(*^ ::[ Information = "This is a Mathematica Notebook file. It contains ASCII text, and can be transferred by email, ftp, or other text-file transfer utility. It should be read or edited using a copy of Mathematica or MathReader. If you received this as email, use your mail application or copy/paste to save everything from the line containing (*^ down to the line containing ^*) into a plain text file. On some systems you may have to give the file a name ending with ".ma" to allow Mathematica to recognize it as a Notebook. 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Emissivität der Außenscheibe (0.04), e2 ................................Emissivität der Innenscheibe (0.96), g................................... Gesamtenergiedurchlaßgrad (g = 0.64), kv ............................... Wärmedurchgangskoeffizient durch die Glasflächen (1.2 W/(m^2 K), tout ..............................Lufttemperatur außerhalb des Glashauses (-8 C), ts..................................Temperatur des Erdreichs unter dem Beton (5 C das ganze Jahr hindurch), wbodendown[tf, ts] .... Wärmestrom in den Boden (W/m^2), wglas[ti, tout] ........... Wärmestrom durch die Glasfläche (W/m^2) = qg + qst. wglas ist für das Design (Fußbodenfläche/Glasfläche) auf die Fußbodenfläche bezogen. qg ............................... Transmissionswärmeverlust durch die Glasfläche, qst .............................. Strahlungsverlust aus dem Glashaus. 19 .............................. ti (Lufttemperatur im Glashaus, C), 200 ............................ solare Einstrahlung (W/m^2, diffus + direkt, Mittelwert eines Sonnentags, 5 kWh/(m^2 d) = 200 W/m^2, 32 .............................. tf (Fußbodentemperatur, C) :[font = subtitle; inactive; Cclosed; preserveAspect; startGroup] Wärmestrom aus dem Glashaus heraus :[font = input; preserveAspect; startGroup] e1 = 0.04; e2 = 0.96; kv = 1.2; fb = 39.4; :[font = input; preserveAspect; startGroup] fb m^2 (wbodendown[32, 5] + wglas[19, -8] )W/m^2 :[font = output; output; inactive; preserveAspect; endGroup] 2646.480034933246*W ;[o] 2646.48 W :[font = input; preserveAspect; startGroup] fb m^2 (wbodendown[32, 5](* + wglas[19, -8]*) )W/m^2 :[font = output; output; inactive; preserveAspect; endGroup] 455.9142857142858*W ;[o] 455.914 W :[font = input; preserveAspect; startGroup] s[2] = 0.10; fb m^2 (wbodendown[32, 5](* + wglas[19, -8]*) )W/m^2 :[font = output; output; inactive; preserveAspect; endGroup] 366.2262295081967*W ;[o] 366.226 W :[font = input; preserveAspect] s[2] = 0.08;(*Datenrücksetzung*) :[font = input; preserveAspect; startGroup] fb m^2 ((*wbodendown[32, 5] + *)wglas[19, -8] )W/m^2 :[font = output; output; inactive; preserveAspect; endGroup] 2190.56574921896*W ;[o] 2190.57 W :[font = input; preserveAspect; startGroup] (*bei abgedeckten Scheiben, lambda = 0.035 W/(m K), s[2] = 0.1 m*) kv = lambda[2]/0.1; (*= 0.35 W/(m^2 K Wärmetransmission durch Rahmen RMG 2*) fb m^2 ((*wbodendown[32, 5] + *)wglas[19, -8] )W/m^2 :[font = output; output; inactive; preserveAspect; endGroup] 1598.606509829113*W ;[o] 1598.61 W :[font = input; preserveAspect; startGroup] kv :[font = output; output; inactive; preserveAspect; endGroup] 0.35 ;[o] 0.35 :[font = input; preserveAspect; startGroup] (*bei abgedeckten Scheiben, lambda = 0.035 W/(m K), s[2] = 0.1 m*) kv = lambda[2]/0.1; fb m^2 (wbodendown[32, 5] + wglas[19, -8] )W/m^2 :[font = output; output; 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.81746 .22133 L .85714 .20209 L .89683 .18284 L .93651 .16357 L .97619 .14429 L s P P P % End of Graphics MathPictureEnd :[font = output; output; inactive; preserveAspect; endGroup] Graphics["<<>>"] ;[o] -Graphics- :[font = input; preserveAspect; endGroup] :[font = subtitle; inactive; Cclosed; preserveAspect; startGroup] Wärmestrom durch Faltwand IS-US 2.4m x 4m :[font = input; preserveAspect] Clear[qFW]; qFW[{tin_, tout_}] := (tin - tout) fwand/(1/alphi + 1/kf[kv]); (*W*) :[font = input; preserveAspect] fwand = 2.4 4 (*m^2*); :[font = input; preserveAspect; startGroup] (*IS-4000*) kv = 1.1; qFW[{20, 0}] :[font = output; output; inactive; preserveAspect; endGroup] 275.1131221719457 ;[o] 275.113 :[font = input; preserveAspect; startGroup] (*US-2000) kv = 4; qFW[{20, 0}] :[font = output; output; inactive; preserveAspect; endGroup] 596.8476357267952 ;[o] 596.848 :[font = input; preserveAspect; endGroup] :[font = subtitle; inactive; preserveAspect; startGroup] Wärmeleistung des Glashauses an mittlerem Sonnentag: Kurven in {g, kv} mit konstanten wbil :[font = input; preserveAspect] tout=.; e1=.; e2=.; :[font = smalltext; inactive; preserveAspect; startGroup] Mit der Glastype N18 (identisch mit SN1.1) der Charakteristika Name beim Hersteller: Semco Plus SN 1.1, 4/15/4, argongefüllter Scheibenzwischenraum, Gesamtenergiedurchlaßgrad g = 0.64, Emissivität der bedampften Fläche epsilon1 = 0.04, Dicke des Scheibenzwischenraums = 15 mm, Wärmedurchlaßkoeffizient der Verbundglasscheibe kv = 1.1 W/(m2K)) Bei (*) solarer Einstrahlung Ih = 200 W/m^2 = 4.8 kWh/(m2 d), (*) Außen-, Fußboden- und Lufttemperaturen = -8 C, 32 C und 19 C bringt ein Quadratmeter Fußboden des Wintergartens über einen Tag (= 24 Stunden) gemittelt eine Heizleistung von 1.2 kWh/(m^2 d), also eine Leistung :[font = input; preserveAspect; startGroup] 1.2 kW h/(m^2 24 h) 39.4 m^2 (*39.4 m^ ist Glashausgrundfläche fb in neuem Design*) :[font = output; output; inactive; preserveAspect; endGroup; endGroup] 1.97*kW ;[o] 1.97 kW :[font = input; preserveAspect; startGroup] (*Datenrücksetzung*) e1 = .; e2 = .; kv = .; fb = 1/4 (9 20 - 6 7 - 1.7 7) (*m^2*)); (*Glashausfußbodenfläche*) :[font = input; preserveAspect; startGroup] (*angesetzter Sonnenenergieeintrag durch Scheiben*) 0.65 200 W/m^2 39.4 m^2 (*fb ist nach neuerem Design 39.4 statt 31.5 m^2*) :[font = output; output; inactive; preserveAspect; endGroup] 5122.000000000001*W ;[o] 5122. W :[font = input; Cclosed; preserveAspect; startGroup] 24/1000 (*h/d / (W/kW)* (g 200 - (wbodendown[32, ts] + wglas[19, tout])) :[font = output; output; inactive; preserveAspect; endGroup] (3*(-11.57142857142857 + 200*g - (1.166534496431403/(0.04 + (0.75 + 0.7*kv)^(-1)) + 1.775574940523394/(2.325714285714286 + (0.75 + 0.7*kv)^(-1)))* (19 - tout) - (6.614250594766059* (28398241/390625 - (273 + tout)^4/100000000))/ (-1 + e1^(-1) + e2^(-1))))/125 ;[o] 1.16653 1.77557 (3 (-11.5714 + 200 g - (-------------------- + -----------------------) 1 1 0.04 + ------------- 2.32571 + ------------- 0.75 + 0.7 kv 0.75 + 0.7 kv 4 28398241 (273 + tout) 6.61425 (-------- - -------------) 390625 100000000 (19 - tout) - ----------------------------------)) / 125 1 1 -1 + -- + -- e1 e2 :[font = input; preserveAspect] Clear[wbilf]; wbilf[g_, e1_, kv_] := (3*(-11.57142857142857 + 200*g - (1.166534496431403/(0.04 + (0.75 + 0.7*kv)^(-1)) + 1.775574940523394/(2.325714285714286 + (0.75 + 0.7*kv)^(-1)))* (19 - tout) - (6.614250594766059* (28398241/390625 - (273 + tout)^4/100000000))/ (-1 + e1^(-1) + e2^(-1))))/125 :[font = input; preserveAspect] Clear[cplot]; cplot[eps_] := ContourPlot[ wbilf[g, eps, kv], {g, 0.4, 0.71}, {kv, 1, 2.1}, Contours->{0.5, 0.7, 0.9, 1.1, 1.3, 1.5}]; :[font = input; preserveAspect; startGroup] tout = mtempko[[1]]; e2 = 0.96; wbilf[0.68, 0.04, 1.2] :[font = output; output; inactive; preserveAspect; endGroup] 1.318606793389441 ;[o] 1.31861 :[font = input; preserveAspect; startGroup] Show[cplot[0.04], kvofg[1,5]] :[font = postscript; PostScript; formatAsPostScript; output; inactive; noFill; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 282] %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% ContourGraphics /Courier findfont 10 scalefont setfont % Scaling calculations -1.22146 3.10174 -0.854895 0.874126 [ [(0.4)] .01923 0 0 2 Msboxa [(0.45)] .17432 0 0 2 Msboxa [(0.5)] .3294 0 0 2 Msboxa [(0.55)] .48449 0 0 2 Msboxa [(0.6)] .63958 0 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