All the nearby buildings' heating is provided by saturated steam generated at a nearby steam plant using natural gas boilers. On March 13th, 2019 (cycle weather bomb), the area experienced a cold front with outdoor air temperature equal to 39°F at 9 am. After heating all buildings in the area, water returns to the boiler as saturated liquid at 222°F. Water is then preheated and pressurized to 222°F and 180 psig (state before entering the boiler). Water leaves the boiler as saturated vapor at 322°F. For this date/time steam mass flow rate was 21,900 lbm/hr. Boiler combustion produces combustion gases at 3,000°F at 20psia, which leaves the boiler at 400°F 19.5psia. Determine: The pressure of the steam leaving the boiler and the oiler heat capacity (heat needed to produce steam at the given flowrate and temperature, MMBtu/h) Mass air flow rate (lbm/h) and he exergy destroyed (MMBtu/h) in the boiler Second law efficiency in the boiler
All the nearby buildings' heating is provided by saturated steam generated at a nearby steam plant using natural gas boilers. On March 13th, 2019 (cycle weather bomb), the area experienced a cold front with outdoor air temperature equal to 39°F at 9 am. After heating all buildings in the area, water returns to the boiler as saturated liquid at 222°F. Water is then preheated and pressurized to 222°F and 180 psig (state before entering the boiler).
Water leaves the boiler as saturated vapor at 322°F. For this date/time steam mass flow rate was 21,900 lbm/hr.
Boiler combustion produces combustion gases at 3,000°F at 20psia, which leaves the boiler at 400°F 19.5psia.
Determine:
- The pressure of the steam leaving the boiler and the oiler heat capacity (heat needed to produce steam at the given flowrate and temperature, MMBtu/h)
- Mass air flow rate (lbm/h) and he exergy destroyed (MMBtu/h) in the boiler
- Second law efficiency in the boiler
Assumptions:
- Steady operating conditions exist and Kinetic and potential energy changes are negligible.
- Combustion gases are assumed to be air and modeled as an ideal gas (you cannot use Cp or Cv).
- You cannot assume pressure remains constant in the boiler.
The image below depicts a simplified model of the system, as well as an actual picture of the boiler at the time of this problem.
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