Experiments on transient thermal convection with internal heating — large time results

M. Keyhani, F. A. Kulacki

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Experimental data and correlations are presented for the time scales of developing and decaying thermal convection with volumetric heating in a horizontal layer. The layer is bounded by rigid surfaces, with an insulated lower boundary and an isothermal upper boundary. The time for complete flow development/decay, as a result of a step change in volumetric heat generation, is simply parameterized in terms of the Fourier number for the layer, the step change in Rayleigh number, ∆Ra, and the initial/final dimensionless maximum core temperature. For developing flows, ∆Ra > 0, results are in good agreement with existing experiments and an approximate boundary layer theory. In decaying flows, Fourier numbers are larger than those of previously reported experiments for a motionless final state. Data for turbulent-to-turbulent transitions when ∆Ra < 0 suggests that the approximate boundary layer theory underestimates the Fourier number. Experimental uncertainties on measured Fourier numbers are generally well within the limits of uncertainty allowed by the approximate theory.

Original languageEnglish (US)
Pages (from-to)261-266
Number of pages6
JournalJournal of Heat Transfer
Issue number2
StatePublished - May 1983

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