Numerical Analysis of General Trends in Single-Phase Natural Circulation in a 2D-Annular Loop

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="895695.fig.008a" src="https://static.hindawi.com/articles/stni/volume-2008/895695/figures/895695.fig.008a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Time history; <svg height="10.9125" id="M85" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 78.525002 10.9125" width="78.525002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">R</tspan>
<tspan style="font-size: 12.50px; " x="8.3144951" y="0">a</tspan>
<tspan style="font-size: 12.50px; " x="17.329159" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="29.369547" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="35.621048" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="43.960548" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="50.212048" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="56.463547" y="0">0</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.8625" id="M86" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 50.612499 10.8625" width="50.612499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.8625)">
<g transform="translate(72,-63.31)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑅</tspan>
<tspan style="font-size: 12.50px; " x="12.715551" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="24.755939" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="31.007441" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="34.13319" y="0">4</tspan>
</text>
</g>
</g>
</svg>, and <svg height="11.1" id="M87" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 42.987499 11.1" width="42.987499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
<tspan style="font-size: 12.50px; " x="7.4267821" y="0">𝑟</tspan>
<tspan style="font-size: 12.50px; " x="15.991337" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="28.031727" y="0">5</tspan>
</text>
</g>
</g>
</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="895695.fig.008b" src="https://static.hindawi.com/articles/stni/volume-2008/895695/figures/895695.fig.008b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Enlargement of the time history; <svg height="11.1" id="M88" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 78.525002 11.1" width="78.525002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">R</tspan>
<tspan style="font-size: 12.50px; " x="8.3144951" y="0">a</tspan>
<tspan style="font-size: 12.50px; " x="17.329159" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="29.369547" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="35.621048" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="43.960548" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="50.212048" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="56.463547" y="0">0</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.9125" id="M89" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 50.612499 10.9125" width="50.612499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑅</tspan>
<tspan style="font-size: 12.50px; " x="12.715551" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="24.755939" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="31.007441" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="34.13319" y="0">0</tspan>
</text>
</g>
</g>
</svg>, and <svg height="11.1" id="M90" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 42.987499 11.1" width="42.987499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
<tspan style="font-size: 12.50px; " x="7.4267821" y="0">𝑟</tspan>
<tspan style="font-size: 12.50px; " x="15.991337" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="28.031727" y="0">5</tspan>
</text>
</g>
</g>
</svg></td></tr></table></td></tr></table>

<table>Chaotically reversing regime.</table>

Science and Technology of Nuclear Installations

fig8

Figure 8

Figure 8: Numerical Analysis of General Trends in Single-Phase Natural Circulation in a 2D-Annular Loop 