The Physics of Fluids · 1960 · 32 citations · 7 references
EngineeringMechanical EngineeringPhysicsFluid DynamicsHeat TransferThermodynamicsBoundary-layer TheoryHeat FlowHeat Transfer AnalysisHeat Transfer In FluidsSteady-state Heat TransferThermal Boundary LayersConvectionConvection Cell DynamicsConvective Heat TransferFree ConvectionHeat Transfer In Boundary LayersHeat TransportSteady-state ConvectionThermal Convection
The character of heat transport by cellular convection, which arises beyond the marginal state of stability in a layer of fluid bound between two constant temperature surfaces is examined. It is shown that a simple equation characterizes the heat transport in the neighborhood of the marginal state of stability when the convection is steady, and its cellular pattern of motion is represented by the solutions of the linear theory. The results of the study include all three cases of boundary conditions, namely, when the bounding surfaces of the layer are both free, are both rigid, or one is free and the other is rigid.
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Finite amplitude cellular convection
Willem V. R. Malkus, George Veronis · Journal of Fluid Mechanics · 1958 · 657 citations
On the non-linear mechanics of hydrodynamic stability
J. T. Stuart · Journal of Fluid Mechanics · 1958 · 526 citations