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- W2131465340 abstract "An analytical study was made of the natural convection induced in an enclosure by a small hot spot centrally located on the floor. The enclosure was a circular cylinder, vertically oriented, with height equal to radius. A Prandtl number of 0.7 (air) was assumed; the Grashof number ( Gr ) was based on cylinder height and hot spot temperature. The equations of fluid flow in axisymmetric cylindrical co-ordinates were simplified with the Boussinesq approximation. The equations were solved numerically with a computationally stable, explicit method. The computation, starting from quiescent conditions, proceeded through the initial transient to the fully developed flow. Solutions were obtained for Gr from 4 × 10 4 to 4 × 10 10 . The theoretical flows are in excellent agreement with experimentally observed laminar flows ( Gr [lsim ] 1.2 × 10 9 ) which are discussed in a companion paper, Torrance, Orloff & Rockett (1969). Turbulence was observed experimentally for Gr [gsim ] 1.2 × 10 9 . When the theoretical calculations were extended to Gr = 4 × 10 10 , a periodic vortex shedding developed, suggestive of the onset of laminar instability. The theoretical results reveal a √ Gr scaling for the initial flow transients and, at large Gr , the velocities and heat transfer rates." @default.
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- W2131465340 date "1969-03-27" @default.
- W2131465340 modified "2023-09-27" @default.
- W2131465340 title "Numerical study of natural convection in an enclosure with localized heating from below—creeping flow to the onset of laminar instability" @default.
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- W2131465340 doi "https://doi.org/10.1017/s0022112069001492" @default.
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