Rayleigh's number
In fluid mechanics, the Rayleigh number (Ra, after Lord Rayleigh ) for a fluid is a dimensionless number associated with buoyancy-driven flow, also known as free (or natural) convection. It characterises the fluid's flow regime: a value in a certain lower range denotes laminar flow; a value in a higher range, turbulent … See more The Rayleigh number describes the behaviour of fluids (such as water or air) when the mass density of the fluid is non-uniform. The mass density differences are usually caused by temperature differences. … See more Solidifying alloys The Rayleigh number can also be used as a criterion to predict convectional instabilities, such as A-segregates, in the mushy zone of a solidifying alloy. The mushy zone Rayleigh number is defined as: See more For free convection near a vertical wall, the Rayleigh number is defined as: where: • x is the characteristic length • Rax is the Rayleigh number for … See more • Grashof number • Prandtl number • Reynolds number See more • Rayleigh number calculator See more WebThe critical Rayleigh number can be obtained analytically for a number of different boundary conditions by doing a perturbation analysis on the linearized equations in the stable state. The simplest case is that of two free boundaries, which Lord Rayleigh solved in 1916, obtaining Ra = 27 ⁄ 4 π 4 ≈ 657.51.
Rayleigh's number
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WebOct 16, 2002 · The left hand side of equation 8-12 is called the Rayleigh number: Eq 8-13: Lord Rayleigh showed through linear perturbation analysis (for a general discussion see , section 7.1.2 or the derivation in , section 6-18), that for thermal instabilities to grow in a fluid, the Rayleigh number would have to exceed a critical value (the f scale on the ... WebViscosity effects (Rayleigh number(?)) will prevent all convection in the former case won't they? There'd be no sucking... $\endgroup$ – Paul Uszak. Jun 16, 2024 at 13:06 …
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WebThe Rayleigh number (Ra) is defined regarding the liquid spacing (Δr) and the temperature difference between the interface and the inner wall as: (5)RaΔr=gβΔTΔr3vαThe liquid … WebThundersley The Chase. South Benfleet Kenneth Road. South Benfleet USP College. South Benfleet Warren Chase. South Benfleet Shipwrights Drive North. South Benfleet Cranbrook …
Web(1981) had been accepted for modern Rayleigh scatter-ing calculations in atmospheric applications. In brief, Young (1981) suggested that the value F(air) 5 (6 1 3r)/(6 2 7r) 5 …
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