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A simplified model of the thermohydraulic behaviour of a linear collector network for the conversion of the solar energy

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Il Nuovo Cimento C

Summary

A model has been set up to describe the thermohydraulic behaviour of a solar power plant in a quasi-steady-state approach; the simplifying assumptions have been proved to be correct. The model has been solved to determine the optimum sizes of the thermal accumulator.

Riassunto

È stato messo a punto un modello quasi stazionario per la descrizione del comportamento termoidraulico di un impianto per la conversione dell'energia solare. È stata verificata la correttezza delle ipotesi semplificative. Il modello è stato integrato per determinare le dimensioni ottimali dell'accumulatore termico.

Резюме

Предлагается модель для описания термогидравлического поведения солнечной силовой установки в квазистационарном приближении. Проведена проверка упрощающих предположений, лежащих в основе модели. Решение этой модели позволяет определить оптимальные размеры термического аккумулятора.

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Abbreviations

a :

slope of the linearized loss functionP L(T W)

b :

intercept of the linearized loss function

C p :

specific heat of the oil

C p :

specific heat of the tube wall material

C pin :

specific heat of the oil at the inlet temperature of the accumulator

C pt :

specific heat of the oil at the average temperature in the accumulator

D i :

internal diameter of the outer tube of the collector

D o :

external diameter of the outer tube of the collector

d o :

external diameter of the inner tube of the collector

d i :

internal diameter of the connecting tubes

d o :

external diameter of the connecting tubes

G :

overall mass flow of the oil

h :

heat transfer coefficient between the oil and the connecting-tube wall

h′:

heat transfer coefficient between the connecting-tube wall and the surroundings

h e :

heat transfer coefficient between the oil and the collector wall

\(\dot m\) :

mass flow of the oil in the collector and in the connecting tubes

P :

density of the oil

P′:

density of the tube wall material

P L :

rate of thermal losses from the collector tube wall per unit length

P S :

rate of solar energy absorbed by the collector-tube wall per unit length

T 1,T 2 :

lower and upper limit of the temperature range allowed for the accumulator

T A :

temperature of the surroundings

T :

temperature of the oil inside the collector

T′:

temperature of the oil in the connecting tubes

T w :

collector-tube wall temperature

T w :

connecting-tube wall temperature

T t :

average temperature in the collector

T o :

temperature of the oil at the inlet of the collectors

T o :

temperature of the oil at the inlet of the connecting tubes

V :

velocity of the oil in the connecting pipes

V c :

velocity of the oil in the collectors

W t :

water equivalent of the accumulator

z :

axial co-ordinate in the collector

z′:

axial co-ordinate in the connecting tubes

References

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Work performed in the framework of activities of P.F.E.-CNR.

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Bellecci, C., Camarca, M., Conti, M. et al. A simplified model of the thermohydraulic behaviour of a linear collector network for the conversion of the solar energy. Il Nuovo Cimento C 4, 385–396 (1981). https://doi.org/10.1007/BF02558292

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  • DOI: https://doi.org/10.1007/BF02558292

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