A DT fusion reactor, with no impurities present and the DT mixture optimized for maximum fusion...

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A DT fusion reactor, with no impurities present and the DT mixture optimized for maximum fusion power output (i.e. 50% T and 50% D), is turned on at time t = to s and is thereafter operated at constant pressure p = nokBT where no indicates the total plasma density, that is, the sum of the density of all the species present in the plasma. Assume that the only fusion reactions occurring are those between D and T (i.e. no DD reactions occur) and that all species have the same temperature T. 1) Which particle species are present in the plasma at times t = to s and t > to? Assume that the a particle loss rate is given by na/Ta, where Ta is the a particle confinement time (that is the characteristic time the a-s stay in the plasma). 2) Write the equation that describes the change in time of the a particle density. Assuming no = 2× 1020 m-³, a plasma volume of 10 m³ and T = 10 keV, calculate numerically, plot as a function of time and explain your findings: 3) the density of the electrons; 4) the density of fuel ions and a particles; 5) the Zeffi 6) the fusion power; 7) the power losses due to braking radiation up to t = 500 s for Ta 200 s. 10) How is the steady state sustained? Motivate your answer. The power loss density due to braking radiation in W/m³ is given by: SB = kZeffn²T¹/2 0.1 S, Ta 8) What is the reduction in fusion power due to helium ash accumulation in the three cases? If the initial particle density no is half the value given above, 9) How much does the fusion power change? where Te is in keV and k = 5 x 10-37 m³ keV ¹/2/s. 50 s and Ta = (1) A DT fusion reactor, with no impurities present and the DT mixture optimized for maximum fusion power output (i.e. 50% T and 50% D), is turned on at time t = to s and is thereafter operated at constant pressure p = nokBT where no indicates the total plasma density, that is, the sum of the density of all the species present in the plasma. Assume that the only fusion reactions occurring are those between D and T (i.e. no DD reactions occur) and that all species have the same temperature T. 1) Which particle species are present in the plasma at times t = to s and t > to? Assume that the a particle loss rate is given by na/Ta, where Ta is the a particle confinement time (that is the characteristic time the a-s stay in the plasma). 2) Write the equation that describes the change in time of the a particle density. Assuming no = 2× 1020 m-³, a plasma volume of 10 m³ and T = 10 keV, calculate numerically, plot as a function of time and explain your findings: 3) the density of the electrons; 4) the density of fuel ions and a particles; 5) the Zeffi 6) the fusion power; 7) the power losses due to braking radiation up to t = 500 s for Ta 200 s. 10) How is the steady state sustained? Motivate your answer. The power loss density due to braking radiation in W/m³ is given by: SB = kZeffn²T¹/2 0.1 S, Ta 8) What is the reduction in fusion power due to helium ash accumulation in the three cases? If the initial particle density no is half the value given above, 9) How much does the fusion power change? where Te is in keV and k = 5 x 10-37 m³ keV ¹/2/s. 50 s and Ta = (1)

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1 The particle species present in the plasma at times t to s and t to are electrons deuterium ions tritium ions and helium4 ions The a particles are p... View the full answer