Simulation of the Effects of an Air Blast Wave - ELSA - Europa

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1E+3Impulse [Pa sec]8E+26E+24E+2.bubble1bubble2bubble3Kinney 2kgKingery 2kg2E+20E+00 0.5 1 1.5 2 2.5 3Scaled Distance [m/kg 1/3 ]Figure 39: Comparison of several compressed bubble models (impulse)2E+6Max. pressure [Pa]2E+61E+68E+5Kingerybubble1bubble2bubble34E+50E+00 0.5 1 1.5 2 2.5 3 3.5 4Scaled distance [m/kg 1/3 ]Figure 40: Comparison of several compressed bubble models (maximum pressure)54
Several calculations are done with models with a radius of 0.5 m of the compressed bubble and withdifferent overpressures. The best fitted curve for the model bubble1 is the impulse-distance curvewith approximately 2 kg TNT (see Figure 39). All the resulting impulse-distance curves are fitted tocurves from Kingery to get a corresponding TNT equivalent. The values of the TNT equivalents fordifferent overpressures in the bubble are shown in Figure 41.The bubble with the overpressure corresponds to an amount of energy that can be calculated withVE =5bub( pbub−10 )γ −1(22)This energy can also be converted in a TNT equivalent. 1kg TNT has the energy of 4520 kJ. This isthe energy that is introduced in the model.The corresponding energy and the introduced energy (both in TNT equivalent) are shown in Figure41. The curves show in the logarithmic scale of the pressure an increasing dependency on thepressure. The reference pressure in Figure 41 is not the overpressure in the bubble. The TNTequivalent corresponding to the impulse-distance curve can also be transformed in a bubbleoverpressure with the same energy. This pressure is used in the Figure 41 due to a better calculationof the necessary bubble overpressure by a given charge.14Energy [kg TNT equivalent]1210864Resulting pressure wave in TNTEnergy of overpressure in TNT201E+6 1E+7 1E+8Pressure = energy of the corresponding TNT equivalent (resulting pressure wave) [Pa]Figure 41: Comparison of the energy of the fitted curve with the energy of the bubble (modelsbubble3-bubble8)55
Page 1 and 2:
Simulation of the Effectsof an Air
Page 3 and 4: Distribution ListLechner S.Anthoine
Page 5 and 6: 1 IntroductionThis work is being co
Page 7 and 8: • Far zone. The blast wave result
Page 9 and 10: Figure 2: Model of Kingery [14] wit
Page 11 and 12: 2.2.3 ImpulseThe impulse of the air
Page 13 and 14: Figure 5: Different parameters for
Page 15 and 16: 250200Impulse from KingeryImpulse w
Page 17 and 18: the specific heat ratio and the spe
Page 19 and 20: determined with a fluid pre-calcula
Page 21 and 22: From this asymptotic form it can al
Page 23 and 24: 2.0E+101.6E+10without burn mass fra
Page 25 and 26: Case opening d pyra d ex,in d ex,en
Page 27 and 28: Pressure [Pa]2.4E+102.0E+101.6E+101
Page 29 and 30: 5.0E+094.0E+09EUROPLEXUS x=0.105EUR
Page 31 and 32: Cased pyr /d ex,in /d ex,end /d air
Page 33 and 34: Figure 21: Comparison of a coarse w
Page 35 and 36: CON9This model has approximately th
Page 37 and 38: 4E+7Max. pressure [Pa]3E+72E+7Kinge
Page 39 and 40: Case Size of the model Description
Page 41 and 42: CUB4This model uses a finer mesh th
Page 43 and 44: 6. Complete the volumes by adding t
Page 45 and 46: Figure 33: Maximum pressures versus
Page 47 and 48: experimental values is obtained wit
Page 49 and 50: 4.6.3 Arrival TimeThe arrival time
Page 51 and 52: value in [13]). These results show
Page 53: Modell airl bBubbleBubbleBubbleTNT
Page 57 and 58: 3. Calculation of the factor α bub
Page 59 and 60: quadratic. Therefore, the size of t
Page 61 and 62: 400Impulse [Pa sec]300200.Kingery 5
Page 63 and 64: 5 = hemispherical detonation (half
Page 65 and 66: 9 References[1] Alia, A.; Souli, M.
Page 67 and 68: 10 Apendix10.1 EUROPLEXUS Codedyms.
Page 69 and 70: CALLMECVAL(GET_FMT(6),NEWMAT%MATVAL
Page 71 and 72: 10.2 Miscellaneous codeairblastresu
Page 73 and 74: else{ //Kingerydouble t=log10(z);do
Page 75 and 76: maxar=0;REPE I0 (NBEL vges);ar = as
Page 77 and 78: *defining the surfaces around the a
Page 79 and 80: lpyr1 = p1 d ppy2;lpyr2 = p1 d ppy3
Page 81 and 82: lpyr2 = p1 d ppy3;lpyr3 = p1 d ppy4
Page 83: *Cube intermediaire (centre=o0 et a
Page 86: The mission of the JRC is to provid
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Simulation of the Effects of an Air Blast Wave - ELSA - Europa

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