You are in charge of replacing a chiller that is used as part of a distillation process that condenses methanol (boiling point = 65 °C). Your task is to select the most economical type of system. A conventional chiller will have a lower first cost and will have lower maintenance costs than one that involves enhanced heat transfer surfaces, but the chiller with enhanced surfaces will condense the same amount of alcohol with a lower energy consumption. Select the appropriate chiller by considering the net present value of both systems. That value will involve the first cost of the chiller, and the present value of the maintenance and energy costs. Some information for the analysis: ● ● ● ● ● ● ● The chiller uses a standard vapor-compression refrigeration cycle with R-22 (see Figure 1 below). For this analysis, assume that it operates under an ideal refrigeration cycle. Electricity to run the chiller is bought by the facility at a rate of $0.11 per kWh. That rate is expected to increase at a rate of $0.0025 annually. Cycle information: o There is a sensor and controller at the inlet to the compressor that modulates the mass flow rate of refrigerant to ensure that the vapor entering the compressor is saturated. O The compressor has a flat compressor curve, meaning that the pressure increase across the compressor is insensitive to mass flow rate through it. That pressure increase is 1500 kPa. o Assume that the compressor is 90 % efficient in this operating regime. The chiller must condense methanol at a rate of 0.25 kg/s. The heat of vaporization of methanol is 1102 kJ/kg at atmospheric pressure. For any heat transfer analysis, you can assume that the methanol is at the condensation temperature (65 °C) throughout the process. The system runs 10 hours per day, 250 days per year. The chiller is projected to last 20 years, so the economic analysis should consider that time frame. Assume an inflation rate of 3 %. Maintenance costs are expected to increase at a rate of $1000 per year for each chiller. The evaporator's UA values and other characteristics of each chiller are given below (note: The "evaporator" of the chiller will actually be the component on which the alcohol will condense. "Evaporation" refers to the process for the refrigerant inside the tubes, not that outside the tubes).

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Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.28P
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Analyze the condensation process using both chillers. Provide operating temperatures and 
pressures entering each component shown in the diagram (at points 1, 2, 3, 4). Indicate which chiller should be chosen based on the economics

You are in charge of replacing a chiller that is used as part of a distillation process that condenses
methanol (boiling point = 65 °C). Your task is to select the most economical type of system. A
conventional chiller will have a lower first cost and will have lower maintenance costs than one
that involves enhanced heat transfer surfaces, but the chiller with enhanced surfaces will condense
the same amount of alcohol with a lower energy consumption. Select the appropriate chiller by
considering the net present value of both systems. That value will involve the first cost of the
chiller, and the present value of the maintenance and energy costs.
Some information for the analysis:
The chiller uses a standard vapor-compression refrigeration cycle with R-22 (see Figure 1
below). For this analysis, assume that it operates under an ideal refrigeration cycle.
Electricity to run the chiller is bought by the facility at a rate of $0.11 per kWh. That rate
is expected to increase at a rate of $0.0025 annually.
• Cycle information:
O
●
●
There is a sensor and controller at the inlet to the compressor that modulates the
mass flow rate of refrigerant to ensure that the vapor entering the compressor is
saturated.
O The compressor has a flat compressor curve, meaning that the pressure increase
across the compressor is insensitive to mass flow rate through it. That pressure
increase is 1500 kPa.
O Assume that the compressor is 90% efficient in this operating regime.
The chiller must condense methanol at a rate of 0.25 kg/s. The heat of vaporization of
methanol is 1102 kJ/kg at atmospheric pressure. For any heat transfer analysis, you can
assume that the methanol is at the condensation temperature (65 °C) throughout the
process.
The system runs 10 hours per day, 250 days per year.
The chiller is projected to last 20 years, so the economic analysis should consider that time
frame. Assume an inflation rate of 3 %.
Maintenance costs are expected to increase at a rate of $1000 per year for each chiller.
The evaporator's UA values and other characteristics of each chiller are given below (note:
The "evaporator" of the chiller will actually be the component on which the alcohol will
condense. "Evaporation" refers to the process for the refrigerant inside the tubes, not that
outside the tubes).
Transcribed Image Text:You are in charge of replacing a chiller that is used as part of a distillation process that condenses methanol (boiling point = 65 °C). Your task is to select the most economical type of system. A conventional chiller will have a lower first cost and will have lower maintenance costs than one that involves enhanced heat transfer surfaces, but the chiller with enhanced surfaces will condense the same amount of alcohol with a lower energy consumption. Select the appropriate chiller by considering the net present value of both systems. That value will involve the first cost of the chiller, and the present value of the maintenance and energy costs. Some information for the analysis: The chiller uses a standard vapor-compression refrigeration cycle with R-22 (see Figure 1 below). For this analysis, assume that it operates under an ideal refrigeration cycle. Electricity to run the chiller is bought by the facility at a rate of $0.11 per kWh. That rate is expected to increase at a rate of $0.0025 annually. • Cycle information: O ● ● There is a sensor and controller at the inlet to the compressor that modulates the mass flow rate of refrigerant to ensure that the vapor entering the compressor is saturated. O The compressor has a flat compressor curve, meaning that the pressure increase across the compressor is insensitive to mass flow rate through it. That pressure increase is 1500 kPa. O Assume that the compressor is 90% efficient in this operating regime. The chiller must condense methanol at a rate of 0.25 kg/s. The heat of vaporization of methanol is 1102 kJ/kg at atmospheric pressure. For any heat transfer analysis, you can assume that the methanol is at the condensation temperature (65 °C) throughout the process. The system runs 10 hours per day, 250 days per year. The chiller is projected to last 20 years, so the economic analysis should consider that time frame. Assume an inflation rate of 3 %. Maintenance costs are expected to increase at a rate of $1000 per year for each chiller. The evaporator's UA values and other characteristics of each chiller are given below (note: The "evaporator" of the chiller will actually be the component on which the alcohol will condense. "Evaporation" refers to the process for the refrigerant inside the tubes, not that outside the tubes).
Chiller
Conventional
Enhanced
S
3
selan
yra
T
Price
$700,000 10
$800,000 20
Throttling valve
4
Evaporator UA
value
[kW/(K)]
Condenser
bo W 3
hallet has
QE
P= constant
201
200
A
h = constant
P= constant
bcd
2
081
1
First Year Maintenance
Cost
S
$10 000
$11 000
Compressor
Evaporator
Wep
Transcribed Image Text:Chiller Conventional Enhanced S 3 selan yra T Price $700,000 10 $800,000 20 Throttling valve 4 Evaporator UA value [kW/(K)] Condenser bo W 3 hallet has QE P= constant 201 200 A h = constant P= constant bcd 2 081 1 First Year Maintenance Cost S $10 000 $11 000 Compressor Evaporator Wep
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