ion range of Question 5: OPTIONAL FOR EXTRA CREDIT . Oil flowing at the rate of 6.0 kg/s (Cpm = 2.1 kJ/kg · K) is cooled in a 1-2 heat exchanger from 370.1 K to 350.2 K by 3.0 kg/s of water entering at 280.2 K. The overall heat-transfer coefficient Uo is 350 W/m²K. Calculate the heat exchanger area required. (Hint: A heat balance must first be made to determine the outlet water temperature. Use the heat exchanger chart of Figure 4.9-4 4th edition or Figure 16.2-1 of the 5th edition of the class text to estimate the log mean temperature difference correction Factor, FT) 8:59 gas flow (a) gas flow (b) : Figure 16.1-3. Flow patterns of cross-flow heat exchangers: (a) one fluid mixed (gas) and one fluid unmixed; (b) both fluids unmixed. Discussions of other types of specialized heat-transfer equipment will be deferred to Section 15.8. The remainder of this section deals primarily with shell-and-tube and cross-flow heat exchangers. 16.2 Log-Mean-Temperature-Difference Correction Factors In Section 13.2B it was shown that when the hot and cold fluids in a heat exchanger are in true countercurrent flow or in cocurrent (parallel) flow, the log mean temperature difference should be used: AT Im AT-AT In (AT/AT) (16.2-1) where AT2 is the temperature difference at one end of the exchanger and AT1 at the other end. This AT1m holds for a double-pipe heat exchanger and a 1-1 exchanger with one shell pass and one tube pass in parallel or counterflow. In cases where a multiple-pass heat exchanger is involved, it is necessary to obtain a different expression for the mean temperature difference, depending on the arrangement of the shell and tube passes. Considering first the one-shell-pass, two-tube-pass exchanger in Fig. 16.1- 671

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Answer question
ion range of
Question 5: OPTIONAL FOR EXTRA CREDIT
.
Oil flowing at the rate of 6.0 kg/s (Cpm = 2.1 kJ/kg · K) is
cooled in a 1-2 heat exchanger from 370.1 K to 350.2 K by 3.0
kg/s of water entering at 280.2 K. The overall heat-transfer
coefficient Uo is 350 W/m²K. Calculate the heat exchanger area
required.
(Hint: A heat balance must first be made to determine the outlet
water temperature. Use the heat exchanger chart of Figure 4.9-4
4th edition or Figure 16.2-1 of the 5th edition of the class text to
estimate the log mean temperature difference correction Factor,
FT)
Transcribed Image Text:ion range of Question 5: OPTIONAL FOR EXTRA CREDIT . Oil flowing at the rate of 6.0 kg/s (Cpm = 2.1 kJ/kg · K) is cooled in a 1-2 heat exchanger from 370.1 K to 350.2 K by 3.0 kg/s of water entering at 280.2 K. The overall heat-transfer coefficient Uo is 350 W/m²K. Calculate the heat exchanger area required. (Hint: A heat balance must first be made to determine the outlet water temperature. Use the heat exchanger chart of Figure 4.9-4 4th edition or Figure 16.2-1 of the 5th edition of the class text to estimate the log mean temperature difference correction Factor, FT)
8:59
gas flow
(a)
gas flow
(b)
:
Figure 16.1-3. Flow patterns of cross-flow heat exchangers: (a) one fluid mixed
(gas) and one fluid unmixed; (b) both fluids unmixed.
Discussions of other types of specialized heat-transfer equipment will
be deferred to Section 15.8. The remainder of this section deals primarily
with shell-and-tube and cross-flow heat exchangers.
16.2 Log-Mean-Temperature-Difference
Correction Factors
In Section 13.2B it was shown that when the hot and cold fluids in a heat
exchanger are in true countercurrent flow or in cocurrent (parallel) flow,
the log mean temperature difference should be used:
AT Im
AT-AT
In (AT/AT)
(16.2-1)
where AT2 is the temperature difference at one end of the exchanger and
AT1 at the other end. This AT1m holds for a double-pipe heat exchanger
and a 1-1 exchanger with one shell pass and one tube pass in parallel or
counterflow.
In cases where a multiple-pass heat exchanger is involved, it is
necessary to obtain a different expression for the mean temperature
difference, depending on the arrangement of the shell and tube passes.
Considering first the one-shell-pass, two-tube-pass exchanger in Fig. 16.1-
671
Transcribed Image Text:8:59 gas flow (a) gas flow (b) : Figure 16.1-3. Flow patterns of cross-flow heat exchangers: (a) one fluid mixed (gas) and one fluid unmixed; (b) both fluids unmixed. Discussions of other types of specialized heat-transfer equipment will be deferred to Section 15.8. The remainder of this section deals primarily with shell-and-tube and cross-flow heat exchangers. 16.2 Log-Mean-Temperature-Difference Correction Factors In Section 13.2B it was shown that when the hot and cold fluids in a heat exchanger are in true countercurrent flow or in cocurrent (parallel) flow, the log mean temperature difference should be used: AT Im AT-AT In (AT/AT) (16.2-1) where AT2 is the temperature difference at one end of the exchanger and AT1 at the other end. This AT1m holds for a double-pipe heat exchanger and a 1-1 exchanger with one shell pass and one tube pass in parallel or counterflow. In cases where a multiple-pass heat exchanger is involved, it is necessary to obtain a different expression for the mean temperature difference, depending on the arrangement of the shell and tube passes. Considering first the one-shell-pass, two-tube-pass exchanger in Fig. 16.1- 671
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