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

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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.

Fresh Air Dampe
Combustion
W
Time since
FR
40.7%
.
PV746 PS
SP 75.0 PGI
CV406%
Damper
stencer
BPM Const
40.6%
kader
Stack Damper
100
Gegen
Manu
Press
DMS Inte
Warmup Control
Enable Off
Oran Leve
PIT
350
Windbox
BOILER #1 (BUZZ) OVERVIEW
CA
200
Economizer
B-1 BUZZ
GAS
Water
180 psia
222°F
Drum
40.9
Gas Va
of vave
20.3%
OAT: 39 F
STEAM HEADER
FIT
FEE
HEADER PVP
VDONE FLOW 215 P
DA LEVEL: 41.9
Boter 1 Mun Hours: 201
Gas Flow
26.4 Kach
DE FLOW
GPM
ER
#
SYSTEM IN MODE 6
9
Sat Steam
322°F
Transcribed Image Text:Fresh Air Dampe Combustion W Time since FR 40.7% . PV746 PS SP 75.0 PGI CV406% Damper stencer BPM Const 40.6% kader Stack Damper 100 Gegen Manu Press DMS Inte Warmup Control Enable Off Oran Leve PIT 350 Windbox BOILER #1 (BUZZ) OVERVIEW CA 200 Economizer B-1 BUZZ GAS Water 180 psia 222°F Drum 40.9 Gas Va of vave 20.3% OAT: 39 F STEAM HEADER FIT FEE HEADER PVP VDONE FLOW 215 P DA LEVEL: 41.9 Boter 1 Mun Hours: 201 Gas Flow 26.4 Kach DE FLOW GPM ER # SYSTEM IN MODE 6 9 Sat Steam 322°F
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