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An experimental study of transient free-convection heat transfer with mercury in a vertical rectangular channel

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Abstract

An experimental study is presented of the transient and steady-state natural convection heat transfer in mercury following a step change in uniform heat flux of the vertical rectangular channel wall. The fluid was initially stagnant and at a uniform temperature. Temperature distributions were measured during the transient and at steady-state conditions. Heat transfer characteristics of the system were determined from these measurements.

Zusammenfassung

Diese experimentelle Arbeit behandelt den stationären und nichtstationären Wärmeübergang an Quecksilber bei freier Konvektion nach sprunghafter Änderung der Wärmestromdichte an der senkrechten Wand eines rechteckigen Kanals. Die Flüssigkeit war anfangs in Ruhe und auf einheitlicher Temperatur. Aus den gemessenen Temperaturverteilungen wurde der zeitliche Verlauf des Wärmeübergangs ermittelt.

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Abbreviations

g :

acceleration due to gravity

G r :

Grashof number,gβΔTL 32

k :

thermal conductivity

L :

test section height

Nu :

Nusselt number,hL/k

Ra :

modified Rayleigh number,gβqL 4/k2

Ra :

Rayleigh number,gβΔTL 3/να

Pr :

Prandtl number,μc p/k

q w :

wall heat flux

t :

time

T :

temperature

T :

ambient temperature

W :

test section width

x :

dimensionless distance,X/L

X :

dimensional distance measure from channel entrance

y :

dimensionless distance,Y/W

Y :

dimensional distance across the channel

β :

coefficient of thermal expansion

ΔT :

temperature difference,T−T

ν :

kinematic viscosity

c:

refers to the cold wall

f:

properties evaluated at average fluid temperature

H:

refers to the hot wall

L:

based on lengthL

W:

based on widthW

References

  1. Ostroumov, G. A.: Unsteady Thermal Convection About a Horizontal Cylinder. Zh. Tekhn. Fiz. 26 (1956) pp. 2720/2730.

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  2. Lillie, A. F.: Free Concevtion of a Sodium-Potassium Eutectic in an Enclosed Space Between Two Vertical Plates with Uniform Heat Flux. NAA-SR-12004, Atomic International, 1966.

  3. Landis, F., andH. Yanowitz: Transient Natural Convection in a Narrow Vertical Cell. Proceedings of the Third International Heat Transfer Conference, A.I.Ch.E., New York, Volume 2 (1966) pp. 139/151.

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  4. Heinisch, R. P., R. M. Singer andR. Viskanta: Experimental Study of Steady and Transient Natural-Convection Heat Transfer of Mercury. Wärme und Stoffübertragung 1 1968 pp. 231/245.

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  5. Fedynskiy, O. S.: Effect of Thermophysical Properties of Heat Transfer Agents on Heat Transmission in Conditions of Natural Convection. Heat Transfer and Thermodynamic Modeling, Moscow (1959) pp. 138/158.

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Work performed under the auspices of the U.S. Atomic Energy Commission.

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Heinisch, R.P., Viskanta, R. & Singer, R.M. An experimental study of transient free-convection heat transfer with mercury in a vertical rectangular channel. Wärme- und Stoffübertragung 3, 127–130 (1970). https://doi.org/10.1007/BF01006685

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  • DOI: https://doi.org/10.1007/BF01006685

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