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[null,"Programm zur Einschätzung der Arbeitsweise eines Flammenfresser"]
[null,"Program for estimating the operation of a flame licker engine"]
[null,"Hinweise zur Nutzung - Note for use"]
[]
["1.","Es handelt sich um ein einfaches Modell für diesen Motor, das nur wesentliche Einflussgrößen in einfacher Weise berücksichtigt aber viele kleine Einflussgrößen nicht erfasst."]
[null,"It is a simple model for this engine, which considers only essential, influencing variables in a simple way, but does not cover many small influencing variables.."]
["2.","Das Programm eignet sich nicht  für die Auslegung eines Motors. Dazu sind  der Aufbau (Geometrie, Kinetik, Material) und das damit zusammenhängende  Zusammenspiel unterschiedlicher physikalischen Gesetzmäßigkeiten zu komplex. Es kann nur ein einschätzender Vergleich für unterschiedliche Bedingungen vorgenommen werden."]
[null,"The program is not suitable for the design of an einginge. For this purpose, the structure (geometry, kinetics, material) and the related interplay of different physical laws are too complex. Only one judgmental comparison can be made for different conditions."]
["3.","Die Berechnung funktioniert nur bei Eingabe sinnvollerer Eingabedaten, die eine Funktion des Motors auf Basis der für das Modell gemachten Annahmen zulassen. Manchmal ist das Fenster für die festzulegenden Parameter sehr klein, sodass eine Variation der Eingabewerte erforderlich ist. "]
[null,"The calculation works only when you enter more meaningful input data that allows a function of the engine based on the assumptions made for the model. Sometimes the window for the parameters to be set is very small, so that a variation of the input values is required."]
["4.","Wesentliche Eingabedaten sind die Drehzahl (Winkelgeschwindigkeit) n (w) und die Wärmeduchgangszahl k . Das Zusammenspiel (die richtige Wahl) dieser im Zusammenhang stehenden Größen ist entscheidend für die Berechnung und Ergebnis. Die Berechnung beinhaltet einen Algorythmus, der die Temperatur am Anfang eines Arbeitsspiels (j=0°) mit der Temperatur am Ende des Arbeitsspiels (j=360°) zur Übereinstimmung bringt, so dass ein zyklischer, geschlossener Temperaturverlauf entsteht. Wird keine Übereinstimmung dieser Temperaturen erreicht, so ist auch keine zyklische Arbeit des Motors vorhanden, weil die Eingabedaten nicht mit einander harmonieren. Die wesentlichen, zu ändernden Einflussgrößen sind n und k sowie die Starttemperatur für den Iterationsprozess. "]
[null,"Essential input data are the speed (angular speed) n (w) and the heat transfer coefficient k. The interplay (the right choice) of these related variables is crucial to the calculation. The calculation includes an algorithm that is designed to match the temperature at the beginning of a working cycle (j=0 °) with the temperature at the end of the working cycle (j=360 °) so that a cyclic temperature profile is created. If no match of these temperatures is reached, then there is no cyclic work of the engine, because the input data do not harmonize with each other. The main influencing variables to be changed are n and k as well as the starting temperature for the iteration process."]
["5.","Es ist dauf zu achten, dass das Ergebnis nicht zu einer negativen Arbeit / Leistung führt, obwohl ein zyklischer Temperaturverlauf ermittelt wurde. In diesem Fall ist die Öffnung für das Ansaugen und Herausdrücken der Luft zu klein (der Luftwiderstand zu groß), und die Öffnung muß vergrößert werden."]
["6.","It is important to ensure that the result does not lead to a negative work / performance, although a cyclical temperature profile was determined. In this case, the opening for sucking and pushing out the air is too small (the air resistance too large), and the opening must be increased."]
["7.","Die Theorie zum Programm ist zu finden unter -  The theory of the program can be found at                                                                                                                            https://www.jbladt.de/technik/heissluftmotoren-hot-air-engines/flammenfresser/     "]
[null," Autor kann  über diese Web-Site kontaktiert werden.    |   Author can be contacted via this web-site."]
[null,"https://www.jbladt.de/ "]
[]
[]
[]
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[]
[]
[]
[null,{"$f":"TODAY()","v":"2019-05-21"}]

{"sheet":"Input","index":1,"n_rows":81,"n_cols":11,"rows_kept":81,"cut":false,"hidden":false,"merged":[[0,6,1,6],[0,2,0,4]]}
[null,"Klaus-Jürgen Bladt,                                           18119 Rostock, Germany                              www.jbladt.de","Berechnung eines Flammenfresser-Motors Calculation of a flame licker engine (flame gulper)"]
[null," ",null,null,null,"B"]
[null,"Eingabe / Input",null,null,"Input ▼","Example"]
[null,"cylinder diameter / inside (piston diameter)","Di [mm]","D ",26,26]
[null,"cylinder diameter / outside (is not needed)","Da [mm]",null,28,28]
[null,"cylinder material",".-.","Ms [1], Alu [2], St [3]",1,1]
[null,"Valve bore diameter ","d [mm]","d/D >=15%",5,5]
[null,"Crank radius","r [mm]",null,14,14]
[null,"Rod length","l [mm]",null,54,54]
[null,"Dead room length"," x0 [mm]","0 < x0 < 0,4 r",1,1]
[null,"Number of steps for one iteration cycle 2p","n2p [-]","fix value: 2p   (integer =720)",720,720]
[null,"Closing angle of the Phase I (integer / ganzezahlig)","jI [ -°]","90° < jZ <= 180°",135,135]
[]
[null,"Speed                                      ►"," n [min-1]"," n ≥ 120",1000,800]
[null,"Environment pressure (extern)","patm [bar]",null,1.01325,1.01325]
[null,"Flame temperature","TF   [°C]",null,1200,1200]
[null,"Environment temperature (air / extern)","Tatm [°C]","Tatm = Text",20,20]
[null,"Cylinder temperature (air around the cylinder)","Tcyl [°C]","recommended: Tatm=Tcyl",20,20]
[]
[null,"Spezific heat capacity / p=const, T=20°C","cp [m²/s²/K]",null,1001,1001]
[null,"Spezific heat capacity / V=const","cv [m²/s²/K]",null,714,714]
[null,"spezific gas constant of air","RS [kg/s³/K]","Rs = cp - cv",287,287]
[null,"adiabatic coefficient","g  [-]","cp / cv",1.4,1.4]
[null,"Heat transfer coefficient        ","k [kg/s³/K]","recommended",20,20]
[null,"Heat transfer coefficient                      ►","k [kg/s³/K]",{"$f":"'k-trans'!E14","v":20.25600951890797},20,20]
[null,"Coefficient of heat transfer at the piston","u [-]","0 ≤ u ≤ 1,0",0,0]
[]
[null,"Start temperature  1. Iterationszyklus ","T0 =T0 [°C]",{"$f":"Val!D17","v":590},{"$f":"Val!D17","v":590},590]
[null,"Start temperature  1. Iterationszyklus   ►","T0 =T0 [°C]",{"$f":"Input!E28","v":590},600,600]
[]
[null,"Ergebnisse",null,null,"Results ▼","Results ▼"]
[null,"Start temperature  25.of iteration cycle","T0     [°C]","T0 ≈ T360",{"$f":"Res!K10-273","v":571.27384198778395},498.22149983444388]
[null,"Endtemperatur         3. Iterationszyklus","T02 [°C]","> Tatm",{"$f":"ROUND(#REF!,0)-273","v":{"$error":"#REF!"}},{"$error":"#REF!"}]
[]
[null,"Final temperature 25. of iteration cacle","T360 [°C]","T360  > Tatm",{"$f":"Res!K730-273","v":571.27384054721335},498.22149516015804]
[null,"Opening angle 25.Iterationszyklus","φ II [-°]","180°< φII < 270°",{"$f":"Res!Q6","v":247},250]
[null,"Minimal  pressure of 25. Iterationszyklus","pmin [bar]","< patm",{"$f":"Res!J738/10^5","v":0.83467199572752448},0.82312026299988572]
[null,"Maximum temperature of 25. iteration cycle","Tmax [°C]",null,{"$f":"Res!K739-273","v":978.64851576075989},938.29531469736116]
[null,"mean work","Wm [Nm]","> 0",5.3993246743378872E-3,1.9475618291626629E-2]
[null,"mean power","Pm [Nm/s]","> 0",0.56541595770820108,1.6315855826424859]
[null,"efficiency","h [%]"," 0 <  h < 10%",1.2829117449872931E-3,4.627523061535673E-3]
[null,"Diagramm",null,null,null,null,null,null,null,null,"  "]
[null,"Cylinder volume    ","dim.-less"," V/V0",3.4482758620689641E-2]
[null,"Crank angle         ","dim.-less"," j",0]
[null,"Start-temperature            ","dim.-less","T/TF",0.5731662199509735]
[null,"pressure     ","dim.-less","(p-pext)/(pext-pmin)",0,null,null,"     "]
[]
[null,null,null,null,null,"  "]
[]
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[]
[null,null," ","   "]
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[null,null,null," "]

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[]
[" cylinder diameter / inside (piston diameter) ","Di [m]","D",{"$f":"Input!E4/1000","v":2.5999999999999999E-2}]
["cyliner diameter / outside","Da [m]",null,{"$f":"Input!E5/1000","v":2.8000000000000001E-2}]
["Valve bore diameter (is not needed)","d [m]",null,{"$f":"Input!E7/1000","v":5.0000000000000001E-3}]
["Crank radius","r [m]",null,{"$f":"Input!E8/1000","v":1.4E-2}]
["Piston rod length","l [m]",null,{"$f":"Input!E9/1000","v":5.3999999999999999E-2}]
["Dead room length","x0 [m]","> 0",{"$f":"Input!E10/1000","v":1E-3}]
["angle difference","Dj [rad]","for calculation",{"$f":"2*PI()/Input!$E$11","v":8.7266462599716477E-3}]
[]
["chosen angle speed","w [s-1]",{"$f":"Input!E14","v":1000},{"$f":"PI()/30*Input!E14","v":104.71975511965977}]
["time difference","Dt [s]",null,{"$f":"D8/D10/D10","v":7.9577471545947688E-7}]
["Angle of  closing the valve for Phase I","jI  [rad]",{"$f":"Input!E12","v":135},{"$f":"PI()/180*Input!E12","v":2.3561944901923448}]
["Environment pressure","pext [kg/m/s²]",null,{"$f":"Input!E15*10^5","v":101325}]
["Flame temperature","TF    [K]",null,{"$f":"Input!E16+273","v":1473},null,null,null," "]
["Environment temperature","Tatm [K]",null,{"$f":"Input!E17+273","v":293},null,null,null," "]
["Cylinder material temperature  (heat transfer)","Tcyl [K]","irrelevant",{"$f":"Input!E18+273","v":293}]
["Medium of start temperatuter(suggestion)","T0    [K]","< 1/2·(TF-Text)+Text ",{"$f":"1/2*(D14-D15)","v":590},null,null,null,null,"   "]
["Medium of  start temperature (chosen)","T0    [K]",null,{"$f":"Input!E29+273","v":873}]
[]
["Spezific heat capacity of air /p=const","cp [m²/s²/K]",null,{"$f":"Input!E20","v":1001}]
["Spezific heat capacity of air / V=const","cV [m²/s²/K]",null,{"$f":"Input!E21","v":714}]
["spezific gas constant of air ","RS [m²/s²/K]","RS=cp-cv",{"$f":"D20-D21","v":287}]
["adibatic exponent (isotropic exponent)","g [-]","only for info, not used",{"$f":"(D20/D21)","v":1.4019607843137254}]
[]
["Heat transfer coefficient","k [kg/m²/s]","Suggestion",{"$f":"'k-trans'!E14","v":20.25600951890797}]
["Heat transfer coefficient","k [kg/m²/s]","gewählt",{"$f":"Input!E25","v":20},null,null,null," "]
[]
[null,null,null,null,null,null,null," "]
["Relation of piston rod","λ [-]","r/l",{"$f":"D5/D6","v":0.25925925925925924}]
["Relation of valve bore diameter (is not needed)","[-]","Di/d",{"$f":"D2/D4","v":5.1999999999999993}]
["Dim.-less length of dead room","x [-]","x0/r",{"$f":"D7/D5","v":7.1428571428571425E-2}]
["Dim.-less length of cylinder","d [-]","2 +x0/r",{"$f":"1+D7/D5","v":1.0714285714285714}]
[]
["Cylinder cross area  (cylinder bore section)","ACyl [m²]","π Di²/4",{"$f":"PI()*D2^2/4","v":5.3092915845667494E-4}]
["Medium  cylinder circumference","UCyl  [m]","π· (Da+Di)/2",{"$f":"PI()*(D2+D3)/2","v":8.4823001646924412E-2}]
["Start volume / dead room volune","V0  [m³]","AC·x0",{"$f":"D34*D7","v":5.3092915845667492E-7}]
["Maximom volume ","Vmax [m³]","ACyl·(2·r+x0)",{"$f":"D34*(D7+2*D5)","v":1.5396945595243576E-5},null,null,null," "]
[]
["Final temperature","Tend    [K]",null,{"$f":"Res!K730","v":844.27384054721335}]
["Starting mass","m0 [kg]","pext* V0 / (Rs*T0)",{"$f":"D13*D36/(D22*D18)","v":2.1471236187691363E-7}]
["Starting heat","Q0 [kgm²/s²]","cp·m0·T0",{"$f":"D18*D40*D18","v":0.16363851764489032},null," "]
[]
["Drag of valve bore / suck in      (is not needed)","ζin  [-]","ζ",{"$f":"(0.00594*($D$30^2)^4-0.113164*($D$30^2)^3+3.434483*($D$30^2)^2-4.6503938*($D$30^2)+1.823135)","v":3325.4251748523875}]
["Drag of valve bore / press out  (is not neede)","ζout [-]","ζ",{"$f":"(0.00594*($D$30^2)^4-0.113164*($D$30^2)^3+3.434483*($D$30^2)^2-4.6503938*($D$30^2)+1.823135)","v":3325.4251748523875}]
["coefficient (is not needed)","a0 [ ]","ζ / (2*RS)",{"$f":"D43/(2*D22)","v":5.7934236495686191}]
[]
[]
[]
[]
[]
["https://docs.microsoft.com/de-de/dotnet/visual-basic/language-reference/statements/exit-statement"]
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[]
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[]
[]
[]
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["Rohr",null,null,"Calculation","Lit."]
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[]
[]
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[]
[null,"i",null,"j(i) [rad]","x(i)/(2r+xo)","dx(i) [m]","(p(i)-pext)/(pext-pmin)","T(i)/TF","m(i)/mmax","Q(i)/Qo"]

{"sheet":"k-trans","index":7,"n_rows":29,"n_cols":6,"rows_kept":29,"cut":false,"hidden":false,"merged":[[2,1,2,3],[15,2,15,5],[16,2,16,5],[18,2,18,5],[19,2,19,5],[17,2,17,5]]}
[]
[]
[null,"Heat transfer coefficient"]
[null,null,null,null," "]
[null,"Rohr",null,null,"Gewählt"]
[null,"Luft ruhend / pipe  - air light moved","aa=ar [W/(m²K)]","5 … 17",24,"light moving air!"]
[null,"Luft bewegt / pipe - air moved","ai=av [W/(m²K)]","45 … 220",130,"High changing speed of air in the cylinder !!"]
[null,"Lambda Messing / brass --> Kupfer","1-Ms [W/(mK)]","95 …  120…380",110]
[null,"Lambda Alu / aluminium","2-Alu [W/(mK)]","210 … 235",220]
[null,"Lambda Stahl / steel","3-St [W/(mK)]","40 … 60",50]
[null,"Lambda gewählt / chosen","l - gew [W/(mK)]",null,{"$f":"IF(Input!E6=1,'k-trans'!E8,IF(Input!E6=2,'k-trans'!E9,IF(Input!E6=3,'k-trans'!E10)))","v":110}]
[null,"Außendurchmesser Rohr / Zylinder  Outer diameter of pipe / cylinder","Da [mm]",null,{"$f":"Val!D3","v":2.8000000000000001E-2}]
[null,"Innendurchmesser Rohr / Zylinder  Inner diameter of pipe / Zylinder","Di [mm]",null,{"$f":"Val!D2","v":2.5999999999999999E-2}]
[null,"Wärmedurchgangszahl                             Heat transfer coefficient","k [kg/s³/K]","3 … 30",{"$f":"1*IF(Input!E6=1,1/(1/E7+(E12-E13)/(2*E11)+1/E6),IF(Input!E6=2,1/(1/E7+(E12-E13)/(2*E11)+1/E6),IF(Input!E6=3,1/(1/E7+(E12-E13)*(2*E11)+1/E6))))","v":20.25600951890797}]
[]
[null,"Quellen / sources:","Handbuch Maschinenbau 21. Auflage,  2013, Springer Vieweg Verlag, F33 ff"]
[null,null,"Technische Formeln, VEB Fachbuchverlag Leipzig, 17. Auflage, 1975"]
[null,null,"https://www.schweizer-fn.de/stoff/wuebergang_gase/wuebergang_gase.php"]
[null,null,"Gerthsen  Physik, Springer-Verlag, 21. Auflage, 1995"]
[null,null,"https://de.wikipedia.org/wiki/W%C3%A4rmeleitf%C3%A4higkeit"]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,"  "]

{"sheet":"check ","index":8,"n_rows":384,"n_cols":19,"rows_kept":384,"cut":false,"hidden":true,"merged":[]}
[null,null,"M",null,null,null,null,null,null,null,"B"]
[]
[]
[null,null,null,"(rayon*COS(B61)+(bielle^2-((rayon*SIN(B61))^2))^0,5)"]
[null,null,null,"(rayon*COS(B61)+(bielle^2-rayon^2*SIN(B61)^2))^0,5)"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,"(rayon*COS(B61)+(bielle^2-(rayon^2*(SIN(B61))^2))^0,5)"]
[]
[null,null,"r [mm]","l [mm]","index n2p","n [min-1]",null,null,null,"w [s-1]"," l  =r / l [-]","diff.-time dt [s]"]
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[]
[]
[null,null,null,null,null,"Meunier","exactly","exactly","exactly","approached","exactly ?",null,"Bladt","approached  ","approached","approached","approached ?",null,"  "]
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