Help needed with heat exchanger question Effectiveness relations for heat exchangers: NTU = UA/Cminand C = Cmin/Cmax = (mC,)min/(ṁCplmaxHeat exchangertype1 Double pipe:NTU relations for heat exchangers NTU = UA/ Cminand C = Cmin/CmaxHeat exchanger type1 Double-pipe:= (mCp)min/(mC,)maxEffectiveness relation||NTU relation1- exp [-NTU(1 + C)]1+ CParallel-flowIn[1- e(1 + C)]1+ CNTU = -1- exp [-NTU(1 - C)]1 - Cexp [-NTU(1 - C)]Parallel-flowCounter-flowE =1-2 Shell and tube:Counter-flowNTU-InOne-shell passC- 1€С - 1-11+ exp [-NTUV1 + C®]1 - Cexp [-NTUV1 + C]2, 4, . . . tubeC+ V1 + C2.2 Shell and tube:passes2/ɛ - 1-C- V1 + C2One-shell pass2, 4, . . . tube passes1|Vnle - 1 – C + V1+ C²,3 Cross-flowNTU =+ C?2/8 -1-C+ V1 + C²,(single-pass)Both fluidsNTU0 223 Cross-flow (single-pass)ɛ = 1- exp:-[exp (-CNTUO.78) -CIn(1 – ɛC)Cmax mixed,Cmin unmixedunmixed|NTU = -In 1+CCmax mixed,Cmin unmixed==(1 - exp(1-C[1 – exp (-NTU)]})ECmin mixed,Cmax unmixedNTU = - InCIn(1 – ɛ) + 1]C|Cmin mixed,Cmax unmixede = 1- expexp (-CNTU)]4 All heat exchangers4 All heatNTU = -In(1 - 8)with C = 0exchangerswith C = 0e = 1- exp(-NTU)Source: Kays and London, Ref. 7.Source: Kays and London, Ref. 7. As a thermo-fluid engineer working for an energy startup located at Greentown Labs, you are tasked tocharacterize the performance of a heat exchanger that will be used in the Arctic Region to heat cold water(Cp=4180 J/kg °C) with a wvind-power-heated hot gas (c,=2100 J/kg·°C). Cold water enters the inner tubeof a double-pipe parallel flow heat exchanger at 4°C at a rate of 1.2 kg/s. The mass flow rate and the inlettemperature of hot gas is 2.3 kg/s and 52°C, respectively. If the inner tube has a diameter of 5 cm with 8m length and the overall heat transfer coefficient of the heat exchanger is 950 W/m2.°C, determine theoutlet temperature of cold water in °C. If needed, use efficiency-NTU equations given below NOT thefigures!!!

Given Inlet temperature of hot gas, Ti = 52oC Inlet temperature of cold water, T1 = 4oC…

As a thermo-fluid engineer working for an energy startup located at Greentown Labs, you are tasked to characterize the performance of a heat exchanger that will be used in the Arctic Region to heat cold water (Cp=4180 J/kg °C) with a wind-power-heated hot gas (cp=2100 J/kg-°C). Cold water enters the inner tube of a double-pipe parallel flow heat exchanger at 4°C at a rate of 1.2 kg/s. The mass flow rate and the inlet temperature of hot gas is 2.3 kg/s and 52°C, respectively. If the inner tube has a diameter of 5 cm with 8 m length and the overall heat transfer coefficient of the heat exchanger is 950 W/m2.°C, determine the outlet temperature of cold water in °C. If needed, use efficiency-NTU equations given below NOT the figures!!!

As a thermo-fluid engineer working for an energy startup located at Greentown Labs, you are tasked to characterize the performance of a heat exchanger that will be used in the Arctic Region to heat cold water (Cp=4180 J/kg °C) with a wind-power-heated hot gas (cp=2100 J/kg-°C). Cold water enters the inner tube of a double-pipe parallel flow heat exchanger at 4°C at a rate of 1.2 kg/s. The mass flow rate and the inlet temperature of hot gas is 2.3 kg/s and 52°C, respectively. If the inner tube has a diameter of 5 cm with 8 m length and the overall heat transfer coefficient of the heat exchanger is 950 W/m2.°C, determine the outlet temperature of cold water in °C. If needed, use efficiency-NTU equations given below NOT the figures!!!

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Heat Exchangers

Heat exchangers are the types of equipment that are primarily employed to transfer the thermal energy from one fluid to another, provided that one of the fluids should be at a higher thermal energy content than the other fluid.

Heat Exchanger

The heat exchanger is a combination of two words ''Heat'' and ''Exchanger''. It is a mechanical device that is used to exchange heat energy between two fluids.

Question

Help needed with heat exchanger question

Effectiveness relations for heat exchangers: NTU = UA/Cmin
and C = Cmin/Cmax = (mC,)min/(ṁCplmax
Heat exchanger
type
1 Double pipe:
NTU relations for heat exchangers NTU = UA/ Cmin
and C = Cmin/Cmax
Heat exchanger type
1 Double-pipe:
= (mCp)min/(mC,)max
Effectiveness relation
||
NTU relation
1- exp [-NTU(1 + C)]
1+ C
Parallel-flow
In[1- e(1 + C)]
1+ C
NTU = -
1- exp [-NTU(1 - C)]
1 - Cexp [-NTU(1 - C)]
Parallel-flow
Counter-flow
E =
1
-
2 Shell and tube:
Counter-flow
NTU
-In
One-shell pass
C- 1
€С - 1
-1
1+ exp [-NTUV1 + C®]
1 - Cexp [-NTUV1 + C]
2, 4, . . . tube
C+ V1 + C2.
2 Shell and tube:
passes
2/ɛ - 1-C- V1 + C2
One-shell pass
2, 4, . . . tube passes
1
|
Vnle - 1 – C + V1+ C²,
3 Cross-flow
NTU =
+ C?
2/8 -1-C+ V1 + C²,
(single-pass)
Both fluids
NTU0 22
3 Cross-flow (single-pass)
ɛ = 1- exp:
-[exp (-CNTUO.78) -
C
In(1 – ɛC)
Cmax mixed,
Cmin unmixed
unmixed
|
NTU = -In 1+
C
Cmax mixed,
Cmin unmixed
==(1 - exp(1-C[1 – exp (-NTU)]})
E
Cmin mixed,
Cmax unmixed
NTU = - InCIn(1 – ɛ) + 1]
C
|
Cmin mixed,
Cmax unmixed
e = 1- exp
exp (-CNTU)]
4 All heat exchangers
4 All heat
NTU = -In(1 - 8)
with C = 0
exchangers
with C = 0
e = 1- exp(-NTU)
Source: Kays and London, Ref. 7.
Source: Kays and London, Ref. 7.

As a thermo-fluid engineer working for an energy startup located at Greentown Labs, you are tasked to
characterize the performance of a heat exchanger that will be used in the Arctic Region to heat cold water
(Cp=4180 J/kg °C) with a wvind-power-heated hot gas (c,=2100 J/kg·°C). Cold water enters the inner tube
of a double-pipe parallel flow heat exchanger at 4°C at a rate of 1.2 kg/s. The mass flow rate and the inlet
temperature of hot gas is 2.3 kg/s and 52°C, respectively. If the inner tube has a diameter of 5 cm with 8
m length and the overall heat transfer coefficient of the heat exchanger is 950 W/m2.°C, determine the
outlet temperature of cold water in °C. If needed, use efficiency-NTU equations given below NOT the
figures!!!

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