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atw - International Journal for Nuclear Power | 06.2021

Ever since its first issue in 1956, the atw – International Journal for Nuclear Power has been a publisher of specialist articles, background reports, interviews and news about developments and trends from all important sectors of nuclear energy, nuclear technology and the energy industry. Internationally current and competent, the professional journal atw is a valuable source of information. www.nucmag.com

Ever since its first issue in 1956, the atw – International Journal for Nuclear Power has been a publisher of specialist articles, background reports, interviews and news about developments and trends from all important sectors of nuclear energy, nuclear technology and the energy industry. Internationally current and competent, the professional journal atw is a valuable source of information.

www.nucmag.com

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<strong>atw</strong> Vol. 66 (2021) | Issue 6 ı November<br />

Experimental Study of Convective<br />

Heat Transfer Through Fuel Pins of a<br />

<strong>Nuclear</strong> <strong>Power</strong> Plant<br />

Atif Mehmood, Ajmal Shah, Mazhar Iqbal, Ali Riaz, Muhammad Ahsan Kaleem and Abdul Quddus<br />

Cylindrical heat sources are used to model the fuel pins in the reactor core of a nuclear power plant and also in the<br />

spent fuel storage. This research was aimed at studying convection through slender cylinders arranged in a square<br />

array, placed inside a ventilated enclosure. Four cylindrical heat sources were manufactured, each having L/D ratio of<br />

6.1. These heat sources were placed inside an enclosure which had one inlet and three outlets. At first, optimum<br />

configuration of outlets <strong>for</strong> heat transfer was found by keeping the inlet speed of air and heat flux constant. This<br />

optimum outlet configuration was then used to study the effect of changing heat flux on heat transfer. Speed of air was<br />

kept constant at 0.7 m/s throughout this study. The heat flux was changed, ranging from 79.83 W/m 2 to 513.59 W/m 2<br />

and Rayleigh number changed accordingly from 2.093x10 9 to 8.575x10 9 . It was observed that by increasing Rayleigh<br />

number, Nusselt number decreased along with the heat transfer.<br />

1 Introduction<br />

Convective heat transfer is one of the<br />

important areas of research in heat<br />

transfer. Efficient heat transfer from<br />

heat sources has been an important<br />

topic of research over the past few<br />

years. Cylindrical heat sources are<br />

widely used in many industries<br />

such as building, solar and nuclear<br />

industry. In nuclear industry, fuel pins<br />

inside reactor core and spent fuel<br />

storage can be modeled as cylindrical<br />

heat sources with convective fluid<br />

flowing around them. Due to such<br />

vast applications and importance,<br />

researchers around the world have<br />

studied heat transfer through cylindrical<br />

heat sources both experimentally<br />

and computationally to solve issues<br />

related to temperature control.<br />

There are many configurations<br />

in which convective heat transfer<br />

through cylindrical heat sources can<br />

be studied. The medium through<br />

which the heat is transferred, could be<br />

finite or infinite, the heat sources<br />

could be single or multiple, and could<br />

be ranged in a horizontal, vertical or<br />

inclined orientation, the convective<br />

fluid could be air, water or any other<br />

suitable fluid, the type of convection<br />

could be free, <strong>for</strong>ced or mixed convection<br />

and the enclosure could be<br />

ventilated or non-ventilated. All these<br />

different types of configurations<br />

have been studied previously. Popiel<br />

[1] reviewed heat transfer through<br />

slender cylinders in which he used the<br />

data put <strong>for</strong>th by Cebeci [2] and<br />

differentiated between heat transfer<br />

through thick and slender cylinders.<br />

This is important since thick cylinders<br />

can be approximated as flat plates and<br />

thin cylinders cannot. Griffiths and<br />

Davis [3] studied convection in 1922,<br />

where they studied vertical cylinders<br />

in isothermal condition. They did<br />

experiments on various cylinders,<br />

keeping their diameters constant and<br />

varying the length of the cylinders<br />

and determined the average Nusselt<br />

numbers. Later on, Morgan [4] used<br />

that data to find two correlations,<br />

which are valid over their respective<br />

ranges of dimensionless number. Fujii<br />

et al. [5] did experiments on isothermal<br />

vertical cylinders, using three<br />

different fluids i.e. water (Pr = 5),<br />

mobiltherm oil (Pr = 100) and spindle<br />

oil (Pr = 100). Separate correlations<br />

were then developed <strong>for</strong> the local<br />

Nusselt numbers <strong>for</strong> each of the fluids<br />

used. Jarral and Campo [6] carried<br />

out an experimental study, using<br />

isoflux boundary condition and determined<br />

local Nusselt numbers in terms<br />

of Rayleigh number <strong>for</strong> air. They did<br />

their experimentation using cylinders<br />

with three different slenderness<br />

ratios. Ali Riaz et al. [7] per<strong>for</strong>med<br />

experiments on vertical cylinders and<br />

horizontal cylinders to find the heat<br />

transfer coefficients. The Nusselt<br />

number was observed to decrease<br />

from the bottom of the cylinder,<br />

towards the top, up to a certain point<br />

after which it started to increase. The<br />

reason behind this is that thermal<br />

boundary layer thickness increases<br />

from bottom to top of the cylinder. In<br />

the horizontal configuration, however,<br />

the local Nusselt number was<br />

least at the outlet and maximum at the<br />

inlet. Arshad et al. [8] per<strong>for</strong>med<br />

experiments with natural convection<br />

at high Rayleigh numbers using nine<br />

cylinders in a 3x3 array placed<br />

vertically and enclosed inside an<br />

enclosure. It was observed that<br />

surface temperatures increased up to<br />

a specific point and then decreased,<br />

this is attributed to mixing, which<br />

results in increase in heat transfer.<br />

K. Hata et al. [9] studied heat transfer<br />

through natural convection in laminar<br />

region, using vertical rods placed in a<br />

7x7 array placed in liquid sodium.<br />

The effect of pitch-to-diameter (P/D)<br />

ratio, array size, bundle geometry and<br />

Rayleigh number on heat transfer,<br />

was observed by calculating Nusselt<br />

number under different conditions.<br />

Yuji Isahai and Naozo Hattori [10]<br />

worked on a numerical study of heat<br />

transfer through natural convection in<br />

a heated rod bundle, that was placed<br />

vertically in an equilateral triangle<br />

configuration inside an enclosure.<br />

They used a total of 19 cylinders in<br />

their study in a hexagonal <strong>for</strong>mation,<br />

with the center cylinder dedicated <strong>for</strong><br />

instrumentation. Five different P/D<br />

ratios were studied which varied<br />

between minimum of 1.1 to maximum<br />

of 7.0. Abdul Jabbar Khalifa and Zaid<br />

Ali [11] studied heat transfer through<br />

natural convection in single and<br />

in multiple cylinders. For multiple<br />

cylinder configuration, they used nine<br />

cylinders in a 3 x 3 array, out of which<br />

only three cylinders were heated. A<br />

square array configuration was used<br />

<strong>for</strong> cylinders having a P/D ratio of 2.<br />

The fluid used <strong>for</strong> heat transfer was<br />

water. Heat flux was varied and its<br />

effect was studied. K. Tehseen et al.<br />

[12] per<strong>for</strong>med a numerical study,<br />

using ANSYS, to find the effects of<br />

different orientations of core on heat<br />

transfer along bare circular tubes and<br />

tube bundles. They found that the<br />

heat transfer was directly proportional<br />

to the heated length and<br />

inversely proportional to the inside<br />

diameter of the tube.<br />

37<br />

RESEARCH AND INNOVATION<br />

Research and Innovation<br />

Experimental Study of Convective Heat Transfer Through Fuel Pins of a <strong>Nuclear</strong> <strong>Power</strong> Plant ı Atif Mehmood, Ajmal Shah, Mazhar Iqbal, Ali Riaz, Muhammad Ahsan Kaleem and Abdul Quddus

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