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1. (10 points) In a nuclear reactor, the Integrated Rod Worth (IRW) is a measure of the total amount of reactivity inserted when withdrawing a
1. (10 points) In a nuclear reactor, the Integrated Rod Worth (IRW) is a measure of the total amount of reactivity inserted when withdrawing a control rod from zero elevation (full insertion) to some height measured in inches, cm or percent. For the OSU TRIGA reactor, a typical example looks like: Elevation [%] IRW[S] DRW [$/percent) 0 0.00 ? 10 0.13 ? 20 0.38 ? 30 0.73 40 1.18 ? 50 1.65 ? 60 2.09 70 2.41 ? 80 2.69 ? 90 2.85 ? 100 2.89 ? Your task is to calculate and plot Differential Rod Worth (DRW) at cleven points. At the low end (elevation = 0.00) calculate (show work) and use a four-point forward differencing scheme (z = 0, z= 10, z = 20 and 2 = 30). At the high end, calculate and use a four-point backwards differencing scheme. At all other points, use a three-point central differencing scheme, such as can be found in the class notes. 1. (10 points) In a nuclear reactor, the Integrated Rod Worth (IRW) is a measure of the total amount of reactivity inserted when withdrawing a control rod from zero elevation (full insertion) to some height measured in inches, cm or percent. For the OSU TRIGA reactor, a typical example looks like: Elevation [%] IRW[S] DRW [$/percent) 0 0.00 ? 10 0.13 ? 20 0.38 ? 30 0.73 40 1.18 ? 50 1.65 ? 60 2.09 70 2.41 ? 80 2.69 ? 90 2.85 ? 100 2.89 ? Your task is to calculate and plot Differential Rod Worth (DRW) at cleven points. At the low end (elevation = 0.00) calculate (show work) and use a four-point forward differencing scheme (z = 0, z= 10, z = 20 and 2 = 30). At the high end, calculate and use a four-point backwards differencing scheme. At all other points, use a three-point central differencing scheme, such as can be found in the class notes
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