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Numerical investigation on thermophoretic deposition of particles in turbulent duct flow with conjugate heat transfer: Analysis of influencing factors

  • Research Article
  • Indoor/Outdoor Airflow and Air Quality
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Abstract

Thermophoretic deposition of particles in turbulent duct flow is of significant relevance in energy and thermal engineering applications. However, conjugate heat transfer (CHT) was commonly not considered in the previous studies, but may have crucial influences on particle deposition behaviors. Therefore, thermophoretic particle deposition in turbulent duct flow with and without CHT was numerically investigated by using \(\overline {v{\prime ^{_2}}} - f\) turbulence model and discrete particle model (DPM) with a modified discrete random walk method. After grid independence study and numerical verification, several important influencing factors on particle deposition velocity were studied, such as flow Reynolds number, temperature difference between inlet hot air and cool wall, thermal conductivity ratio and width ratio of solid and fluid domain. The thermophoresis greatly increases deposition velocity of small particles but has no influence on large particles. The critical particle relaxation time \(\tau _{\rm{p}}^ + \) for thermophoresis effect is 20, which is the same for all the cases in this study. The corresponding particle diameter is 28 µm. The thermophoretic deposition is enhanced when the flow Reynolds number and temperature difference between air and wall increase. This is because the wall-normal temperature variety is higher for large Reynolds number and temperature difference, which can enhance thermophoretic deposition. However, CHT reduces the thermophoretic deposition by decreasing temperature difference in fluid region. Besides, higher thermal conductivity ratio and width ratio of solid and fluid domain will decrease the thermophoretic deposition, as thermal conduction in solid domain becomes more intense.

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Abbreviations

A :

area of particle deposition

B :

thickness of solid wall

C c :

Cunningham correction factor

C 0 :

mean particle concentration

C D :

drag coefficient of particle

C ps :

specific pressure heat of solid wall

d p :

diameter of dust particle

f :

an elliptic equation for the relaxation function

f c :

fanning friction factor

g :

gravitational acceleration

H :

width of half duct

J :

particle deposition number

k :

turbulent kinetic energy

K c :

Saffman’s lift force coefficient

N d :

number of dust deposited on the walls

N 0 :

total particle number

Re :

Reynolds number

Re p :

particle Reynolds number

s ij :

deformation tensor

S :

ratio of particle-to-fluid density

S 0 :

spectral intensity of a Gaussian white noise random process

S E :

volumetric heat source in solid domain

t d :

time period of dust deposition

T s :

temperature of solid domain

T f :

ttemperature of fluid domain

U mean :

mean velocity of air

U free :

freestream velocity of air

u g :

velocity of fluid

u p :

velocity of particle

u* :

frictional velocity of air

v′:

wall-normal fluctuating velocity of air

\(\overline {v{\prime ^{_2}}}\) :

wall-normal stress of flow

V :

volume of duct flow

V d :

particle deposition velocity

\(V_{\rm{d}}^ + \) :

dimensionless particle deposition velocity

ρ g :

density of fluid

ρ p :

density of particle

ρ s :

density of solid wall

ζ :

normal distributed random number

ν :

kinetic viscosity of air

τ :

particle relaxation time

Δt :

time step

λ s :

thermal conductivity of solid domain

λ f :

thermal conductivity of fluid domain

\(\tau _{\rm{p}}^ + \) :

dimensionless particle relaxation time

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Acknowledgements

The authors appreciate the financial supports provided by the National Key Research and Development Program (No. 2017YFE0116100), the “Xinghua Scholar Talents Plan” of South China University of Technology (D6191420) and the Fundamental Research Funds for the Central Universities (D2191930). It is also supported by the National Science Fund for Distinguished Young Scholars (No. 51425601) and the Science and Technology Planning Project of Guangdong Province: Guangdong-Hong Kong Technology Cooperation Funding Scheme (TCFS), No. 2017B050506005.

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Authors and Affiliations

  1. Key Laboratory of Enhanced Heat Transfer and Energy Conservation of Education Ministry, School of Chemistry and Chemical Engineering, South China University of Technology, Guangzhou, 510640, China

    Hao Lu, Li-zhi Zhang & Rong-rong Cai

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  1. Hao Lu
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  2. Li-zhi Zhang
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  3. Rong-rong Cai
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Correspondence to Li-zhi Zhang.

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Lu, H., Zhang, Lz. & Cai, Rr. Numerical investigation on thermophoretic deposition of particles in turbulent duct flow with conjugate heat transfer: Analysis of influencing factors. Build. Simul. 13, 387–399 (2020). https://doi.org/10.1007/s12273-019-0582-9

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  • DOI: https://doi.org/10.1007/s12273-019-0582-9

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