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Plane-flame simulation of the wake behind an internally propelled vehicle Part 1, simulation of a supersonic vehicle by a…

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SYMBOLS Ol speed of sound A=- o../o...D nondimensional speed of sound ~ specific heat at constant pressure c..~ : ~ +.TL…
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3 dissipated frictional work distance ratio of specific heats 'e -:. ~/L- ~ _ nondimensiona1ized distance ~…
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1. INTRODUCTION Considerable attention has recently been given to the gasdynamics of the flow in the air columns adjacent to…
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motion for a sufficiently long time in a tube of reasonable length, but also because of the smallness of local effects that…
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Description of the Model The primary objective of this study is an understanding of the mechanism of transition to steady…
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The flow field between the detonation and the retonation shock is analyzed by the method of characteristics for one-…
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2. EQUATIONS OF MOTION The equations of motion for one dimensional nonsteady flow areS d'~'? ':.. A. c5\:~ ~…
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For nonsteady flow the time averaged values of C~ do not differ con- siderab1y from the steady state values providing the flow…
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Entropy Change Due to Heat Transfer The entropy change of a fluid element due to the heat transferred to the element is For…
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11 Substitution of equation (2.6) into (2.5) yields (2.7) _ 0 1- Using the relation \ = T ( \ .... T--=l f'.I\ ) and…
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3. RESULTS Equations (2.9), (2.10) and (2.11) are numerically integrated using a finite difference technique on the IBM…
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does not change. Across the interface there is a decrease in entropy from 3.46 on the right to 0.129 on the left. The speed of…
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Both the magnitude of the flow velocity, \U\ , and the speed of sound are decreased by these effects, thus causing a gradual…
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The pressure distribution in the expansion wave at various times in a coordinate system fixed to the detonation is plotted in…
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4. CONCLUSIONS The flow field induced by a detonation propagating in an infinite tube is qualitatively similar to that…
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5. APPENDICES 5.1 APPENDIX I Solution for Inviscid and Adiabatic Flow The flow conditions immediately behind the detonation…
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across the shock. 18 The steady flow equations are formulated in a frame of reference moving with the shock. These equations…
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19 5.2 APPENDIX 2 Construction of the Characteristic Grid A sketch of the characteristic grid for when friction and heat…
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8ince the ~ characteristic from point 6 does not intersect the shock between 8 and 8', the flow conditions at 8' are…
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5.4 APPENDIX 3 Integration of Equations The equations of motion (2.9), (2.10) the characteristics, ~ :. 01" f>.. and…
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22 line 1-2. The location of point 4 depends upon the slope of the particle pathline between points 3 and 4, which in turn…
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using the average slopes of the characteristics between point 3 and the original points. This procedure is continued until…
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The G< characteristic through point 4 originates at point 5 along line 2-3. If the distance between points 2 and 3 is small…
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25 In figure 13 a ~ shock is propagating into a gas at rest. The flow conditions in this gas are: 7., =5, Q .. =5,S,,=0…
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the average slope for the characteristic between points 2 and 3 and for the shock between points 1 and 3. This procedure is…
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