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Modelling and Thermodynamic Analysis of a Hot-Cold Conversion Pipe Using R134a-DMF-He as the Working Pair

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Abstract

Based on the concept of a diffusion absorption system, a hot-cold conversion pipe utilizing 1,1,1,2-tetrafluoroethane (R134a)-dimethylformamide (DMF)-helium (He) as the working pair is presented with the aim of cooling output by recovering the low-grade waste heat. The model of the hot-cold conversion pipe is established, in which a heat pipe is used to transfer the waste heat as the heat input. The equations of the thermodynamic properties of the working pair are established by equation of state method (EOS). The model of the hot-cold conversion pipe is built based on the mass, species and energy balance equations of each component. The direct conversion of heat to cold is achieved by the desorption, absorption, condensation and diffusion evaporation processes of R134a. The hot-cold conversion pipe is cooled by natural convection, which can be enhanced by chimney effect. The thermodynamic analysis is carried out to analyze the effect of the boundary conditions, i.e. the heat source temperature, the refrigeration temperature, and the environmental temperature, on the system performance. This paper provides a theoretical basis for actual application of the hot-cold conversion pipe in waste heat recovery field.

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Abbreviations

A :

crossing area/m2

ARD:

absorption refrigeration device

a, a 1, a 2, b, b 1, b 2 :

parameters for Eq. (1)

B 1 C, C 0, C 1, l 12, l 2l, m 12, S, K :

constants

\(C_p^0\) :

specific heat at constant pressure/J·mol−l·K−1

CH3OH:

methanol

COP:

coefficient of performance

CFCs:

chlorofluorocarbon refrigerants

DAR:

diffusion absorption refrigerating cycle

DMF:

dimethylformamide

DMP:

1,3-dimethylimidazolylium dimethyl phosphate

E :

molar concentration of refrigerant/mol·mol−1

EOS:

equation of state method

ex :

thermal exergy

f :

circulation ratio/mol·mol−1

g :

molar flowrate of gas/mol·s−1

H2 :

hydrogen

H2O:

water

H :

enthalpy/J·mol−1

h :

enthalpy/J·mol−1

J :

liquid level/m

L :

lift height/m

m :

molar flowrate of refrigerant/mol·s−1

NaSCN:

sodium thiocyanate

NH3 :

ammonia

P :

pressure/kPa

ΔP :

driving pressure/kPa

Q :

heat load/W

q :

specific heat load/W·mol−1

R :

gas constant

RK:

Redlich-Kwong function

R134a:

1,1,1,2-tetrafluoroethane

R22:

chlorodifuoromethane

T :

temperature/K

ΔT :

temperature difference/K

TEGDME:

tetra ethylene glycol dimethyl ether

TFE:

2,2,2-trifluoroethanol

u :

rectifier coefficient/mol·mol−1

V :

specific volume/m3·mol−1

VCRs:

vapor compression refrigeration system

XD :

concentration at the outlet of rectifier

x :

concentration of liquid mixture/mol·mol−1

y :

concentration of vapor mixture/mol·mol−1

β :

volume flow rate/m3·s−1

η :

exergy efficiency

θ :

thermal exergy conversion ratio

ϕ :

fugacity/kPa

A1:

inlet of absorber

A2:

outlet of absorber

a:

absorber

c:

condenser

cr:

critical

e:

evaporator

g:

generation

he:

helium

hp:

heat pipe

hs:

heat source

i :

component

in:

input

l:

liquid

mix:

mixture

out:

output

pre:

preheater

r:

rectifier

re:

refrigeration

sat:

saturation

subi:

sub-cooler between evaporator and condenser

sub2:

Sub-cooler between evaporator and absorber

v:

vapor

0:

environmental

1,2,3…:

represent state points

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under contract No. 51706133 and Sponsored by Shanghai Rising-Star Program under contract No. 17QB1404800.

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Correspondence to Shuai Du.

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Li, H., Lin, P., Du, S. et al. Modelling and Thermodynamic Analysis of a Hot-Cold Conversion Pipe Using R134a-DMF-He as the Working Pair. J. Therm. Sci. 30, 64–75 (2021). https://doi.org/10.1007/s11630-020-1243-0

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  • DOI: https://doi.org/10.1007/s11630-020-1243-0

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