On Convection Currents in a Horizontal Layer of Fluid, when the Higher Temperature is on the Under Side.¶
Rayleigh, L. (1916). On Convection Currents in a Horizontal Layer of Fluid, when the Higher Temperature is on the Under Side. Philosophical Magazine, 32(192), 529-546.
Cited by¶
2 citations across 2 artifacts.
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Primes¶
- Convection
- The theoretical foundation is anchored in the
This sourceTheoretical foundation of convective instability; introduces the Rayleigh number Ra = gβΔT·d³/(νκ) as the dimensionless ratio of buoyancy driving to viscous–thermal damping and derives the critical Rayleigh number for the onset of cellular convection by linear stability analysis. NOTE: Rayleigh's own free–free result was Ra_c = 27π⁴/4 ≈ 657.5; the widely quoted Ra_c ≈ 1708 for rigid boundaries was first obtained by Jeffreys (1926), so attributing 1708 to Rayleigh (1916) is a factual error.
- The theoretical foundation is anchored in the
- Instability
- and theoretically analyzed by Rayleigh in 1916
This sourceRayleigh number, critical instability, buoyancy-diffusion balance, theoretical prediction.
- and theoretically analyzed by Rayleigh in 1916
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