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Vapour bubbles are formed in the nucleate boiling regime at a frequency of $10$ bubbles per second per nucleation site. There are $100$ nucleation sites per $m^{2}$ of heating area. The latent heat of vapourization and the density of vapour under the operating condition are $1000 \:kJ/kg$ and $1\:kg/m^{3}$ respectively. The diameter of each bubbles is $10^{-3}\:m$. Assume that the entire heat supplied is used for vapour generation. The heat flux (in Watt per $m^{2}$ of heating area) is _______________ (rounded off to third decimal place).
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