Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1929 · 99 citations · 0 references
EngineeringMechanical EngineeringPhysicsFluid DynamicsFluid MechanicsHeat TransferBoundary ConditionsBoundary LayersHydrodynamic StabilityMoving Boundary ProblemsThermal Boundary LayersViscous FlowBoundary Layer ConditionsInertia ForcesRayleigh-taylor InstabilityRotating Boundary LayersUnsteady Boundary ConditionsViscous Boundary LayerViscous InstabilityViscous Stability
Abstract 1. An analogy has been drawn by the present writer between Bénard's problem of the modes of instability of a layer of viscous fluid initially at rest under gravity between horizontal plane boundaries heated below and cooled above, and Prof. G. I. Taylor's problem of the modes of instability of a viscous fluid initially in steady cyclic motion under inertia forces between concentric circular cylinders rotating with constant unequal angular velocities. Rayleigh obtained a solution of Bénard's problem for two boundaries with no tangential forces between boundary and fluid, while in Taylor's problem there are two boundaries with no slip.