Numerical Heat Transfer · 1985 · 33 citations · 49 references
EngineeringMechanical EngineeringPhysicsComputational Fluid DynamicsFluid DynamicsHeat TransferBoundary-layer TheoryConvection DynamicsHeat Transfer AnalysisHeat Transfer In FluidsThermal Boundary LayersTransient Heat TransferAnalytical SolutionsBoundary Layer ConvectionBoussinesq EquationsDependent VariablesFree ConvectionNumerical SimulationThree-dimensional Computational Fluid DynamicsThree-dimensional Heat Transfer
The results of a three-dimensional numerical simulation of Boussinesq free convection in a horizontal differentially heated cylinder are presented. The computation was based on the Samarskii-Andreyev scheme and a false transient advancement in time, with vorticity, velocity, and temperature as dependent variables. Solutions for velocity and temperature distributions were obtained for Rayleigh numbers (based on the radius) 74 ≤ Ra ≤ 18,700, thus covering the core- and boundary-layer-driven regimes. Numerical solutions are compared with asymptotic, analytical solutions, and experimental data. The numerical results well represent the complex three-dimensional flows found experimentally.
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Notes on numerical fluid mechanics
Albertus Smith · Computer Methods in Applied Mechanics and Engineering · 1981 · 933 citations
Laminar free convection in a vertical slot
J. W. Elder · Journal of Fluid Mechanics · 1965 · 452 citations