To slow down large prime movers like locomotives, aprocess

Chapter 8, Problem 8.91

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To slow down large prime movers like locomotives, aprocess termed dynamic electric braking is used toswitch the traction motor to a generator mode inwhich mechanical power from the drive wheels isabsorbed and used to generate electrical current. Asshown in the schematic, the electric power is passedthrough a resistor grid (a), which consists of an arrayof metallic blades electrically connected in series (b).The blade material is a high-temperature, high electri-cal resistivity alloy, and the electrical power is dissi-pated as heat by internal volumetric generation. Tocool the blades, a motor- fan moves high-velocity airthrough the grid.(a) Treating the space between the blades as a rectan- gular channel of 220-mm?4-mm cross sectionand 70-mm length, estimate the heat removal rateper blade if the airstream has an inlet temperatureand velocity of 25C and 50 m/s, respectively,while the blade has an operating temperature of600C.(b) On a locomotive pulling a 10-car train, there maybe 2000 of these blades. Based on your result frompart (a), how long will it take to slow a train whosetotal mass is 106kg from a speed of 120 km/h to50 km/h using dynamic electric braking?

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