I found the major error: The peak wavelength is in the infrared -- as it is with the sun -- and I intuitively thought that the fact that much of the surface was bright red thru yellow meant my picking dull red (700nm) was "conservative". This then fed via Wien's law proportionately into the fourth power of Stefan Boltzmann's law to produce the 2MW.
This arose because I simply neglected to go to the next page after page 2 -- where Figure 3 shows the temperature as 793C or 1066K. Recalculating from the substitution for Th: q=2.40137205*10^-9*pi*(Th^4-Tc^4) q=2.40137205*10^-9*pi*(1291304958736-Tc^4) ; subst(1066, Th) q=3084.152246988637*pi ; subst(289, Tc) q=9689W On Wed, May 22, 2013 at 6:58 PM, James Bowery <jabow...@gmail.com> wrote: > I can't resist: > > What power level is required to get that device to barely enter the > visible wavelengths (700nm), again, assuming no losses other than black > body? > > again using http://www.ajdesigner.com/phpwien/wien_equation_t.php at > 700nm: > > blackbody temperature (T) = 4139.6692857143 kelvin > > q=2.40137205*10^-9*pi*(Th^4-Tc^4) > q=2.40137205*10^-9*pi*(2.9367203218388994*10^14-Tc^4) ; > subst(4139.6692857143, Th) > q=705199.0585641474*pi > q=2.2154481E6W > > Yeah, Rossi had a really high frequency power supply pumping even 1/10th > of that into the E-Cat HT. > > > On Wed, May 22, 2013 at 6:40 PM, James Bowery <jabow...@gmail.com> wrote: > >> One final erratum (hopefully): In the November run when the device >> overheated to visible wavelengths, the input power was 1kW (p2), not 360W. >> Therefore: >> >> 360=2.40137205*10^-9*pi*(Th^4-6975757441) >> 1000=2.40137205*10^-9*pi*(Th^4-6975757441) ; subst(1000, 360) >> >> Th=(59549289748750/pi+997533314063)^(1/4)/143^(1/4) ; solve(Th) >> Th=611.17587 Kelvin >> Th=338.026 Celsius >> >> using: http://www.ajdesigner.com/phpwien/wien_equation.php >> >> peak emission wavelength (λmax) = 4.741300568689E-6 meter >> >> Still deep into the infrared. >> >> >> >> >> On Wed, May 22, 2013 at 5:59 PM, James Bowery <jabow...@gmail.com> wrote: >> >>> Erratum: I also left out the substitution step for room temperature: >>> >>> 360=2.40137205*10^-9*pi*(Th^4-6975757441) ; subst(289) >>> >>> >>> On Wed, May 22, 2013 at 5:53 PM, James Bowery <jabow...@gmail.com>wrote: >>> >>>> Erratum: Strike the "So, what..." >>>> >>>> >>>> On Wed, May 22, 2013 at 5:53 PM, James Bowery <jabow...@gmail.com>wrote: >>>> >>>>> q=eps*s*(Th^4-Tc^4)*A >>>>> q=eps*(2*pi*r^2+2*l*pi*r)*s*(Th^4-Tc^4) ; subst(2*pi*r^2+2*l*pi*r, A) >>>>> q=5.6703*10^-8*eps*(2*pi*r^2+2*l*pi*r)*(Th^4-Tc^4) ; subst(5.6703e-8, >>>>> s) >>>>> q=5.6703*10^-8*eps*(0.11*l*pi+0.00605*pi)*(Th^4-Tc^4) ; subst(.055, r) >>>>> q=2.40137205*10^-9*eps*pi*(Th^4-Tc^4) ; subst(.33, l) >>>>> q=2.40137205*10^-9*pi*(Th^4-Tc^4) ; subst(1, eps) >>>>> 360=2.40137205*10^-9*pi*(Th^4-Tc^4) ; subst(360, q) >>>>> Th=(21437744309550/pi+997533314063)^(1/4)/143^(1/4) ; solve(Th) >>>>> Th=483.6006 Kelvin >>>>> Th=210.451 Celsius >>>>> >>>>> using: http://www.ajdesigner.com/phpwien/wien_equation.php >>>>> >>>>> peak emission wavelength (λmax) = 5.9920696955297E-6 meter >>>>> >>>>> or 6 micrometers >>>>> >>>>> That is with no losses other than black body radiation (ie: no >>>>> convective losses). >>>>> >>>>> That is way into the infrared. The excursions into the visible >>>>> wavelength occurred with 360W. >>>>> >>>>> >>>>> >>>>> So, what >>>>> >>>>> >>>>> On Wed, May 22, 2013 at 4:19 PM, Jed Rothwell >>>>> <jedrothw...@gmail.com>wrote: >>>>> >>>>>> James Bowery <jabow...@gmail.com> wrote: >>>>>> >>>>>> >>>>>>> There is value in pursuing reductio ad absurda when they engage one >>>>>>> of the strongest arguments that the demonstration is valid: >>>>>>> >>>>>>> That the power input could not conceivably have produced the >>>>>>> radiation wavelengths observed. >>>>>>> >>>>>> >>>>>> You have mentioned that several times. Can you please post a more >>>>>> detailed discussion of that, with equations and examples? That would be >>>>>> helpful. Please post this in a new thread so I can find it easily. >>>>>> >>>>>> You might also address the fact that the first device melted. >>>>>> >>>>>> - Jed >>>>>> >>>>>> >>>>> >>>> >>> >> >
