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as basis for design of plate heat exchangers in cooling towers, in heat exchangers, in particle-to-fluid heat transfer in fluidized beds,
Fluid-to-Particle Heat Transfer in Fluidized Beds
Numerical methods: Nusselt: Nusselt-Graetz problem, in laminar heat transfer in ducts, Nusselt number:

Index

HEDH
A B C D E F G H I J K L M N
Nahme-Griffith number, Nakashima, CY Nanoparticles, for heat transfer augmentation, Naphthalene: Napthenes: National practice, in mechanical design, guide to, Natural convection: Natural draft cooling towers: Natural frequency of tube vibration in heat exchangers, Navier-Stokes equation, Neon: Neopentane: Net free area, in double-pipe heat exchangers, Netherlands, guide to national mechanical design practice, Networks, of heat exchangers, pinch analysis method for design of, Neumann boundary conditions, finite difference method, Nickel, thermal and mechanical properties Nickel alloys, Nickel steels, Niessen, R, Nitric oxide: Nitriles: Nitrobenzene: Nitro derivatives: Nitroethane: Nitrogen: Nitrogen dioxide: Nitrogen peroxide: Nitromethane: m-Nitrotoluene: Nitrous oxide Noise: Nonadecane: Nonadecene: Nonane: Nonene: Nonanol: Nonaqueous fluids, critical heat flux in, Non-circular microchannels: Noncondensables: Nondestructive testing, of heat exchangers Nongray media, interaction phenomena with, Nonmetallic materials: Non-Newtonian flow: Nonparticipating media, radiation interaction in, Nonuniform heat flux, critical heat flux with, Non-wetting surfaces, in condensation augmentation, North, C, No-tubes-in-window shells, calculation of heat transfer and pressure drop in, Nozzles: Nowell, D G, Nucleate boiling: Nuclear industry, fouling problems in, Nucleation: Nucleation sites: Nuclei, formation in supersaturated vapor, Number of transfer units (NTU):
as basis for design of plate heat exchangers in cooling towers, in heat exchangers, in particle-to-fluid heat transfer in fluidized beds,
Fluid-to-Particle Heat Transfer in Fluidized Beds
Numerical methods: Nusselt: Nusselt-Graetz problem, in laminar heat transfer in ducts, Nusselt number:
O P Q R S T U V W X Y Z
N Number of transfer units (NTU): in particle-to-fluid heat transfer in fluidized beds,
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Fluid-to-Particle Heat Transfer in Fluidized Beds

DOI 10.1615/hedhme.a.000172

2.5.5 Fluid-to-particle heat transfer in fluidized beds

S. S. Zabrodsky and H. Martin

A. Introduction, range of fluidization, bed expansion

Fluidization of solid particles by a streaming gas or liquid requires a fluid velocity u in the range

\[\label{eq1} u_{mf}\lt u \lt u_{t}\tag{1}\]

where umf is the so-called minimum fluidization velocity and ut is the terminal velocity. The minimum fluidization velocity umf can be found from a force balance equating the pressure drop of a fixed bed to the weight of the particle (— buoyancy force) per cross-sectional area. Using Ergun's equation (Ergun, 1952) for the pressure drop of the fixed bed, one obtains the Reynolds number Remf ≡ pf umf d /ηf as a function of Archimedes number Ar ≡ g d 3ρf (ρp – ρf) ηf2 and void fraction at minimum fluidization ψmf (see Section 148):

\[\label{eq2} \mbox{Re}_{mf}=42.9(1-\psi_{mf})\left[ \sqrt{1+\dfrac{\psi_{mf}^{3}}{(1-\psi_{mf})^{2}}\,\dfrac{\mbox{Ar}}{3,214}}-1\right] \tag{2}\]

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