SlideShare a Scribd company logo
NURUL AFIFAH BINTI MOHD YUSOFF
2013275464
EH110 4A
FACULTY OF CHEMICAL ENGINEERING
The Log Mean Temperature
Difference Method (LMTD)
 The Logarithmic Mean Temperature Difference(LMTD) is
valid only for heat exchanger with one shell pass and one
tube pass.
 For multiple number of shell and tube passes the flow
pattern in a heat exchanger is neither purely co-current nor
purely counter-current.
 The temperature difference between the hot and cold fluids varies
along the heat exchanger.
 It is convenient to have a mean temperature difference Tm for use
in the relation.
s mQ UA T 
 The mean temperature difference in a heat transfer
process depends on the direction of fluid flows involved
in the process. The primary and secondary fluid in an
heat exchanger process may
 flow in the same direction - parallel flow or cocurrent
flow
 in the opposite direction - countercurrent flow or
perpendicular to each other - cross flow










1
2
12
ln
T
T
TT
TLn
Co-current flow
∆ T1
∆ T2
∆ A
A
1 2 T 1 T 2
T 4 T 5
T 6T 3
T 7
T 8 T 9
T 10
P ara ll e l Fl ow
731 TTTTT in
c
in
h 
1062 TTTTT out
c
out
h 
Counter-current flow
T1
A
1 2
T2
T3
T6
T4 T6
T7
T8
T9
T10
Wall
T 1
T 2
T 4 T 5
T 3
T 7 T 8 T 9
T 10
T 6
Co un t e r - C u r re n t F l ow
731 TTTTT out
c
in
h 
1062 TTTTT in
c
out
h 
LMTD Counter-Flow HX
icohch
ocihch
LMLM
TTTTT
TTTTT
TT
TT
TTUAQ
,,2,2,2
,,1,1,1
)12
12
:FlowCounterforWhere
/ln(





Tlm,CF > Tlm,PF FOR SAME U: ACF < APF
LMTD- Multi-Pass and Cross-Flow
 Apply a correction factor to obtain LMTD
CFLMLMLM TFTTUAQ ,
t: Tube Side
LMTD Parallel-Flow HX
ocohch
icihch
LMLM
TTTTT
TTTTT
TT
TT
TTUAQ
,,2,2,2
,,1,1,1
)12
12
:FlowParallelforWhere
/ln(





In a multi-pass exchanger, in addition to frictional loss the head
loss known as return loss has to be taken into account.
The pressure drop owing to the return loss is given by-
Where,
n=the number of tube passes
V=linear velocity of the tube fluid
The total tube-side pressure drop is
∆PT = ∆Pt + ∆Pr
THE EFFECTIVENESS-NTU METHOD
 LMTD method is useful for determining the overall heat
transfer coefficient U based on experimental values of the
inlet and outlet temperatures and the fluid flow rates.
 A more convenient method for predicting the outlet
temperatures is the effectiveness NTU method.
 This method can be derived from the LMTD method
without introducing any additional assumptions.
 Therefore, the effectiveness-NTU and LMTD methods are
equivalent.
 An advantage of the effectiveness-NTU method is its ability
to predict the outlet temperatures without resorting to a
numerical iterative solution of a system of nonlinear
equations. The heat-exchanger effectiveness ε is defined as
• Heat exchanger effectiveness, :
max
q
q
 
0 1 
• Maximum possible heat rate:
 max min , ,h i c iq C T T 
min
if
or
h h cC C C
C

 

 Will the fluid characterized by Cmin or Cmax experience the largest possible
temperature change in transit through the HX?
 Why is Cmin and not Cmax used in the definition of qmax?
• Number of Transfer Units, NTU
min
UANTU
C

 A dimensionless parameter whose magnitude influences HX performance:
withq NTU 
Heat Exchanger Relations
 
 
, ,
, ,
h i h oh
h h i h o
q m i i
or
q C T T

 

  

•
 
 
, ,
, ,
c c o c i
c c o c i
q m i i
or
q C T T

 

  

 min , ,h i c iq C T T 
• Performance Calculations:
  min max, /f NTU C C 
Cr
Relations Table 11.3 or Figs. 11.14 - 11.19
• Design Calculations:
  min max, /NTU f C C
 Relations Table 11.4 or Figs. 11.14 - 11.19
• For all heat exchangers,
with rC  
• For Cr = 0, to all HX types.a single relation appliesNTU 
 1 exp NTU   
 
or
1n 1NTU   
References
 http://www.engineeringtoolbox.com/arithmetic-logarithmic-
mean-temperature-d_436.html
 http://www-old.me.gatech.edu/energy/laura/node5.html
 http://www.che.ufl.edu/unit-ops-lab/experiments/HE/HE-
theory.pdf
 http://web.iitd.ac.in/~prabal/MEL242/(30-31)-Heat-exchanger-
part-2.pdf

More Related Content

What's hot

Heat Exchangers
Heat ExchangersHeat Exchangers
Heat Exchangers
mohkab1
 
Heat Exchanger
Heat ExchangerHeat Exchanger
Heat Exchanger
Mahmudul Hasan
 
Ht 5 pool boiling curve
Ht 5 pool boiling curveHt 5 pool boiling curve
Ht 5 pool boiling curve
Katharotiya jay
 
Forced convection
Forced convectionForced convection
Forced convection
vishnu5211931
 
heat transfer through fins
heat transfer through finsheat transfer through fins
heat transfer through fins
prasantjangir
 
Heat conduction through a plane wall
Heat conduction through a plane wallHeat conduction through a plane wall
Heat conduction through a plane wall
Manipal Academy of Higher Education (MAHE)
 
Presentation on Filmwise and Dropwise Condensation
Presentation on  Filmwise and Dropwise CondensationPresentation on  Filmwise and Dropwise Condensation
Presentation on Filmwise and Dropwise Condensation
Krishna Khandelwal
 
Distillation Column
Distillation ColumnDistillation Column
Distillation Column
Khalid Nawaz
 
Boiling heat transfer
Boiling heat transfer Boiling heat transfer
Boiling heat transfer
wisdomvalley
 
Forced convection
Forced convectionForced convection
Forced convection
msg15
 
Dimensionless number
Dimensionless numberDimensionless number
Dimensionless number
anwesakar
 
One-dimensional conduction-with_no_heat_generation
One-dimensional conduction-with_no_heat_generationOne-dimensional conduction-with_no_heat_generation
One-dimensional conduction-with_no_heat_generation
tmuliya
 
Mass transfer operations
Mass transfer operationsMass transfer operations
Mass transfer operations
Jagdeesh Shukla
 
PROPERTIES OF PURE SUBSTANCES
PROPERTIES OF PURE SUBSTANCESPROPERTIES OF PURE SUBSTANCES
PROPERTIES OF PURE SUBSTANCES
naphis ahamad
 
Boiling and condensation
Boiling and condensationBoiling and condensation
Boiling and condensation
Vijay G
 
2.4 Plate efficiencies
2.4 Plate efficiencies2.4 Plate efficiencies
Heat conduction equation
Heat conduction equationHeat conduction equation
Heat conduction equation
Chandresh Suthar
 
Transient heat-conduction-Part-I
Transient heat-conduction-Part-ITransient heat-conduction-Part-I
Transient heat-conduction-Part-I
tmuliya
 
Heat transfer chapter one and two
Heat transfer chapter one and twoHeat transfer chapter one and two
Heat transfer chapter one and two
Debre Markos University
 
Heat Exchangers
Heat ExchangersHeat Exchangers
Heat Exchangers
NAVEEN KUMAR
 

What's hot (20)

Heat Exchangers
Heat ExchangersHeat Exchangers
Heat Exchangers
 
Heat Exchanger
Heat ExchangerHeat Exchanger
Heat Exchanger
 
Ht 5 pool boiling curve
Ht 5 pool boiling curveHt 5 pool boiling curve
Ht 5 pool boiling curve
 
Forced convection
Forced convectionForced convection
Forced convection
 
heat transfer through fins
heat transfer through finsheat transfer through fins
heat transfer through fins
 
Heat conduction through a plane wall
Heat conduction through a plane wallHeat conduction through a plane wall
Heat conduction through a plane wall
 
Presentation on Filmwise and Dropwise Condensation
Presentation on  Filmwise and Dropwise CondensationPresentation on  Filmwise and Dropwise Condensation
Presentation on Filmwise and Dropwise Condensation
 
Distillation Column
Distillation ColumnDistillation Column
Distillation Column
 
Boiling heat transfer
Boiling heat transfer Boiling heat transfer
Boiling heat transfer
 
Forced convection
Forced convectionForced convection
Forced convection
 
Dimensionless number
Dimensionless numberDimensionless number
Dimensionless number
 
One-dimensional conduction-with_no_heat_generation
One-dimensional conduction-with_no_heat_generationOne-dimensional conduction-with_no_heat_generation
One-dimensional conduction-with_no_heat_generation
 
Mass transfer operations
Mass transfer operationsMass transfer operations
Mass transfer operations
 
PROPERTIES OF PURE SUBSTANCES
PROPERTIES OF PURE SUBSTANCESPROPERTIES OF PURE SUBSTANCES
PROPERTIES OF PURE SUBSTANCES
 
Boiling and condensation
Boiling and condensationBoiling and condensation
Boiling and condensation
 
2.4 Plate efficiencies
2.4 Plate efficiencies2.4 Plate efficiencies
2.4 Plate efficiencies
 
Heat conduction equation
Heat conduction equationHeat conduction equation
Heat conduction equation
 
Transient heat-conduction-Part-I
Transient heat-conduction-Part-ITransient heat-conduction-Part-I
Transient heat-conduction-Part-I
 
Heat transfer chapter one and two
Heat transfer chapter one and twoHeat transfer chapter one and two
Heat transfer chapter one and two
 
Heat Exchangers
Heat ExchangersHeat Exchangers
Heat Exchangers
 

Viewers also liked

Shell and Tube Heat Exchangers, LMTD, Extended Surface Heat Exchangers.
Shell and Tube Heat Exchangers, LMTD, Extended Surface Heat Exchangers.Shell and Tube Heat Exchangers, LMTD, Extended Surface Heat Exchangers.
Shell and Tube Heat Exchangers, LMTD, Extended Surface Heat Exchangers.
Vishvaraj Chauhan
 
analysis of heat exchanger by LMTD method
analysis of heat exchanger by LMTD methodanalysis of heat exchanger by LMTD method
analysis of heat exchanger by LMTD method
BABARIA INSTITUTE OF TECHNOLOGY,VARNAMA,VADODARA 005
 
Heat Exchangers
Heat ExchangersHeat Exchangers
Heat Exchangers
SABIC
 
HEAT EXCHANGERS
HEAT EXCHANGERSHEAT EXCHANGERS
HEAT EXCHANGERS
Akshay Kumar Mishra
 
Heat exchangers and types
Heat exchangers and typesHeat exchangers and types
Heat exchangers and types
Gopesh Chilveri
 
Heat transfer efficiency
 Heat transfer efficiency Heat transfer efficiency
Heat transfer efficiency
AcidBurntrm
 
Compact Heat Exchangers
Compact Heat ExchangersCompact Heat Exchangers
Compact Heat Exchangers
adlinilda
 
Modul Penyelesaian Soal Alat Penukar Kalor
Modul Penyelesaian Soal Alat Penukar KalorModul Penyelesaian Soal Alat Penukar Kalor
Modul Penyelesaian Soal Alat Penukar Kalor
Ali Hasimi Pane
 
Heat exchangers
Heat exchangersHeat exchangers
Heat exchangers
Ammar Ashraf
 
Analysisofhxn 131116122723-phpapp01
Analysisofhxn 131116122723-phpapp01Analysisofhxn 131116122723-phpapp01
Analysisofhxn 131116122723-phpapp01
Akshay Mishra
 
Heat exchanger
Heat exchangerHeat exchanger
Heat exchanger
Amitesh Kumar
 
3A04 Heat Exchanger
3A04 Heat Exchanger3A04 Heat Exchanger
3A04 Heat Exchanger
Jesse Carreau
 
Heat exchanger present
Heat exchanger presentHeat exchanger present
Heat exchanger present
sat0169
 
Heat exchangers
Heat exchangers  Heat exchangers
Heat exchangers
Effah Effervescence
 
heat exchanger design formula Sheet
heat exchanger design formula Sheetheat exchanger design formula Sheet
heat exchanger design formula Sheet
Krishikesh Singh
 
Colleagues Brochure
Colleagues BrochureColleagues Brochure
Colleagues Brochure
Arnov Sett
 
How to Use Sim CFD (to your advantage): A Primer for Computational Fluid Dyna...
How to Use Sim CFD (to your advantage): A Primer for Computational Fluid Dyna...How to Use Sim CFD (to your advantage): A Primer for Computational Fluid Dyna...
How to Use Sim CFD (to your advantage): A Primer for Computational Fluid Dyna...
Synergis Engineering Design Solutions
 
Numerical Simulation of Hot Air Drying Kiln Velocity Field Based on Computati...
Numerical Simulation of Hot Air Drying Kiln Velocity Field Based on Computati...Numerical Simulation of Hot Air Drying Kiln Velocity Field Based on Computati...
Numerical Simulation of Hot Air Drying Kiln Velocity Field Based on Computati...
IJRES Journal
 
Plate Type Heat Exchanger Design
Plate Type Heat Exchanger DesignPlate Type Heat Exchanger Design
Plate Type Heat Exchanger Design
Resky Ervaldi Saputra
 
Selection of Heat Exchanger Types
Selection of Heat Exchanger TypesSelection of Heat Exchanger Types
Selection of Heat Exchanger Types
Gerard B. Hawkins
 

Viewers also liked (20)

Shell and Tube Heat Exchangers, LMTD, Extended Surface Heat Exchangers.
Shell and Tube Heat Exchangers, LMTD, Extended Surface Heat Exchangers.Shell and Tube Heat Exchangers, LMTD, Extended Surface Heat Exchangers.
Shell and Tube Heat Exchangers, LMTD, Extended Surface Heat Exchangers.
 
analysis of heat exchanger by LMTD method
analysis of heat exchanger by LMTD methodanalysis of heat exchanger by LMTD method
analysis of heat exchanger by LMTD method
 
Heat Exchangers
Heat ExchangersHeat Exchangers
Heat Exchangers
 
HEAT EXCHANGERS
HEAT EXCHANGERSHEAT EXCHANGERS
HEAT EXCHANGERS
 
Heat exchangers and types
Heat exchangers and typesHeat exchangers and types
Heat exchangers and types
 
Heat transfer efficiency
 Heat transfer efficiency Heat transfer efficiency
Heat transfer efficiency
 
Compact Heat Exchangers
Compact Heat ExchangersCompact Heat Exchangers
Compact Heat Exchangers
 
Modul Penyelesaian Soal Alat Penukar Kalor
Modul Penyelesaian Soal Alat Penukar KalorModul Penyelesaian Soal Alat Penukar Kalor
Modul Penyelesaian Soal Alat Penukar Kalor
 
Heat exchangers
Heat exchangersHeat exchangers
Heat exchangers
 
Analysisofhxn 131116122723-phpapp01
Analysisofhxn 131116122723-phpapp01Analysisofhxn 131116122723-phpapp01
Analysisofhxn 131116122723-phpapp01
 
Heat exchanger
Heat exchangerHeat exchanger
Heat exchanger
 
3A04 Heat Exchanger
3A04 Heat Exchanger3A04 Heat Exchanger
3A04 Heat Exchanger
 
Heat exchanger present
Heat exchanger presentHeat exchanger present
Heat exchanger present
 
Heat exchangers
Heat exchangers  Heat exchangers
Heat exchangers
 
heat exchanger design formula Sheet
heat exchanger design formula Sheetheat exchanger design formula Sheet
heat exchanger design formula Sheet
 
Colleagues Brochure
Colleagues BrochureColleagues Brochure
Colleagues Brochure
 
How to Use Sim CFD (to your advantage): A Primer for Computational Fluid Dyna...
How to Use Sim CFD (to your advantage): A Primer for Computational Fluid Dyna...How to Use Sim CFD (to your advantage): A Primer for Computational Fluid Dyna...
How to Use Sim CFD (to your advantage): A Primer for Computational Fluid Dyna...
 
Numerical Simulation of Hot Air Drying Kiln Velocity Field Based on Computati...
Numerical Simulation of Hot Air Drying Kiln Velocity Field Based on Computati...Numerical Simulation of Hot Air Drying Kiln Velocity Field Based on Computati...
Numerical Simulation of Hot Air Drying Kiln Velocity Field Based on Computati...
 
Plate Type Heat Exchanger Design
Plate Type Heat Exchanger DesignPlate Type Heat Exchanger Design
Plate Type Heat Exchanger Design
 
Selection of Heat Exchanger Types
Selection of Heat Exchanger TypesSelection of Heat Exchanger Types
Selection of Heat Exchanger Types
 

Similar to Summary of lmtd and e ntu

Heat Exchanger Analysis by NTU Method - Basics
Heat Exchanger Analysis by NTU Method - BasicsHeat Exchanger Analysis by NTU Method - Basics
Heat Exchanger Analysis by NTU Method - Basics
TyMechSeminar
 
008 internal force convection
008 internal force convection008 internal force convection
008 internal force convection
Saranyu Pilai
 
Heat exchanger effecctiveness
Heat exchanger effecctivenessHeat exchanger effecctiveness
Heat exchanger effecctiveness
Mohamed A. Hassan, CEng MIChemE
 
Heat exchanger
Heat exchangerHeat exchanger
Heat exchanger
jahangir sadiq
 
Heatexchangers 120419133732-phpapp02 (1)
Heatexchangers 120419133732-phpapp02 (1)Heatexchangers 120419133732-phpapp02 (1)
Heatexchangers 120419133732-phpapp02 (1)
asim ahsan
 
Etht grp 14(140080125021,22,23,24)
Etht grp 14(140080125021,22,23,24)Etht grp 14(140080125021,22,23,24)
Etht grp 14(140080125021,22,23,24)
Yash Dobariya
 
Heat exchangers
Heat exchangersHeat exchangers
Heat exchangers
Anupam Shukla
 
applications of the principles of heat transfer to design of heat exchangers
 applications of the principles of heat transfer to design of heat exchangers applications of the principles of heat transfer to design of heat exchangers
applications of the principles of heat transfer to design of heat exchangers
Kathiresan Nadar
 
heat exchanger
heat exchangerheat exchanger
heat exchanger
Huda Huseiny
 
types of heat exchangers.pdf
types of heat exchangers.pdftypes of heat exchangers.pdf
types of heat exchangers.pdf
hassanzain10
 
Chapter 8a
Chapter 8aChapter 8a
Chapter 8a
Maga Rajan
 
Chapt 6 forced heat convection (interanl flow) t
Chapt 6 forced heat convection (interanl flow) tChapt 6 forced heat convection (interanl flow) t
Chapt 6 forced heat convection (interanl flow) t
Debre Markos University
 
13085560 ice-lecture-2
13085560 ice-lecture-213085560 ice-lecture-2
13085560 ice-lecture-2
ljill16
 
volumetric properties.ppt
volumetric properties.pptvolumetric properties.ppt
volumetric properties.ppt
IyerVasundhara
 
2. Fluids 2.ppt
2. Fluids 2.ppt2. Fluids 2.ppt
2. Fluids 2.ppt
BlahBeleh
 
Effectiveness for Counterflow heat exchanger
Effectiveness for Counterflow heat exchangerEffectiveness for Counterflow heat exchanger
Effectiveness for Counterflow heat exchanger
Elesh Koshti
 
IFP pptx.pptx
IFP pptx.pptxIFP pptx.pptx
IFP pptx.pptx
KumarMurari5
 
Vikas
VikasVikas
HEAT EXCHANGERS.pptx
HEAT EXCHANGERS.pptxHEAT EXCHANGERS.pptx
HEAT EXCHANGERS.pptx
SkSharma749863
 
Heat 4e chap08_lecture
Heat 4e chap08_lectureHeat 4e chap08_lecture
Heat 4e chap08_lecture
Abdul Moiz Dota
 

Similar to Summary of lmtd and e ntu (20)

Heat Exchanger Analysis by NTU Method - Basics
Heat Exchanger Analysis by NTU Method - BasicsHeat Exchanger Analysis by NTU Method - Basics
Heat Exchanger Analysis by NTU Method - Basics
 
008 internal force convection
008 internal force convection008 internal force convection
008 internal force convection
 
Heat exchanger effecctiveness
Heat exchanger effecctivenessHeat exchanger effecctiveness
Heat exchanger effecctiveness
 
Heat exchanger
Heat exchangerHeat exchanger
Heat exchanger
 
Heatexchangers 120419133732-phpapp02 (1)
Heatexchangers 120419133732-phpapp02 (1)Heatexchangers 120419133732-phpapp02 (1)
Heatexchangers 120419133732-phpapp02 (1)
 
Etht grp 14(140080125021,22,23,24)
Etht grp 14(140080125021,22,23,24)Etht grp 14(140080125021,22,23,24)
Etht grp 14(140080125021,22,23,24)
 
Heat exchangers
Heat exchangersHeat exchangers
Heat exchangers
 
applications of the principles of heat transfer to design of heat exchangers
 applications of the principles of heat transfer to design of heat exchangers applications of the principles of heat transfer to design of heat exchangers
applications of the principles of heat transfer to design of heat exchangers
 
heat exchanger
heat exchangerheat exchanger
heat exchanger
 
types of heat exchangers.pdf
types of heat exchangers.pdftypes of heat exchangers.pdf
types of heat exchangers.pdf
 
Chapter 8a
Chapter 8aChapter 8a
Chapter 8a
 
Chapt 6 forced heat convection (interanl flow) t
Chapt 6 forced heat convection (interanl flow) tChapt 6 forced heat convection (interanl flow) t
Chapt 6 forced heat convection (interanl flow) t
 
13085560 ice-lecture-2
13085560 ice-lecture-213085560 ice-lecture-2
13085560 ice-lecture-2
 
volumetric properties.ppt
volumetric properties.pptvolumetric properties.ppt
volumetric properties.ppt
 
2. Fluids 2.ppt
2. Fluids 2.ppt2. Fluids 2.ppt
2. Fluids 2.ppt
 
Effectiveness for Counterflow heat exchanger
Effectiveness for Counterflow heat exchangerEffectiveness for Counterflow heat exchanger
Effectiveness for Counterflow heat exchanger
 
IFP pptx.pptx
IFP pptx.pptxIFP pptx.pptx
IFP pptx.pptx
 
Vikas
VikasVikas
Vikas
 
HEAT EXCHANGERS.pptx
HEAT EXCHANGERS.pptxHEAT EXCHANGERS.pptx
HEAT EXCHANGERS.pptx
 
Heat 4e chap08_lecture
Heat 4e chap08_lectureHeat 4e chap08_lecture
Heat 4e chap08_lecture
 

More from Effah Effervescence

Environmental Audit and Environmental Impact Assessment
Environmental Audit and Environmental Impact AssessmentEnvironmental Audit and Environmental Impact Assessment
Environmental Audit and Environmental Impact Assessment
Effah Effervescence
 
Palm Oil and Application - Physico chemical properties
Palm Oil and Application - Physico chemical properties Palm Oil and Application - Physico chemical properties
Palm Oil and Application - Physico chemical properties
Effah Effervescence
 
Palm oil methyl ester as diesel substitute
Palm oil methyl ester as diesel substitutePalm oil methyl ester as diesel substitute
Palm oil methyl ester as diesel substitute
Effah Effervescence
 
Palm oil milling process
Palm oil milling process Palm oil milling process
Palm oil milling process
Effah Effervescence
 
Biodiesel
Biodiesel Biodiesel
Fatty alcohol
Fatty alcoholFatty alcohol
Fatty alcohol
Effah Effervescence
 
Fatty Esters
Fatty EstersFatty Esters
Fatty Esters
Effah Effervescence
 
Basic oleochemical and its derivative
Basic oleochemical and its derivativeBasic oleochemical and its derivative
Basic oleochemical and its derivative
Effah Effervescence
 

More from Effah Effervescence (8)

Environmental Audit and Environmental Impact Assessment
Environmental Audit and Environmental Impact AssessmentEnvironmental Audit and Environmental Impact Assessment
Environmental Audit and Environmental Impact Assessment
 
Palm Oil and Application - Physico chemical properties
Palm Oil and Application - Physico chemical properties Palm Oil and Application - Physico chemical properties
Palm Oil and Application - Physico chemical properties
 
Palm oil methyl ester as diesel substitute
Palm oil methyl ester as diesel substitutePalm oil methyl ester as diesel substitute
Palm oil methyl ester as diesel substitute
 
Palm oil milling process
Palm oil milling process Palm oil milling process
Palm oil milling process
 
Biodiesel
Biodiesel Biodiesel
Biodiesel
 
Fatty alcohol
Fatty alcoholFatty alcohol
Fatty alcohol
 
Fatty Esters
Fatty EstersFatty Esters
Fatty Esters
 
Basic oleochemical and its derivative
Basic oleochemical and its derivativeBasic oleochemical and its derivative
Basic oleochemical and its derivative
 

Recently uploaded

Generative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of contentGenerative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of content
Hitesh Mohapatra
 
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
zwunae
 
原版制作(unimelb毕业证书)墨尔本大学毕业证Offer一模一样
原版制作(unimelb毕业证书)墨尔本大学毕业证Offer一模一样原版制作(unimelb毕业证书)墨尔本大学毕业证Offer一模一样
原版制作(unimelb毕业证书)墨尔本大学毕业证Offer一模一样
obonagu
 
RAT: Retrieval Augmented Thoughts Elicit Context-Aware Reasoning in Long-Hori...
RAT: Retrieval Augmented Thoughts Elicit Context-Aware Reasoning in Long-Hori...RAT: Retrieval Augmented Thoughts Elicit Context-Aware Reasoning in Long-Hori...
RAT: Retrieval Augmented Thoughts Elicit Context-Aware Reasoning in Long-Hori...
thanhdowork
 
14 Template Contractual Notice - EOT Application
14 Template Contractual Notice - EOT Application14 Template Contractual Notice - EOT Application
14 Template Contractual Notice - EOT Application
SyedAbiiAzazi1
 
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECTCHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
jpsjournal1
 
Self-Control of Emotions by Slidesgo.pptx
Self-Control of Emotions by Slidesgo.pptxSelf-Control of Emotions by Slidesgo.pptx
Self-Control of Emotions by Slidesgo.pptx
iemerc2024
 
Exception Handling notes in java exception
Exception Handling notes in java exceptionException Handling notes in java exception
Exception Handling notes in java exception
Ratnakar Mikkili
 
[JPP-1] - (JEE 3.0) - Kinematics 1D - 14th May..pdf
[JPP-1] - (JEE 3.0) - Kinematics 1D - 14th May..pdf[JPP-1] - (JEE 3.0) - Kinematics 1D - 14th May..pdf
[JPP-1] - (JEE 3.0) - Kinematics 1D - 14th May..pdf
awadeshbabu
 
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.pptPROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
bhadouriyakaku
 
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressionsKuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
Victor Morales
 
spirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptxspirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptx
Madan Karki
 
Adaptive synchronous sliding control for a robot manipulator based on neural ...
Adaptive synchronous sliding control for a robot manipulator based on neural ...Adaptive synchronous sliding control for a robot manipulator based on neural ...
Adaptive synchronous sliding control for a robot manipulator based on neural ...
IJECEIAES
 
Understanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine LearningUnderstanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine Learning
SUTEJAS
 
5214-1693458878915-Unit 6 2023 to 2024 academic year assignment (AutoRecovere...
5214-1693458878915-Unit 6 2023 to 2024 academic year assignment (AutoRecovere...5214-1693458878915-Unit 6 2023 to 2024 academic year assignment (AutoRecovere...
5214-1693458878915-Unit 6 2023 to 2024 academic year assignment (AutoRecovere...
ihlasbinance2003
 
introduction to solar energy for engineering.pdf
introduction to solar energy for engineering.pdfintroduction to solar energy for engineering.pdf
introduction to solar energy for engineering.pdf
ravindarpurohit26
 
6th International Conference on Machine Learning & Applications (CMLA 2024)
6th International Conference on Machine Learning & Applications (CMLA 2024)6th International Conference on Machine Learning & Applications (CMLA 2024)
6th International Conference on Machine Learning & Applications (CMLA 2024)
ClaraZara1
 
Hierarchical Digital Twin of a Naval Power System
Hierarchical Digital Twin of a Naval Power SystemHierarchical Digital Twin of a Naval Power System
Hierarchical Digital Twin of a Naval Power System
Kerry Sado
 
Technical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prismsTechnical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prisms
heavyhaig
 
Literature Review Basics and Understanding Reference Management.pptx
Literature Review Basics and Understanding Reference Management.pptxLiterature Review Basics and Understanding Reference Management.pptx
Literature Review Basics and Understanding Reference Management.pptx
Dr Ramhari Poudyal
 

Recently uploaded (20)

Generative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of contentGenerative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of content
 
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
 
原版制作(unimelb毕业证书)墨尔本大学毕业证Offer一模一样
原版制作(unimelb毕业证书)墨尔本大学毕业证Offer一模一样原版制作(unimelb毕业证书)墨尔本大学毕业证Offer一模一样
原版制作(unimelb毕业证书)墨尔本大学毕业证Offer一模一样
 
RAT: Retrieval Augmented Thoughts Elicit Context-Aware Reasoning in Long-Hori...
RAT: Retrieval Augmented Thoughts Elicit Context-Aware Reasoning in Long-Hori...RAT: Retrieval Augmented Thoughts Elicit Context-Aware Reasoning in Long-Hori...
RAT: Retrieval Augmented Thoughts Elicit Context-Aware Reasoning in Long-Hori...
 
14 Template Contractual Notice - EOT Application
14 Template Contractual Notice - EOT Application14 Template Contractual Notice - EOT Application
14 Template Contractual Notice - EOT Application
 
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECTCHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
 
Self-Control of Emotions by Slidesgo.pptx
Self-Control of Emotions by Slidesgo.pptxSelf-Control of Emotions by Slidesgo.pptx
Self-Control of Emotions by Slidesgo.pptx
 
Exception Handling notes in java exception
Exception Handling notes in java exceptionException Handling notes in java exception
Exception Handling notes in java exception
 
[JPP-1] - (JEE 3.0) - Kinematics 1D - 14th May..pdf
[JPP-1] - (JEE 3.0) - Kinematics 1D - 14th May..pdf[JPP-1] - (JEE 3.0) - Kinematics 1D - 14th May..pdf
[JPP-1] - (JEE 3.0) - Kinematics 1D - 14th May..pdf
 
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.pptPROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
 
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressionsKuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
 
spirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptxspirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptx
 
Adaptive synchronous sliding control for a robot manipulator based on neural ...
Adaptive synchronous sliding control for a robot manipulator based on neural ...Adaptive synchronous sliding control for a robot manipulator based on neural ...
Adaptive synchronous sliding control for a robot manipulator based on neural ...
 
Understanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine LearningUnderstanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine Learning
 
5214-1693458878915-Unit 6 2023 to 2024 academic year assignment (AutoRecovere...
5214-1693458878915-Unit 6 2023 to 2024 academic year assignment (AutoRecovere...5214-1693458878915-Unit 6 2023 to 2024 academic year assignment (AutoRecovere...
5214-1693458878915-Unit 6 2023 to 2024 academic year assignment (AutoRecovere...
 
introduction to solar energy for engineering.pdf
introduction to solar energy for engineering.pdfintroduction to solar energy for engineering.pdf
introduction to solar energy for engineering.pdf
 
6th International Conference on Machine Learning & Applications (CMLA 2024)
6th International Conference on Machine Learning & Applications (CMLA 2024)6th International Conference on Machine Learning & Applications (CMLA 2024)
6th International Conference on Machine Learning & Applications (CMLA 2024)
 
Hierarchical Digital Twin of a Naval Power System
Hierarchical Digital Twin of a Naval Power SystemHierarchical Digital Twin of a Naval Power System
Hierarchical Digital Twin of a Naval Power System
 
Technical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prismsTechnical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prisms
 
Literature Review Basics and Understanding Reference Management.pptx
Literature Review Basics and Understanding Reference Management.pptxLiterature Review Basics and Understanding Reference Management.pptx
Literature Review Basics and Understanding Reference Management.pptx
 

Summary of lmtd and e ntu

  • 1. NURUL AFIFAH BINTI MOHD YUSOFF 2013275464 EH110 4A FACULTY OF CHEMICAL ENGINEERING
  • 2. The Log Mean Temperature Difference Method (LMTD)  The Logarithmic Mean Temperature Difference(LMTD) is valid only for heat exchanger with one shell pass and one tube pass.  For multiple number of shell and tube passes the flow pattern in a heat exchanger is neither purely co-current nor purely counter-current.  The temperature difference between the hot and cold fluids varies along the heat exchanger.  It is convenient to have a mean temperature difference Tm for use in the relation. s mQ UA T 
  • 3.  The mean temperature difference in a heat transfer process depends on the direction of fluid flows involved in the process. The primary and secondary fluid in an heat exchanger process may  flow in the same direction - parallel flow or cocurrent flow  in the opposite direction - countercurrent flow or perpendicular to each other - cross flow
  • 4.
  • 5.           1 2 12 ln T T TT TLn Co-current flow ∆ T1 ∆ T2 ∆ A A 1 2 T 1 T 2 T 4 T 5 T 6T 3 T 7 T 8 T 9 T 10 P ara ll e l Fl ow 731 TTTTT in c in h  1062 TTTTT out c out h 
  • 6. Counter-current flow T1 A 1 2 T2 T3 T6 T4 T6 T7 T8 T9 T10 Wall T 1 T 2 T 4 T 5 T 3 T 7 T 8 T 9 T 10 T 6 Co un t e r - C u r re n t F l ow 731 TTTTT out c in h  1062 TTTTT in c out h 
  • 8. LMTD- Multi-Pass and Cross-Flow  Apply a correction factor to obtain LMTD CFLMLMLM TFTTUAQ , t: Tube Side
  • 10. In a multi-pass exchanger, in addition to frictional loss the head loss known as return loss has to be taken into account. The pressure drop owing to the return loss is given by- Where, n=the number of tube passes V=linear velocity of the tube fluid The total tube-side pressure drop is ∆PT = ∆Pt + ∆Pr
  • 11.
  • 12.
  • 13. THE EFFECTIVENESS-NTU METHOD  LMTD method is useful for determining the overall heat transfer coefficient U based on experimental values of the inlet and outlet temperatures and the fluid flow rates.  A more convenient method for predicting the outlet temperatures is the effectiveness NTU method.  This method can be derived from the LMTD method without introducing any additional assumptions.  Therefore, the effectiveness-NTU and LMTD methods are equivalent.  An advantage of the effectiveness-NTU method is its ability to predict the outlet temperatures without resorting to a numerical iterative solution of a system of nonlinear equations. The heat-exchanger effectiveness ε is defined as
  • 14. • Heat exchanger effectiveness, : max q q   0 1  • Maximum possible heat rate:  max min , ,h i c iq C T T  min if or h h cC C C C      Will the fluid characterized by Cmin or Cmax experience the largest possible temperature change in transit through the HX?  Why is Cmin and not Cmax used in the definition of qmax?
  • 15. • Number of Transfer Units, NTU min UANTU C   A dimensionless parameter whose magnitude influences HX performance: withq NTU 
  • 16. Heat Exchanger Relations     , , , , h i h oh h h i h o q m i i or q C T T         •     , , , , c c o c i c c o c i q m i i or q C T T          min , ,h i c iq C T T  • Performance Calculations:   min max, /f NTU C C  Cr Relations Table 11.3 or Figs. 11.14 - 11.19
  • 17. • Design Calculations:   min max, /NTU f C C  Relations Table 11.4 or Figs. 11.14 - 11.19 • For all heat exchangers, with rC   • For Cr = 0, to all HX types.a single relation appliesNTU   1 exp NTU      or 1n 1NTU   
  • 18.
  • 19. References  http://www.engineeringtoolbox.com/arithmetic-logarithmic- mean-temperature-d_436.html  http://www-old.me.gatech.edu/energy/laura/node5.html  http://www.che.ufl.edu/unit-ops-lab/experiments/HE/HE- theory.pdf  http://web.iitd.ac.in/~prabal/MEL242/(30-31)-Heat-exchanger- part-2.pdf