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Meso-Scale Modeling: The EMMS Model for Gas-Solid Systems

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Abstract

This chapter introduces the EMMS model for gas-solid two-phase flow and the motive for this series of work. The EMMS model focuses on the meso-scale phenomenon of particle clustering, correlating it to the micro-scale of single particles and the macro-scale of the vessel operating conditions, material properties, and boundary conditions by analyzing the compromise between dominant mechanisms to define the meso-scale stability condition. The EMMS model can be solved for the eight parameters that describe the meso-scale structure and capture the so-called choking and drag-reduction phenomena in gas-solid fluidization systems, and further enables the intrinsic regime, operation diagram and overall fluid dynamics of systems to be determined. This chapter provides a solid basis to integrate the EMMS model with computational fluid dynamics (CFD) simulations and develop the EMMS paradigm.

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Abbreviations

a :

Acceleration, m/s2

C b :

Coefficient of added mass force, -

C D :

Drag coefficient for particles, -

C D0 :

Drag coefficient for a single particle, -

d :

Diameter, m

F :

Gas-solid interaction, N

f :

Volume fraction (of dense phase), -

F i (X) :

Conservation equation, -

g :

Gravity acceleration, m/s2

G s :

Solids flow rate, kg/(m2·s)

H :

Solids bed height, m

I :

Solids inventory, kg

K :

Proportional factor, -

K * :

Saturation carrying capacity, kg/(m2·s)

m :

Particle or cluster number in unit volume, m-3

N :

Rate of energy dissipation per unit mass of solids, m2/s3

P :

Pressure, kPa

Q :

Volume flow rate, m3/s

r :

Radial coordinate, m

R :

Radius, m

Re:

Reynolds number, -

t :

Time, s

U :

Superficial velocity, m/s

u :

Velocity, m/s

W :

Energy consumption with respect to unit volume, J/m3 s

z :

Axial coordinate, m

δ b :

Bubble holdup, -

ν :

Kinematic viscosity, m2/s

ρ :

Density, kg/m3

σ :

Variation of local solids concentration fluctuation, -

ε:

Voidage, -

μ:

Viscosity, Pa·s

*:

Top dilute region

a:

Bottom dense region

b:

Bubble

c:

Dense phase

cl:

Cluster

d:

Dissipation

e:

Emulsion

f:

Dilute phase, fluid

g:

Gas

i:

Interface

imp:

Imposed pressure

max:

Maximum

mb:

Minimum bubbling

mf:

Minimum fluidization

min:

Minimum

p:

Particle

pt:

Value for choking point

s:

Suspension, slip

T:

Total

t:

Transport, terminal

uni:

Uniform

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Authors and Affiliations

  1. Institute of Process Engineering, Chinese Academy of Sciences, Zhongguancun North Second Street 1, Beijing, 100190, People’s Republic of China

    Jinghai Li, Wei Ge, Wei Wang, Ning Yang, Xinhua Liu, Limin Wang, Xianfeng He, Xiaowei Wang, Junwu Wang & Mooson Kwauk

Authors
  1. Jinghai Li
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  2. Wei Ge
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  3. Wei Wang
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  4. Ning Yang
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  5. Xinhua Liu
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  6. Limin Wang
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  7. Xianfeng He
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  8. Xiaowei Wang
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  9. Junwu Wang
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  10. Mooson Kwauk
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Correspondence to Jinghai Li .

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Li, J. et al. (2013). Meso-Scale Modeling: The EMMS Model for Gas-Solid Systems. In: From Multiscale Modeling to Meso-Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35189-1_2

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  • DOI: https://doi.org/10.1007/978-3-642-35189-1_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35188-4

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