Concept explainers
(a)
The heat transfer surface area of the heat exchanger using
(a)
Explanation of Solution
Given:
The number of shell passes is
The number
The specific heat
The inlet temperature
The outlet temperature
The mass flow rate
The specific heat
The inlet temperature
The outlet temperature
The overall heat transfer coefficient
Calculation:
Calculate the temperature differences between the two fluids at the two ends of the heat exchanger using the relation.
Calculate the logarithmic mean temperature difference (
Calculate the value of
Calculate the value of
Refer Figure 22-19 “Correction factor
Obtain the value of correction factor
Calculate the rate of heat transfer using the relation
Calculate the surface area of heat exchanger using the relation.
Thus, The heat transfer surface area of the heat exchanger using LMTD method is
(b)
The heat transfer surface area of the heat exchanger using
(b)
Explanation of Solution
Calculation:
Calculate the rate of heat transfer using the relation.
Calculate the mass flow rate of hot fluid using the relation.
Calculate the heat capacity rates of the hot and cold fluids using the relation
Calculate the capacity rate ratio using the relation.
Calculate the maximum heat transfer rate using the relation.
Calculate the effectiveness of heat exchanger using the relation.
Refer Figure 22-27 “effectiveness of heat exchangers”.
Obtain the value of
Calculate the heat transfer surface area of the heat exchanger using the relation.
Thus, The heat transfer surface area of the heat exchanger using
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Chapter 22 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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