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Hydrodynamics and Reaction Performances of Multiphase Reactors for Marine Applications – A Review

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Veröffentlicht/Copyright: 5. Oktober 2018
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Abstract

Hydrodynamics and (catalytic & non-catalytic) reaction [high-pressure hydrodesulfurization; Fischer-Tropsch synthesis; CO2-monoethanolamine (MEA) absorption; simultaneous CO2 and H2S absorption in MEA; CO2 thermal desorption, enzymatic CO2 hydration] performances of trickle-bed and packed-bed column reactors subjected to static inclination, rolling (symmetrical/asymmetrical externally-generated reactor oscillations) and heaving motions were analyzed via detailed dynamic 3-D models which couple the macroscopic volume-averaged momentum, mass, energy and species balance equations in the liquid/gas phases with diffusion/chemical reaction inside the catalyst particles, enzyme washcoat or liquid film near the gas-liquid interface. Axial symmetry breakdown once the packed bed systems become inclined inflicts noticeable reductions of the reactor (or scrubber) performances. Only the performance of Fischer-Tropsch synthesis in the presence of water-gas shift reaction increases slightly with the increase of trickle-bed reactor inclination because of facile uptake of reactants in the key reactions from the gas phase while a fraction of valuable CO can be forwarded in water gas-shift reaction. For most of the reactions examined, the reactor performance is negatively impacted in asymmetric oscillating multiphase reactors with Fischer-Tropsch synthesis as an exception owing to the presence of water-gas shift reaction the performance of which is slightly improved. This performance deterioration/enhancement is maximal for the reactor moving between vertical and an inclined position when the time-dependent performance waves develop around the steady-state solution of the mid-inclination angle. The oscillatory reactor performance moves towards the steady-state solution of the vertical state when the asymmetry between the two inclined positions dwindles. Symmetric oscillating and heaving trickle-bed and packed-bed column reactors generate an oscillatory performance around the steady-state solution of vertical state which is affected by the amplitude and period of the angular and heaving motions of the vessel.

Notation

a

gas-liquid interfacial area, m2/m3

as

packed-bed surface area, m2/m3

c

specific heat capacity of κ-phase (κ=g,), J/kgK

Cj

concentration of species j, kmol/m3

dp

particle diameter, m

Dj

molecular diffusivity coefficient of species j, m2/s

Dj,peff

effective diffusivity of species j inside catalyst particle, m2/s

Dkj

Knudsen diffusion coefficient of species j, m2/s

Dg

liquid and gas dispersion coefficients, m2/s

fe

fraction of the external catalyst particle surface covered by liquid

fint,κ,z(r,θ)

interaction force exerted on κ-phase, N/m3

g

gravitational acceleration, m/s2

H

reactor height, m

Hjα

molar enthalpy of species j in α-phase, kJ/kmol

kg

gas-solid mass transfer coefficient, m/s

ka

volumetric liquid-side mass transfer coefficient, s−1

ks

liquid-solid mass transfer coefficient, m/s

kKH2

rate constant for the hydrogenation times the equilibrium constant for the hydrogen adsorption, s−1

KDBT

adsorption constant of DBT for hydrogenolysis, m3/kmol

KDBT

adsorption constant of DBT for hydrogenation, m3/kmol

KH2

adsorption constant of H2 for hydrogenolysis, m3/kmol

KH2S

adsorption constant of H2S for hydrogenolysis, m3/kmol

mj

distribution coefficient, m3/mg3

Mj

molecular mass, kg/kmol

Nj

interfacial molar flux of component j, kmol/m2s, Nj=DjCjx|x=0

P

reactor pressure, Pa

Pj

partial pressure of species j, Pa

r

reactor radial coordinate, radial position within catalyst, m

rhn

reaction rate of hydrogenation reaction, kmol/kgcats

rhs

reaction rate of hydrogenolysis reaction, kmol/kgcats

rp

radius of the catalyst particle, m

R

reactor radius, m

R

ideal-gas constant

Rj

reaction rate of the component j, kmol/m3s

RCO2c

enzymatic CO2 hydration reaction rate, kmol/mreactor3s

RCO2,fc

enzymatic CO2 hydration reaction rate in liquid film, kmol/m3s

RCO2,wc

enzymatic CO2 hydration reaction rate in washcoat, kmol/mw3s

RCO2uc

uncatalyzed CO2 hydration reaction rate, RCO2uc=RCO2uc|ε, kmol/mreactor3s

RCO2,fuc

uncatalyzed CO2 hydration reaction rate in liquid film, kmol/m3s

RCO2,wuc

uncatalyzed CO2 hydration reaction rate in washcoat, kmol/mw3s

t

time, s

T

temperature, K

Ta

period of angular motion

uκ

interstitial velocity of κ-fluid, m/s

z

axial coordinate, m

Greek Letters

α

angle of packed-bed column inclination with respect to the horizontal plane

αg

heat transfer coefficient at the gas-liquid interface, J/m2sK

αmax

amplitude of the angular motion

ε

packed bed porosity

εκ

κ-phase holdup

εb

porosity in the bulk region of the packed bed

εp

catalyst particle porosity

εw

washcoat porosity

δ

liquid film thickness, m

δw

washcoat thickness, m

ΔHr

reaction enthalpy, kJ/Kmol

ηi

effectiveness factor of reaction i

λr,θeff

radial (circumferential) effective thermal conductivity, J/msK

μκ

κ-phase dynamic viscosity, kg/ms

μκeff

κ-phase effective viscosity (combination of bulk and shear terms), kg/m s

νj

stoichiometric coefficient of species j

ρκ

κ-phase density, kg/m3

ρpb

packed bed density, kg/m3

τ

tortuosity

σ

surface tension, N/m

θ

circumferential coordinate, m

Subscripts/Superscripts

c

catalyzed

g

gas phase

hn

hydrogenation

hs

hydrogenolysis reaction

i

gas-liquid interface

in

reactor inlet

liquid phase

f

liquid film

p

catalyst particle

r

radial direction

s

solid phase, surface of catalyst particle

trans

transfer

z

axial direction

uc

uncatalyzed

w

washcoat

Abbreviations

BiPh

biphenil

CHB

cyclohexylbenzene

DBT

dibenzothiophene

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Received: 2018-07-12
Accepted: 2018-09-18
Published Online: 2018-10-05

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