A feed-water heater that supplies a boiler consists of a shell-and-tube heat exchanger with one shell pass and two tube passes. One hundred thin-walled tubes each have a diameter of 20 mm and a length (per pass) of 2 m. Under normal operating conditions water enters the tubes at 10 kg/s and 290 K and is heated by condensing saturated steam at 1 atm on the outer surface of the tubes. The convection coefficient of the saturated steam is 10,000 W/m² K. Please use NTU method to determine the water outlet temperature. Hint: (1) please use the Dittus-Boelter correlation to determine the internal convection coefficient h;: (2) Assuming thin wall tubes and ignore the conduction resistance of the tube walls: (3) Please use Table A.6 to obtain all thermo-physical properties; (4) based on Table 11.3, choose an appropriate equation to obtain ɛ from NTU.
A feed-water heater that supplies a boiler consists of a shell-and-tube heat exchanger with one shell pass and two tube passes. One hundred thin-walled tubes each have a diameter of 20 mm and a length (per pass) of 2 m. Under normal operating conditions water enters the tubes at 10 kg/s and 290 K and is heated by condensing saturated steam at 1 atm on the outer surface of the tubes. The convection coefficient of the saturated steam is 10,000 W/m² K. Please use NTU method to determine the water outlet temperature. Hint: (1) please use the Dittus-Boelter correlation to determine the internal convection coefficient h;: (2) Assuming thin wall tubes and ignore the conduction resistance of the tube walls: (3) Please use Table A.6 to obtain all thermo-physical properties; (4) based on Table 11.3, choose an appropriate equation to obtain ɛ from NTU.
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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![Problem #4
A feed-water heater that supplies a boiler consists of a shell-and-tube heat exchanger with one
shell pass and two tube passes. One hundred thin-walled tubes each have a diameter of 20 mm
and a length (per pass) of 2 m. Under normal operating conditions water enters the tubes at 10
kg/s and 290 K and is heated by condensing saturated steam at 1 atm on the outer surface of the
tubes. The convection coefficient of the saturated steam is 10,000 W/m² · K.
Please use NTU method to determine the water outlet temperature.
Hint: (1) please use the Dittus-Boelter correlation to determine the internal convection coefficient
h;: (2) Assuming thin wall tubes and ignore the conduction resistance of the tube walls; (3) Please
use Table A.6 to obtain all thermo-physical properties; (4) based on Table 11.3, choose an
appropriate equation to obtain ɛ from NTU.
TABLE 11.3 Heat Exchanger Effectiveness Relations [5]
Flow Arrangement
Relation
exp[-NTU(1 + C,)I
Parallel ow
(11.28a)
T+C,
1- exp[-NTU(I – C)]
1-C,exp[-NTU(1 – C,))
Counterow
(C,< I)
NTU
1+ NTU
(C, = 1)
(11.29a)
Shell-and-tube
-21+C, +(1 + c3y= x-
I+ exp[-(NTU),(1 + C;)\ª]
1- exp[-(NTU),(1 + C;)\^] ]
One shell pass (2, 4, ... tube passes)
(11.30a)
n shell pases (2, 4n. ube asses) - - -c
(11.3la)
Cross-ow (single pass)
- exp
)(NTU)^ {exp[-C{NTU)®] – 1
Both fluids unmixed
(11.32)
Ca (mixed), Can (unmixed)
exp{-C,[I – exp(-NTU)]})
(11.33a)
E=1- exp(-C,'{1 – exp[-C{NTU)]})
E=1- exp(-NTU)
Cn (mixed), Ca (unmixed)
(11.34a)
All exchangers (C, = 0)
(11.35a)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02152486-4b3e-4971-933f-7bbbd61f61b8%2Fb7721f4b-e521-473c-8c2c-a866b0a58667%2Fnd36eej_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem #4
A feed-water heater that supplies a boiler consists of a shell-and-tube heat exchanger with one
shell pass and two tube passes. One hundred thin-walled tubes each have a diameter of 20 mm
and a length (per pass) of 2 m. Under normal operating conditions water enters the tubes at 10
kg/s and 290 K and is heated by condensing saturated steam at 1 atm on the outer surface of the
tubes. The convection coefficient of the saturated steam is 10,000 W/m² · K.
Please use NTU method to determine the water outlet temperature.
Hint: (1) please use the Dittus-Boelter correlation to determine the internal convection coefficient
h;: (2) Assuming thin wall tubes and ignore the conduction resistance of the tube walls; (3) Please
use Table A.6 to obtain all thermo-physical properties; (4) based on Table 11.3, choose an
appropriate equation to obtain ɛ from NTU.
TABLE 11.3 Heat Exchanger Effectiveness Relations [5]
Flow Arrangement
Relation
exp[-NTU(1 + C,)I
Parallel ow
(11.28a)
T+C,
1- exp[-NTU(I – C)]
1-C,exp[-NTU(1 – C,))
Counterow
(C,< I)
NTU
1+ NTU
(C, = 1)
(11.29a)
Shell-and-tube
-21+C, +(1 + c3y= x-
I+ exp[-(NTU),(1 + C;)\ª]
1- exp[-(NTU),(1 + C;)\^] ]
One shell pass (2, 4, ... tube passes)
(11.30a)
n shell pases (2, 4n. ube asses) - - -c
(11.3la)
Cross-ow (single pass)
- exp
)(NTU)^ {exp[-C{NTU)®] – 1
Both fluids unmixed
(11.32)
Ca (mixed), Can (unmixed)
exp{-C,[I – exp(-NTU)]})
(11.33a)
E=1- exp(-C,'{1 – exp[-C{NTU)]})
E=1- exp(-NTU)
Cn (mixed), Ca (unmixed)
(11.34a)
All exchangers (C, = 0)
(11.35a)
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