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<title>Memorandum from R. L. Murray and A. C. Menius, Jr. to C. K. Beck</title>
<title>[a machine-readable transcription]</title>
<author>Murray, Raymond L.</author>
<author>Menius, A. C., Jr.</author>
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<p>Nuclear Reactor Digitization Project</p>
<p>Raymond L. Murray Reactor Project Notebook</p>
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<title>Memorandum from R. L. Murray and A. C. Menius, Jr. to C. K. Beck</title>
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<author>Raymond L. Murray</author>
<author>A. C. Menius, Jr.</author>
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<text id="MurNBrate041851T">

<front><div1 type="summary" n="1">
<head><hi rend="bold"><hi rend="center">Memorandum from R. L. Murray and A. C. Menius, Jr. to C. K. Beck</hi><lb/>
<bibl><abbr>Typescript</abbr><lb/> <extent>1 p.</extent> <lb/><date value="1951-04-18">April 18, 1951</date><lb/> <idno rend="suppress">MurNBrate041851</idno></bibl></hi></head>
<p>

</p>
</div1>
</front>

<body>
<pb n=""/>

<p><seg><xref id="reactorlg/MurNBrate041851a.jpg" rend="new">
<figure entity="MurNBrate041851a"></figure></xref></seg></p>
<div1 type="memorandum" n="1">
<opener>
<dateline><date value="1951-04-18">April 18, 1951</date></dateline>

TO:     <name type="person"><abbr expan="Clifford">C.</abbr> K. Beck</name><lb/>

FROM:     <name type="person"><abbr expan="Raymond">R.</abbr> L. Murray</name> and <name type="person">A. C. Menius, Jr.</name><lb/>

SUBJECT: Rate of Power Rise with Control Rod Removal
</opener>

<p>1. Removal of the control rod in 10 minutes is estimated to be a safe rate.
</p>
<p>2. The rate at which the reactor power P increases with rod removal speed v<hi rend="sub">r</hi><lb/>
is found to be <hi rend="underline">always smaller</hi> than that predicted from the steady-state<lb/>
power-rod position curve, ie<lb/>
<table>
<row>
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</formula></hi></p>
<p>After a time delay characterized by a time <seg rend='left'><figure entity="MurNBrate041851form2"></figure></seg>

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</formula></hi>(of the order of 10<lb/>
seconds at the middle of the range) where 1<hi rend="sub">e</hi> is<lb/> 
the average neutron lifetime, &#x03B1; is the temperature coefficient of reactivity,<lb/>
and T<hi rend="sub">o</hi> is the initial difference in temperature of solution and coolant,<lb/>
the power rise rate approaches the predicted rate, <seg rend='left'><figure entity="MurNBrate041851form3"></figure></seg>.

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<p>Thus a test is provided for any pre-assigned rod speed. The maximum slope o<lb/>
the curve above is<lb/>
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<p>Thus at a speed such that the rod is removed in 10 min (600 sec), then<lb/>
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<lb/>at other points on the curve dP/dx is smaller, of course, and thus dP/dt<lb/>
is smaller.
</p>
<p>The analysis loading to those conclusions is given in the Appendix.
</p>
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