RE: Question about neutron balance

From: Vasilis Vlachoudis (Vasilis.Vlachoudis@cern.ch)
Date: Sun Mar 04 2007 - 18:56:12 CET

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    Hi Alfred,

    The neutron balance according to your definition is related to B. Is the
    term that enters in the diffusion equation for a steady in time
    solution.
    The diffusion equation is described as:
    d(Flux(r))/dt = D*\Delta2(Flux(r)) + S(r) - \Sigma_abs*Flux(r)
    where S(r) term describing the sources and \Sigma_abs the absorption
    cross section:
    or with words the diffusion equation is (per unit volume):

    dFlux(r)/dt = -[outflow rate] + [production rate] - [absorption rate]

    and for a steady state solution

    [outflow rate] = [production rate] - [absorption rate] = neutron balance

    While the particle 8=neutron is scoring the neutron fluence. The datum
    most frequently used for describing neutron fields. The fluence defined
    as the number of particles that penetrate a sphere with a cross section
    of pi*r^2 = 1cm2 per unit of time and/or energy. Otherwise, the
    particles crossing a surface of 1cm2 that is ALWAYS perpendicular to the
    direction of the particle.

    Regards
    Vasilis

    -----Original Message-----
    From: owner-fluka-discuss@fisica.unimi.it
    [mailto:owner-fluka-discuss@fisica.unimi.it] On Behalf Of Tang, Alfred
    Sent: Friday, March 02, 2007 17:08
    To: fluka-discuss@fluka.org
    Subject: Question about neutron balance

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    Dear FLUKA experts,
    Suppose that A=3D(number of neutrons created)+(number of neutrons
    absorbed) and B=3D(number of neutrons created)-(number of neutrons
    absorbed). Is it true that neutron balance (particle number 222)
    neut-bala is related to A and neutron (particle number 8) is related to
    B?
    Regards,
    Alfred
    =20

    **********************************************
    Alfred Tang
    Department of Physics
    Kansas State University
    13 Cardwell Hall
    Manhattan, KS 66506

    (785) 532-1699

    http://www.phys.ksu.edu/personal/atang

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    <P><FONT SIZE=3D2 FACE=3D"Arial">Dear FLUKA experts,</FONT>

    <BR><FONT SIZE=3D2 FACE=3D"Arial">Suppose that A=3D(number of neutrons =
    created)+(number of neutrons absorbed) and B=3D(number of neutrons =
    created)-(number of neutrons absorbed).&nbsp; Is it true that neutron =
    balance (particle number 222) neut-bala is related to A and neutron =
    (particle number 8) is related to B?</FONT></P>

    <P><FONT SIZE=3D2 FACE=3D"Arial">Regards,</FONT>

    <BR><FONT SIZE=3D2 FACE=3D"Arial">Alfred</FONT>

    <BR><FONT SIZE=3D2 FACE=3D"Arial">&nbsp;</FONT>
    </P>

    <P><FONT SIZE=3D2 =
    FACE=3D"Arial">**********************************************</FONT>

    <BR><FONT SIZE=3D2 FACE=3D"Arial">Alfred Tang</FONT>

    <BR><FONT SIZE=3D2 FACE=3D"Arial">Department of Physics</FONT>

    <BR><FONT SIZE=3D2 FACE=3D"Arial">Kansas State University</FONT>

    <BR><FONT SIZE=3D2 FACE=3D"Arial">13 Cardwell Hall</FONT>

    <BR><FONT SIZE=3D2 FACE=3D"Arial">Manhattan, KS 66506</FONT>
    </P>

    <P><FONT SIZE=3D2 FACE=3D"Arial">(785) 532-1699</FONT>
    </P>

    <P><A HREF=3D"http://www.phys.ksu.edu/personal/atang"><U><FONT =
    COLOR=3D"#0000FF" SIZE=3D2 =
    FACE=3D"Arial">http://www.phys.ksu.edu/personal/atang></U></A>
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