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McNaught, J M,
Macdonald equation, for fixed-bed pressure drop,
Mach number,
Macleod-Sugden method for surface tension
Macrolayer consumption model for critical heat flux in pool boiling,
Maddox, R N
Magnetic fields, effect on properties of rheologically complex materials,
Magnetic devices, for fouling mitigation,
Magnetohydrodynamcs, inaugmentation of heat transfer in microfluidic systems,
Margarine manufacture, crystallization of edible oils and fats in, scraped surface heat exchangers for,
Marlotherm, heat transfer media,
Martensitic stainless steels,
Martin, H
Martinelli and Boelter equations for combined free and forced convection,
Martinelli and Nelson correlations:
Mass absorption coefficient,
Mass extinction coefficient,
Mass fraction, in multicomponent mixtures,
Mass scattering coefficient,
Mass transfer:
Mass transfer coefficient:
Materials of construction, for heat exchangers,
Low temperature operation, ASME VIII code guidelines for,
Matovosian, Robert,
Matrix inversion techniques, in radiative heat transfer,
Maximum drag reduction
Maximum velocities (in shell-and-tube heat exchangers)
Maxwell model, for non-Newtonian fluid,
Maxwell-Stefan equations, for multicomponent diffusion,
Maxwell's equations, for electromagnetic radiation,
Mean beam length concept, in radiative heat transfer:
Mean phase content,
Mean temperature difference:
Measurement of fouling resistance,
Mechanical design of heat exchangers:
Mechanical draft cooling towers,
Mechanical loads, specifications in EN13445,
Mechanical vapour compression cycles in refrigeration,
Mediatherm, heat transfer medium,
Melo, L F,
Melting, thermal conduction in,
Melting point:
Mercury:
Merilo correlation, for critical heat flux in horizontal tubes,
Merkel's equation, in cooling tower design,
Mertz, R,
Metais and Eckert diagrams, for regimes of convection:
Metals:
Metallurgical industry, kilns and furnaces for,
Metastable equilibrium, of vapor and liquid,
Methane:
Methanol:
Methyl acetate:
Methylacetylene:
Methyl acrylate:
Methyl amine
n-Methylaniline:
Methyl benzoate:
2-Methyl-1,3-Butadiene (Isoprene):
2-Methylbutane (isopentane):
Methylbutanoate:
2-Methyl-2-butene:
Methylcyclohexane:
Methylcyclopentane:
Methylethylketone:
Methyl formate:
Metallurgical slag, use of submerged combustion in reprocessing of,
Methyl fluorate:
2-Methylhexane:
Methylisobutylketone:
Methylmercaptan:
1-Methylnaphthalene:
2-Methylnaphthalene:
2-Methylpentane:
3-Methylpentane:
2-Methylpropane (isobutane):
2-Methylpropene:
Methyl propionate:
Methylpropylether:
Methylpropyl ketone:
Methyl salicylate:
Methyl-t-butyl ether:
Microbubbles, for drag reduction,
Microchannels (see also microfluidics)
Micro-fin tubes:
Microfluidics, enhancement of heat transfer in,
Mie scattering, in pulverized coal combustion,
Miller, C J
Miller, E R
Mineral oils, as heat transfer media, physical properties of,
Mineral wool production, submerged combustion systems for,
Minimum fluidization velocity,
Minimum heat flux in pool boiling:
Minimum tubeside velocity, in shell-and-tube heat exchangers,
Minimum velocity for fluidization,
Minimum wetting rate, for binary mixtures,
Mirror-image concept, in radiative heat transfer,
Mirrors, spectral characteristics of reflectance from,
Mishkinis, D,
Mist flow:
Mitigation of fouling,
Mixed convection occurrence in horiozntal circular pipe, Metais and Eckert diagram for,
Mixing (shell-side), in twisted tube heat exchangers,
Mixing length, in turbulent flow,
Mixtures:
Modelling, of fouling:
Models, theory of,
Modulus of elasticity:
Moffat, R S M,
Molecular gas radiation properties,
Molecular weight:
Mollier chart, for humid air,
Momentum equation:
Monitoring, on line, of fouling,
Monochloroacetic acid:
Monte Carlo methods, in radiative heat transfer,
Moody chart:
Morris, M
Mostinski correlations:
Moving bed, heat transfer to,
Muchowski, E,
Mueller, A C
Muller-Steinhagen, H
Multicomponent mixtures:
Multidimensional systems, heat conduction in,
Multiflux methods, for radiative heat transfer in nonisothermal gases,
Multipass shell-and-tube heat exchangers,
Multiphase fluid flow and pressure drop:
Multiple duties, in plate heat exchangers,
Multiple effect evaporation,
Multiple hairpin heat exchanger,
Multistage flash evaporation (MSF)
Multizone model, for furnaces,
Index
HEDH
A
B
C
D
E
F
G
H
I
J
K
L
M
McNaught, J M,
Macdonald equation, for fixed-bed pressure drop,
Mach number,
Macleod-Sugden method for surface tension
Macrolayer consumption model for critical heat flux in pool boiling,
Maddox, R N
Magnetic fields, effect on properties of rheologically complex materials,
Magnetic devices, for fouling mitigation,
Magnetohydrodynamcs, inaugmentation of heat transfer in microfluidic systems,
Margarine manufacture, crystallization of edible oils and fats in, scraped surface heat exchangers for,
Marlotherm, heat transfer media,
Martensitic stainless steels,
Martin, H
Martinelli and Boelter equations for combined free and forced convection,
Martinelli and Nelson correlations:
Mass absorption coefficient,
Mass extinction coefficient,
Mass fraction, in multicomponent mixtures,
Mass scattering coefficient,
Mass transfer:
Mass transfer coefficient:
Materials of construction, for heat exchangers,
Low temperature operation, ASME VIII code guidelines for,
Matovosian, Robert,
Matrix inversion techniques, in radiative heat transfer,
Maximum drag reduction
Maximum velocities (in shell-and-tube heat exchangers)
Maxwell model, for non-Newtonian fluid,
Maxwell-Stefan equations, for multicomponent diffusion,
Maxwell's equations, for electromagnetic radiation,
Mean beam length concept, in radiative heat transfer:
Mean phase content,
Mean temperature difference:
Measurement of fouling resistance,
Mechanical design of heat exchangers:
Mechanical draft cooling towers,
Mechanical loads, specifications in EN13445,
Mechanical vapour compression cycles in refrigeration,
Mediatherm, heat transfer medium,
Melo, L F,
Melting, thermal conduction in,
Melting point:
Mercury:
Merilo correlation, for critical heat flux in horizontal tubes,
Merkel's equation, in cooling tower design,
Mertz, R,
Metais and Eckert diagrams, for regimes of convection:
Metals:
Metallurgical industry, kilns and furnaces for,
Metastable equilibrium, of vapor and liquid,
Methane:
Methanol:
Methyl acetate:
Methylacetylene:
Methyl acrylate:
Methyl amine
n-Methylaniline:
Methyl benzoate:
2-Methyl-1,3-Butadiene (Isoprene):
2-Methylbutane (isopentane):
Methylbutanoate:
2-Methyl-2-butene:
Methylcyclohexane:
Methylcyclopentane:
Methylethylketone:
Methyl formate:
Metallurgical slag, use of submerged combustion in reprocessing of,
Methyl fluorate:
2-Methylhexane:
Methylisobutylketone:
Methylmercaptan:
1-Methylnaphthalene:
2-Methylnaphthalene:
2-Methylpentane:
3-Methylpentane:
2-Methylpropane (isobutane):
2-Methylpropene:
Methyl propionate:
Methylpropylether:
Methylpropyl ketone:
Methyl salicylate:
Methyl-t-butyl ether:
Microbubbles, for drag reduction,
Microchannels (see also microfluidics)
Micro-fin tubes:
Microfluidics, enhancement of heat transfer in,
Mie scattering, in pulverized coal combustion,
Miller, C J
Miller, E R
Mineral oils, as heat transfer media, physical properties of,
Mineral wool production, submerged combustion systems for,
Minimum fluidization velocity,
Minimum heat flux in pool boiling:
Minimum tubeside velocity, in shell-and-tube heat exchangers,
Minimum velocity for fluidization,
Minimum wetting rate, for binary mixtures,
Mirror-image concept, in radiative heat transfer,
Mirrors, spectral characteristics of reflectance from,
Mishkinis, D,
Mist flow:
Mitigation of fouling,
Mixed convection occurrence in horiozntal circular pipe, Metais and Eckert diagram for,
Mixing (shell-side), in twisted tube heat exchangers,
Mixing length, in turbulent flow,
Mixtures:
Modelling, of fouling:
Models, theory of,
Modulus of elasticity:
Moffat, R S M,
Molecular gas radiation properties,
Molecular weight:
Mollier chart, for humid air,
Momentum equation:
Monitoring, on line, of fouling,
Monochloroacetic acid:
Monte Carlo methods, in radiative heat transfer,
Moody chart:
Morris, M
Mostinski correlations:
Moving bed, heat transfer to,
Muchowski, E,
Mueller, A C
Muller-Steinhagen, H
Multicomponent mixtures:
Multidimensional systems, heat conduction in,
Multiflux methods, for radiative heat transfer in nonisothermal gases,
Multipass shell-and-tube heat exchangers,
Multiphase fluid flow and pressure drop:
Multiple duties, in plate heat exchangers,
Multiple effect evaporation,
Multiple hairpin heat exchanger,
Multistage flash evaporation (MSF)
Multizone model, for furnaces,
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
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Fluidized Beds
DOI 10.1615/hedhme.a.000148
2.2 SINGLE-PHASE FLUID FLOW
2.2.6 Fluidized beds
K. E. Wirth
A. Fluidization principle
(a) Types of fluidization
In a fluidized bed the solid particles are carried by an up-flowing fluid (gas or liquid). The weight of the particles is balanced by the force which is exerted by the fluid flow on the particles. The bed as a whole shows a liquid-like behavior.
At low flow rate the fluid percolates the voids of the solids bed without changing the bed structure. The void fraction of the bed ε, i.e. the bed porosity, does not depend on the fluid flow rate, and thus remains constant. This operating mode is called fixed bed (Figure 1a). The particles are resting on a plate which is only permeable to the gas. An increase in the flow rate, and thereby in the forces exerted by the fluid on the solid material, results in individual particles beginning to move within narrowly bounded regions, whereas the majority of the particles remain in permanent contact as a fixed bed. With a further increase in the throughput of fluid, a situation is reached where the particles are not in permanent contact with one another and are supported by the fluid. In this state, the fluid pressure drop measured between two horizontal reference planes is in equilibrium with the weight, per unit bed cross sectional area of the solid and fluid contained between these planes. The bed has now attained fluidization (see Figure 1b) and is characterized by the voidage εmf and the height hmf. The corresponding superficial gas velocity is called minimum fluidization velocity umf.
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