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Numerical and experimental investigation on heat transfer characteristics of nanofluids in a circular tube with CDTE

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Abstract

This paper reported numerical simulation investigations on heat transfer performance of ZrO2-water and Cu-water nanofluids in the tube with concentric double twisted element(CDTE)(Re = 6000-12000). Furthermore, experiments verified that the two-phase flow model method was more suitable for the numerical simulation of nanofluids in the tube with CDTE. The Nusselt numbers with CDTE and nanofluids obviously increased and also showed a positive correlation with the nanofluid concentration. The Nusselt numbers of Cu-water nanofluid were better than ZrO2-water nanofluid. While the friction factor(f ) of CDTE tube between the nanofluids increased little, the maximum difference was only 3.23%. The heat transfer performance was evaluated by performance evaluation criteria (PEC), cross-section entransy efficiency(ψc) and radial-flow(RF) number. The heat transfer performance of Cu-water nanofluids was all superior to ZrO2-water nanofluids. The PEC values in nanofluids increased with increasing concentration. The maximum PEC value was 1.96 in 1% Cu-water nanofluid. Subsequently, the ψc of CDTE tube increased with the increase of cross-section position and nanofluid concentration. The maximum ψc was 91.22% in 1% Cu-water nanofluid at Re= 6000. When an appropriate concentration of nanofluids was used and the nanofluid was passed through the CDTE, the RF numbers increased obviously. The maximum RF number was 0.1028 with 0.5% Cu-water nanofluid at Re= 6000.

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Abbreviations

A:

Surface area ,m2

C p :

Specific heat at constant pressure, J/kg⋅K

C v :

Specific heat at constant volume, J/kg⋅K

D:

Inner diameter of the tube, mm

d i :

Diameter of the inner twisted element, mm

d o :

Outer diameter of the outer twisted element, mm

E:

Entransy, J ⋅K

f :

Friction factor

h m :

Convection heat transfer coefficient, W/m2 ⋅K

L:

Length of the tube, mm

m:

Mass flow rate, kg/h

N u :

Nusselt number, h⋅D/λ

Pr:

Prandtl number, μ ⋅ Cp/λ

P:

Pressure of fluid, Pa

Q :

Constant volume heat capacity, W

q :

Heat flux, W/m2

R e :

Reynolds number, ρUD/μ

T:

Temperature of fluid, K

\(\overline u\) :

Average velocity of fluid, m/s

Z:

Cross-section position

ΔP:

Pressure drop

ΔT:

Convective heat transfer temperature difference

δ:

Thickness of twisted unit, mm

ψ :

Entransy efficiency

λ :

Thermal conductivity coefficient of fluid, W/m⋅K

ρ:

Density, kg/m3

μ:

Dynamic viscosity, kg/m⋅s

κ :

Volume fraction

0:

Plain tube

bf:

basefluid

c:

Cross-section

diss:

Dissipation

dr:

Drift velocity

e:

Element

g:

Grid

H:

High temperature

I:

Interlaced twisted element

in:

Inlet

L:

Low temperature

nf:

Nanofluid

out:

Outlet

w:

Wall

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Correspondence to Zongyong Wang.

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Zhang, A., Wang, Z., Ding, G. et al. Numerical and experimental investigation on heat transfer characteristics of nanofluids in a circular tube with CDTE. Heat Mass Transfer 57, 1329–1345 (2021). https://doi.org/10.1007/s00231-021-03026-9

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  • DOI: https://doi.org/10.1007/s00231-021-03026-9

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