the quasi-steady assumption underestimates the overall heat transfer rate at very early time stages (up to 9% underestimation for the mean Nusselt number). However, the discrepancy becomes smaller as time elapses. The underprediction of the quasi-steady assumption becomes larger as the Reynolds number increases for a fixed Prandtl number. The results for different alternate radiation-conduction number cases are presented.

DOE Contract Number:
AC07-76ID01570
OSTI ID:
105486
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 115; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English

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