In this work, we simulated a flow over a point heat source flush-mounted on a vertical uniform temperature wall. Our numerical study was accomplished by integrating the governing equations by the finite volume control method. The flow was assumed to be incompressible and laminar, with constant temperature properties except for the Boussinesq assumption of the dependence of specific mass on temperature. The results are presented for two- and three-dimensional cases for Rayleigh number equal to 106. The numerical results confirm the theoretical scales, provided by similarity methods in literature, for the decay of the centerplane-to-normal temperature excess ratio with the downstream coordinate. We also show that these scales are valid not only for the region far downstream from the heat source, as stated in similarity analyses, but also for the region near the discrete heat source. The spanwise-surface temperature excess ratio is also presented. In this plane, a transition from two- to three-dimensional behavior can be seen in the similarity scales close to and far from the heat source, although this transition occurred closer than in the case of a flow over an adiabatic wall.
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Preliminary Study of Natural Convection Due to a Small Heat Source on an Isothermal Wall
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Dias, T, Jr., & Milanez, LF. "Preliminary Study of Natural Convection Due to a Small Heat Source on an Isothermal Wall." Proceedings of the 2010 14th International Heat Transfer Conference. 2010 14th International Heat Transfer Conference, Volume 7. Washington, DC, USA. August 8–13, 2010. pp. 81-87. ASME. https://doi.org/10.1115/IHTC14-22508
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