NE528_HW_5_Fall_09_with_solutions

NE528_HW_5_Fall_09_with_solutions - NE528 HW#5 Fall 2006...

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NE528 HW#5 Fall 2006 (Total 70 points) Due Monday, November 16 by class time Problem 1 (20 points) In many plasma devices for plasma-aided manufacturing processes, a mixture of gases, mainly etchant gases mixed with inert gases, forms the plasma. Such multi-species fully ionized plasma is usually of unequal electron and ion temperatures ( ). In absence of magnetic field, derive the expression of the ambipolar diffusion coefficient for this plasma. 123 ei i i i TTT T T ≠≠≠≠ 4 Problem 2 (20 points) It is proposed to build a fusion power plant for the Mars Mission Surface Station, operating on the D-T reaction with 1:1 fuel mixture. The magnetic field strength is 5T and the blanket has no multiplication factor, i.e. M=1. The plasma is fully ionized, and the reactor will operate at equal ion and electron kinetic temperatures (T e = T i = T). The first wall is designed such that the cyclotron radiation is absorbed and has a modified scaling factor of (n i x 10 -22 ), i.e. absorbed cyclotron power = n i x 10 -22 x P cyc . - Derive an expression for the Lawson parameter of this fusion reactor. - Discuss the condition(s) under which this reactor can produce net power to the grid. Useful Information: P Br = 5 . 35 x 10 -37 [ γ Z 1 + ( 1 ) Z 2 ] [ Z 1 2 + ( 1 ) Z 2 2 ] T e 1 / 2 n i 2 = C Br n i 2 P cyc = 6 . 12 x 10 -17 n e T e B 2 ( 1 + T e 146 ) P E = 2 . 44 x 10 -16 [ 1 + Z 1 + ( 1 ) Z 2 ] T i n i τ = C E n i P fus = M g 12 E 12 σ v 12 n i 2 = C fus n i 2
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Problem 3 (30 points) Inclusion of auxiliary systems in the power flow of a fusion reactor, such as power needed for magnet systems, vacuum pumps, drivers for additional heating (e.g. microwave injectors) and pellet injectors, etc. means that such auxiliary systems are taking a fraction of the power re-circulated from the total reactor generated power. For hydrogenic plasma, the equations of power densities could
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This note was uploaded on 12/08/2010 for the course PY 528 taught by Professor Bourham during the Fall '09 term at N.C. State.

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NE528_HW_5_Fall_09_with_solutions - NE528 HW#5 Fall 2006...

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