Carbon dioxide flows steadily through a varying cross-sectional-area duct such as a nozzle at a mass flow rate of 3 kg/s. The carbon dioxide enters the duct at a pressure of 1400 kPa and 200°C with a low velocity, and it expands in the nozzle to a pressure of 200 kPa. The duct is designed so that the flow can be approximated as isentropic. Determine the following parameters at each location along the duct that corresponds to a pressure drop of 200 kPa: (i) density; (ii) velocity; (iii) flow area; (iv) mach number. You may assume: • Carbon dioxide is an ideal gas with constant specific heats at room temperature; • Flow through the duct is steady, one-dimensional and isentropic. Use cp= 0.846 kJ/kgK and k = 1.289 throughout the calculations, which are the constant-pressure specific heat and specific heat ratio values of carbon dioxide at room temperature. The gas constant of carbon dioxide is R = 0.1889 kJ/kg K.
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Carbon dioxide flows steadily through a varying cross-sectional-area duct such as a nozzle at a mass flow rate of 3 kg/s. The carbon dioxide enters the duct at a pressure of 1400 kPa and 200°C with a low velocity, and it expands in the nozzle to a pressure of 200 kPa. The duct is designed so that the flow can be approximated as isentropic.
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Determine the following parameters at each location along the duct that corresponds to a pressure drop of 200 kPa:
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(i) |
density; |
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(ii) |
velocity; |
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(iii) |
flow area; |
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(iv) |
mach number. |
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You may assume: |
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• Carbon dioxide is an ideal gas with constant specific heats at room temperature; |
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• Flow through the duct is steady, one-dimensional and isentropic. |
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Use cp= 0.846 kJ/kgK and k = 1.289 throughout the calculations, which are the constant-pressure specific heat and specific heat ratio values of carbon dioxide at room temperature. The gas constant of carbon dioxide is R = 0.1889 kJ/kg K. |
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