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
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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)
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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