Remarks On the Mathematical Theory of Detonation And Deflagration Waves in Gases
Remarks On the Mathematical Theory of Detonation And Deflagration Waves in Gases
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° COHPIDENTIAL 11 CONFIDENTIAL 2. General remarks on the determinacy of a flow Involving a discontinuity front .
As was said before, we restrict our discussion to the case of gases filling a long tube and asstime that all processes are one -dimensional, (an assumption which will be actually satisfied for combustion processes only If the tube has a con- siderable width).
Assuming that the state of the gas at some Initial time is given and that at this initial time a reaction front occxxrs at som...e place, we ask how far the flow is then determined by the three laws of conservation and the boundary conditions Im- posed at the ends of the tube. (These conservation laws are, as said before, nothing but the flow differential equations In the continuous regions of the flow and the transition relations I, II, III at a reaction front. ) We specify our initial conditions by assvuning that at time t = 0, the explosive is at rest in the half infinite tube X ^ 0, that a reaction begins at t = at the closed end x = 0, and that the closed end is operated as a piston moving with the prescribed velocity TJ.
What to read after Remarks On the Mathematical Theory of Detonation And Deflagration Waves in Gases?
You can find similar books in the "Read Also" column, or choose other free books by Richard Courant to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
° COHPIDENTIAL 11 CONFIDENTIAL 2. General remarks on the determinacy of a flow Involving a discontinuity front .
As was said before, we restrict our discussion to the case of gases filling a long tube and asstime that all processes are one -dimensional, (an assumption which will be actually satisfied for combustion processes only If the tube has a con- siderable width).
Assuming that the state of the gas at some Initial time is given and that at this initial time a reaction front occxxrs at som...e place, we ask how far the flow is then determined by the three laws of conservation and the boundary conditions Im- posed at the ends of the tube. (These conservation laws are, as said before, nothing but the flow differential equations In the continuous regions of the flow and the transition relations I, II, III at a reaction front. ) We specify our initial conditions by assvuning that at time t = 0, the explosive is at rest in the half infinite tube X ^ 0, that a reaction begins at t = at the closed end x = 0, and that the closed end is operated as a piston moving with the prescribed velocity TJ.
What to read after Remarks On the Mathematical Theory of Detonation And Deflagration Waves in Gases?
You can find similar books in the "Read Also" column, or choose other free books by Richard Courant to read onlineMoreLess
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