Recent content by mudweez0009

  1. mudweez0009

    Tank Mass Balance Calculation for Designing w/ Automatic Float Switch

    I'll be using a mass balance calc for a tank design at work. We are designing a tank that has an automatic float switch on it, attached to a valve which will start filling the tank when the water level drops below a certain point. This tank is intended to drain quickly (flow rate not known at...
  2. mudweez0009

    2nd Order, homogeneous Differential Equation

    Okay yes, I missed the constant. So if I put that in there, the first integral would become: f=e-η2+C ⇒dθ/dη = e-η2+C ⇒dθ = [e-η2+C]dη Integrate: ∫dθ =∫[e-η2+C]dη ⇒θ = ½*√π*erf(η)+η+C I think my answer would change to include an additional η, but does that error function even make sense? I...
  3. mudweez0009

    2nd Order, homogeneous Differential Equation

    Okay I think I made progress. (crossing fingers).. Using the substitution f=dθ/dη, that means df/dη=d2θ/dη2. Plugging these into the equation d2θ/dη2 + 2η(dθ/dη) = 0 yields: ⇒df/dη + 2ηf =0 ⇒df/dη = -2ηf ⇒(1/f)df = -2η(dη) Integrate both sides: ⇒∫(1/f)df = ∫-2η(dη) ⇒ln(f) = -η2 Take base 'e'...
  4. mudweez0009

    2nd Order, homogeneous Differential Equation

    I don't have an equation for dθ/dη. Are you referring to the equation I have for θ in terms of T ( θ=(T-T0)/(Ts-T0) )? Because I'm not sure how to differentiate that with respect to η to obtain the dθ/dη equation... I apologize for my very rusty differential equations abilities, and I...
  5. mudweez0009

    2nd Order, homogeneous Differential Equation

    Okay, so all I know about separable equations is that you have to get like terms on the same side of the equation. If I rearranged the original equation, it would give me: d2θ/dθ = -2η(d2η/dη) But I have no clue how to solve that.
  6. mudweez0009

    2nd Order, homogeneous Differential Equation

    Homework Statement Solve d2θ/dη2 + 2η(dθ/dη) = 0, to obtain θ as a function of η, where θ=(T-T0)/(Ts-T0) EDIT: I should add that this is a multi-part problem, and η is given as η=Cxtm. We had to use that to derive the equation in question above.. So I don't know if this is supposed to be...
  7. mudweez0009

    Transient heat conduction of a semi-infinite solid

    Sorry for the late reply, I was actually in the midst of studying for the PE Exam, which I took on Friday, so I didnt have time to get to this until now. I did however get through Parts1 through 4, and am fairly confident in my answer. I am stuck on solving Part 5, where you have to solve...
  8. mudweez0009

    Transient heat conduction of a semi-infinite solid

    Okay so I get that we need to get rid of the "x's" because the final equation we want in Part 3 does not have an x. However, it does have a "t". So I'm not sure I understand the reason why I would guess an "m" that would eliminate the "t". Is the initial approach I took correct? Do I need to...
  9. mudweez0009

    Transient heat conduction of a semi-infinite solid

    Homework Statement This is a problem regarding transient heat conduction in an undefined semi-infinite solid, initially at a temperature T0 whose surface temperature is suddenly raised to a new constant level at Ts. I also supplied the problem as an attachment for ease in explaining the...
  10. mudweez0009

    Safety Injection during Main Steam Line Break

    That is what I figured. Thanks for confirming!
  11. mudweez0009

    Safety Injection during Main Steam Line Break

    Also, do accumulators deliver boron when there is a loss of all power?
  12. mudweez0009

    Safety Injection during Main Steam Line Break

    So basically, for small break LOCA, loss of HPSI/charging is more severe because the RCS pressure doesn't drop enough to allow other remedial operations to initiate? What about my guesses of losing boron injection and RCP seal injection? It seems from your description that you only lose...
  13. mudweez0009

    Safety Injection during Main Steam Line Break

    That is very interesting Jim, and Fermi! I heard about the habitat it had formed, which generates pros and cons, but we won't get into those! I can't even imagine a 12 foot diameter pump. That would have been very impressive to see. Anyway, back to hammering you guys with questions...
  14. mudweez0009

    Cold shutdown that doesn't require coolant circulation?

    I see some mention about cooldown limits of the RCS, which brings up a question. I take it that when ALL power is lost (normal and Emerg.), the steam/turbine driven AFW pumps are used to deliver AFW to the S/G, and the RCS will be cooled in order to let borated water be injected from the...
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