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Flow resistance and heat transfer characteristics in micro-cylinders-group

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Abstract

De-ionized water flows through in-line and staggered arrays micro-cylinders-group plates with different distances among micro-cylinders, and the resistance characteristic and the Nusselt numbers of micro plates are experimentally obtained. The investigations show that the distances among cylinders (S values) have slight influence on flow resistance and the experimental Nusselt number and they are far less than predictions of classical correlations at extremely low Reynolds number due to the appearance of the sluggish regions in micro cylinders-group plate. With the increase of Reynolds number, the influence of the S values on flow resistance becomes more apparent and the flow resistance and the experimental Nusselt number of micro-cylinders-group rapidly increases due to the decrease of sluggish regions in the micro-cylinders-group plate and the weakness of the variation of the thermophysical properties with temperature and the endwall effects.

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Abbreviations

A :

Whole heat transfer area, m2

c :

Constant

C g :

Tip clearance, m

c p :

Specific heat, J kg−1 K−1

d :

Hydraulic diameter of cylinder, m

G :

Mass flux, kg s−1

h :

Convective heat transfer coefficient, W m−2 K−1

H :

Height of cylinder, m

I :

Electric current, A

K :

Thermal conductivity coefficient, W m−1 K−1

L :

Length of test section plate, m

m f :

Fin parameter

n :

Number of cylinders

Nu :

Nusselt number

P :

Heating power, W

ΔP :

Pressure drop between inlet and outlet of micro-cylinders group plate, Pa

Pr :

Prandtl number

q :

Heat flux, W m−2

Q :

Heat quantity, W

Re :

Reynolds number

S :

Distance among cylinders centre, m

S 1 :

Distance between bottom and upper layer of sidewall of test section, m

S 2 :

Distance between under layer and upper layer of sidewall of test section, m

S D :

Inclined distance of based plate, m

S L :

Longitudinal distance of cylinder, m

S T :

Transverse distance of cylinder, m

t :

Temperature of working fluid, °C

T :

Wall temperature, °C

T 1 :

Average temperature of upper layer of test section sidewall, °C

T 2 :

Average temperature of under layer of test section sidewall °C

u :

Flow velocity, m s−1

V :

Volume flow rate, m3 s−1

U :

Electric voltage, V

W :

Width of test section plate, m

μ :

Dynamic viscosity, kg m−1 s−1

ρ :

Density, kg m−3

η f :

Fin efficiency

f :

Fluid

i :

Inlet of test section

loss :

Heat loss

Max :

Maximum

o :

Outlet of test section

w :

Wall

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Acknowledgments

The authors acknowledge the financial support provided by the National Natural Science Foundation (Grant: 51176105), Shandong Province Young and Middle-Aged Scientists Awards Fund (Grant: Y2009CL017).

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Authors and Affiliations

  1. Energy Research Institute of Shandong Academy of Sciences, Jinan, 250014, China

    Zhigang Liu, Chengwu Zhang, Ning Guan & Guilin Jiang

  2. China University of Petroleum (East China), Tsingtao, 266555, China

    Zhaoliang Wang

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  1. Zhigang Liu
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Correspondence to Zhigang Liu.

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Liu, Z., Wang, Z., Zhang, C. et al. Flow resistance and heat transfer characteristics in micro-cylinders-group. Heat Mass Transfer 49, 733–744 (2013). https://doi.org/10.1007/s00231-013-1115-1

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