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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 825
Validation of Design Parameters of Radiator using Computational tool
K. Arasu1, T. Ramesh2
1Professor, Department of Mechanical Engineering, Bannari Amman Institute of Technology, Tamil Nadu, India
2PG Student, Department of Mechanical Engineering, Bannari Amman Institute of Technology, Tamil Nadu, India
---------------------------------------------------------------------***---------------------------------------------------------------------
ABSTRACT-Today’s automobiles aregettingequippedwith
high powered engines. The process of equipping such
automobiles with hiss necessitated the need for improving the
cooling efficiency of its radiators. The present work aims on
studying the thermal behaviour of automobile radiators. Both
LMTD and NTU methods are widely used for design and
performance analysis. In recent years, software is used as a
validating tool to generate results. This paper explains these
methods along with software results. This paper also includes
the case studies on two known examples from a text book. The
validated results and comparisons are presented. This work
provides a clear way for the easier verification of the thermal
performance of radiators. The designers involving radiators
could use this research as a base for improving their
performance. The software used for the performance
evaluation is HXcombine for analysing heat exchangers. The
results obtained serve as good database for the future
investigations.
Keywords: Automobile Radiator, Cooling Efficiency, Case
study, LMTD, NTU, Software
1. INTRODUCTION
The Radiator is a kind of heat exchanger which is used for
cooling IC engines, especially in automobiles. The radiator
system works by sending liquid coolant throughpassages in
the engine block and heads, from where the coolant picksup
heat from the engine block and heads.
Fig - 1: Typical car radiator [1]
The heated fluid is then carried to the radiator through the
rubber hose. Improving the cooling efficiency (only above
the optimum temperature) of the radiator improves the
performance of the engine. Most of the researches in this
field are concentrating on improving the heat transfer rate
by means of altering the properties of the coolant by adding
some nanoparticles. A typical radiatorusedinautomobilesis
shown in figure 1. This paper discusses the comparative
analysis of theoretical and software methods of designing
radiators.
2. EXPERIMENTAL SCHEME
The outlet of the radiator is connectedtotheoil storagetank.
The oil storage tank is connected to the heater.Thisinturnis
connected to the inlet of the radiator. For the flow purpose
the centrifugal pump is used and for connection purposethe
rubber hoses are used. The research work involves the
analysis of cooling performance of radiator by introducing
different nanoparticles and also by altering their usual
design. The proposed approach follows the following layout
Fig - 2: CAD Drawn Experimental Layout
The coolant enters the radiatorinhotcondition.Theradiator
distributes the hot coolant into its branchedtubeswherethe
coolant transfers its heat to the surroundings through the
fins. The coolant leaves the radiator at a temperature just
above the optimum temperature. This coolant is stored in
the oil storage tank. From the storage tank the oil is taken
through the engine’s coolant jackets (here the engine is
replaced by heater coils). As a resultthecoolantcarriesaway
the excess heat from the engine. This coolant in hot
condition is taken to the radiator and the cycle continues.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 826
This research work involves altering the property of the
coolant by introducingthe nanoparticlesintothecoolantand
analysing the corresponding heat transfer rate. In addition
this work also includes altering the design of the radiator.
3. LITERATURE REVIEW
Numerical methods are being studied to make the
computerized analysis of components. Numerical
investigation on the spiral radiator to study flow
characteristics and thermal performance by means of local
element by element analysis utilizing ε-NTU method has
been carried out. Experiments were performed and the
results after comparison with the theoretical values were
found to be promising. From the experimental data, a
correlation among the important dimensionless numbers
has been obtained using GARCH tool [2]. A research work
mentioned the radiator thermal analysis consist sizing and
rating of heat exchanger. It is also showed that the radiator
size mainly depends on heat rejection requirement. Further
thermal analysis of radiator is shown theoretically using ε-
NTU method and its validation by simulation approach [3].
The radiator is modelled by two methods, one is finite
difference method and the other is thermal resistance
concept. In the performance evaluation, a radiator is
installed into a test setup and the various parameters
including mass flow rate of coolant, inlet coolant
temperature etc. are varied [4].
It is declared that the efficiency of the radiator has been
increased through a variety of methods, out of which
radiator fan is the most used one to improving the efficiency
of radiator by modification of radiator fan and radiator tube
[5]. The conventional radiator size is rectangular which is
difficult for circular fan to cover whole surface area. It
creates lower velocity zones at corners giving less heat
transfer [6]. An experimental performance analysis found
that the power consumed by fan is 2 to 5% of power
produced by engine. It is proposed to have circular heat
exchanger for car radiators for maximum efficiency [7]. A
work investigated on parameters which influence radiator
performance at high coolant temperature that is 105O C and
its effect on the effectiveness at variable fan speed. A
literature review has also been done and ways were
identified how to enhance radiator performance [8].
A study dealt with enhancement of heat transfer for both
laminar and turbulent flow conditions [9]. A work described
use of nanofluid based coolant in engine cooling system and
its effect on cooling capacity. It is found that nano-fluid
having higher thermal conductivity than base coolant like
50%/50% water and ethylene glycol.
4. HEAT EXCHANGER DESIGN PARAMETERS
4.1 LMTD METHOD
It is a simple matter to use the Log Mean Temperature
Difference (LMTD) method of heat exchanger analysiswhen
the fluid inlet temperatures are known and the outlet
temperatures are specified or readily determined from the
energy balance expressions, as follows
The value of ΔTlm for the exchanger maythen bedetermined.
4.2 NTU METHOD
If only the inlet temperatures are known, use of the LMTD
method requires a cumbersome iterative procedure. It is
therefore preferable to use an alternative approach termed
the effectiveness–NTU (or NTU) method.
For cross flow with single pass and both fluids unmixed we
have
Effectiveness of a single pass crossflow heat exchanger with
both fluids unmixed
Generally,
To find Cmax and Cmin from ch and cc
qmax = Cmin(T1-t1)
Then the graph can be used to predict the value of ‘U’
5. CASE STUDIES
The two case studies on automobile radiators have been
taken from a standard text book [11] that is dealt as
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 827
radiators of cross flow type. For both case studies, the
calculations are done using ε – NTU method. Case study 1
deals with the design calculation while case study 2 deals
with performance evaluation.
5.1 CASE STUDY 1
Problem statement
An automobile radiator may be viewed as a cross-flow heat
exchanger with both fluids unmixed. Water,whichhasa flow
rate of 0.05 kg/s, enters the radiator at 400 K and is to leave
at 330 K. The water is cooled by air that enters at 0.75 kg/s
and 300 K. If the overall heat transfer coefficient is 200
W/m2∙K, what is the required heat transfer surface area?
Table - 1: Data for Case study 1
Hot fluid Cold Fluid
Common
Parameters
T1 = 400 K
T2 = 330 K
ṁh = 0.05 Kg/s
t1 = 300 K
ṁC = 0.75 Kg/s
U = 200 W/m2∙K
A = ?
q = ?
t2 = ?
Fig - 3: Case 1 Statement
Design calculation
Heat capacity rates:
T = (T1+ T2)/2
T = (400+ 330)/2 = 365 K
Let us assume t ≈ 310 K
From Thermophysical Properties of Saturated Water Table,
for T = 365 K we have cp = 4.209 KJ/Kg∙K
From Thermophysical Properties of Gases at Atmospheric
Pressure Table, for t ≈ 300 K we have cp = 1.007 KJ/Kg∙K
ṁC·cpc = 0.75 X 1.007 = 0.75525 KW/K (Cmax)
ṁh·cph = 0.05 X 4.209 = 0.21045 KW/K (Cmin)
Heat transfer rate:
qmax = Cmin∙(T1 – t1)
qmax = 0.21045 X (400-300) = 21.045 KW
q = (ṁh·cph) · (ΔT) = (ṁh·cph) · (T1-T2)
q = (0.21045) X (400-330) = 14.73 KW
For t2 determination:
q = (ṁC·cpc) · (Δt) = (ṁC·cpc)·(t2-t1)
14.7315 = (0.75525) X(t2 – 300)
t2 = 319.51 K
Since the problem has been solved using the assumed value
of t2 (i.e. t2 = 320 K), the iterations should be carried out for
the accurate value of t2. On iterating, the solution converges
within four iterations and the actual value of t2 is foundto be
319.4904 K which is almost same as the assumed value.
t2 = 319.49 K
For NTU determination
From Effectiveness of a single pass, cross-flow heat
exchanger with both fluids unmixed graph, for (Cmin/Cmax) =
0.27865 and ε = 0.7, we have NTU ≈ 1.5
But,
Thus,
A = 1.58 m2
Result
t2 = 319.5 K
q = 14.73 KW
A = 1.58 m2
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 828
Results from software (Case study 1)
Fig - 4: Software Result for Case 1 [HX Combine]
5.2 CASE STUDY 2
Problem statement
Hot air for a large-scale drying operation is to be produced
by routing the air over a tube bank (unmixed), while
products of combustion are routed through the tubes. The
surface area of the cross flow heat exchanger is A = 25 m2,
and for the proposed operatingconditions,themanufacturer
specifies an overall heat transfer coefficient of U = 35
W/m2∙K. The air and the combustion gases may each be
assumed to have a specific heat of cp = 1040 J/Kg∙K.Consider
conditions for which combustion gases flowing at 1 Kg/s
enter the heat exchanger at 800 K, while air at 5 Kg/s has an
inlet temperature of 300 K. What are the air and gas outlet
temperatures?
Table - 2: Data for Case study 2
Hot fluid Cold Fluid
Common
Parameters
T1 = 800 K
ṁh = 1 Kg/s
cph = 1040 J/Kg∙K
t1 = 300 K
ṁC = 5 Kg/s
cpc = 1040 J/Kg∙K
U = 35 W/m2∙K
A = 25 m2
q = ?
T2 = ?
t2 = ?
Fig - 5: Case 2 Statement
Design Calculation
Heat capacity rates:
ṁC·cpc = 5 X 1040 = 5200 W/K (Cmax)
ṁh·cph = 1 X 1040 = 1040 W/K (Cmin)
For NTU determination:
Cmin/Cmax = 1040/5200=0.2
NTU =UA/Cmin
Contours showing the quality of temperature
distribution
High Heat Flux Area
Low Heat Flux Area
Heat Capacity Rates
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 829
NTU = (35 X 25)/1040 =0.841
Heat transfer rate:
qmax = Cmin∙(T1 – t1)
qmax = 1040 X (800 – 300) = 520 KW
From the Effectiveness of a single pass, cross-flow heat
exchanger with both fluids unmixed graph ε ≈ 0.57
q = ε X Cmin X (T1-t1)
q = 0.57 X 1040 X (800-300) = 296.4 KW
For t2 determination:
q = (ṁC·cpc) · (Δt) = (ṁC·cpc) · (t2-t1)
296400 = (5200) ∙ (t2 – 300)
t2 = 357 K
For T2 determination:
q = (ṁh·cph) · (ΔT) = (ṁh·cph) · (T1-T2)
296400 = (1040)∙(800 – T2)
T2 = 515K
Result
q = 296.4 KW
t2 = 357 K
T2 = 515K
Results from software (Case study 2)
Fig - 6: Software Result for Case 2 [HX Combine]
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 830
6. RESULT
Table - 2: Comparison of results
Case
Studies
Parameters
Design
Calculation
Result
Software
Result
1
q (KW) 14.73 15.90
A (m2) 1.58 1.6
t2 (K) 319.51 319.8
ε 0.7 0.71
2
q (KW) 296.40 285.60
T2 (K) 515 530.3
t2 (K) 357 353.9
ε 0.57 0.54
It has been seen that the software results are almostsame as
that of the manually calculated results. On comparing
software results with that of design calculation results it is
obvious that the errors in software method is negligible and
the software method can be used to design a radiator with
considerable accuracy.
7. DISCUSSIONS
Thus this work has made a study and analysis of the thermal
behavior of the automobile radiators usingtheLMTDandε –
NTU methods of designing radiators for various parameters
of mass flow rates of coolant and air with its specific
geometrical parameters. The performance enhancement of
automobile radiators is found to be accomplished mainly by
altering the convective heat transfer coefficient. The
presence of case studies and comparing their results with
the software generated results has proved an easier way of
designing radiators which saves the time of the designer. In
addition the case studies reveal that ε – NTU method is the
most reliable method of designing radiators which are of
cross flow type heat exchangers.
ACKNOWLEDGEMENT
This work has been taken up by the recommendation from
the Gem Equipments (P) Ltd, Coimbatore, India who are
specialists in Design, Engineering and Fabrication of cooling
towers, air dryers and industrial chillers. The authors
gratefully acknowledge the encouragement received from
Mr. C. Ravi Selvan, Director, Gem Equipments.
REFERENCES
[1]. Prashant Reddy Kasu, Narendra Babu Ganesh,
Karri Sunil Kumar and Kandru Naga Siva (2017)
“Analysis of Heat Dissipation in Radiator of SI
Engine”, International Research Journal of
Engineering and Technology, Volume: 04 Issue: 05
[2]. Akhilnandh Ramesh (2015) “Heat Transfer Studies
on Air Cooled Spiral Radiator with Circumferential
Fins”, Procedia Engineering 127, 333 – 339
[3]. Amrutkar PS and Patil SR (2012)“Automotive
Radiator Sizing and Rating – Simulation Approach”,
IOSR Journal of Mechanical and Civil Engineering
[4]. Binit Kumar Jha,NeelamKhandelwal,Prateek Singh,
Nishtha Chaudhary and Tuba Shamin (2015)
“Analysis of Automobile Radiator Test Rig Using
Different Coolants”, International Conference on
Science, Technology and Management
[5]. Channankaiah D. Arunpandiyan (2016) “A Review
of AutomotiveRadiatorPerformance”,International
Journal for Innovative Research in Science &
Technology, Volume 2, Issue 10
[6]. Chavan DK and Tasgaonkar GS, (2014) “Thermal
Optimization of Fan Assisted Heat Exchanger
(Radiator) by Design Improvements”, International
Journal of Modern Engineering Research
(IJMER),Vol.1, Issue 1
[7]. Chavan D. K and Tasgaonkar G. S, (2013) “Study,
Analysis and Design of Automobile Radiator (Heat
Exchanger) Proposed with Cad Drawings and
Geometrical Model oftheFan”,International Journal
of Mechanical andProductionEngineeringResearch
and Development, Vol. 3, Issue 2
[8]. Devendra Vashist, Sunny Bhatia and Ashish Kalra
(2014) “Some Studies on the Performance of
Automotive Radiator at Higher Coolant
Temperature”, Journal of Basic and Applied
Engineering Research, Volume 1, Number 3
[9]. Kishore PS (2001) “Experimental and theoretical
studies of convective momentum and heat transfer
in tubes with twisted tape inserts”, Ph.D. Thesis,
Andhra University, Visakhapatnam, India
[10]. Leong KY (2010) “Performance Investigation of an
Automotive Car Radiator Operated with Nanofluid-
Based Coolants (Nanofluid as a Coolant in a
Radiator)”, Applied Thermal Engineering, 30
[11]. Incropera FP et al., (2007) “Fundamentals of Heat
and Mass Transfer”, John wiley & sons publications,
6th edition

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Validation of Design Parameters of Radiator using Computational Tool

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 825 Validation of Design Parameters of Radiator using Computational tool K. Arasu1, T. Ramesh2 1Professor, Department of Mechanical Engineering, Bannari Amman Institute of Technology, Tamil Nadu, India 2PG Student, Department of Mechanical Engineering, Bannari Amman Institute of Technology, Tamil Nadu, India ---------------------------------------------------------------------***--------------------------------------------------------------------- ABSTRACT-Today’s automobiles aregettingequippedwith high powered engines. The process of equipping such automobiles with hiss necessitated the need for improving the cooling efficiency of its radiators. The present work aims on studying the thermal behaviour of automobile radiators. Both LMTD and NTU methods are widely used for design and performance analysis. In recent years, software is used as a validating tool to generate results. This paper explains these methods along with software results. This paper also includes the case studies on two known examples from a text book. The validated results and comparisons are presented. This work provides a clear way for the easier verification of the thermal performance of radiators. The designers involving radiators could use this research as a base for improving their performance. The software used for the performance evaluation is HXcombine for analysing heat exchangers. The results obtained serve as good database for the future investigations. Keywords: Automobile Radiator, Cooling Efficiency, Case study, LMTD, NTU, Software 1. INTRODUCTION The Radiator is a kind of heat exchanger which is used for cooling IC engines, especially in automobiles. The radiator system works by sending liquid coolant throughpassages in the engine block and heads, from where the coolant picksup heat from the engine block and heads. Fig - 1: Typical car radiator [1] The heated fluid is then carried to the radiator through the rubber hose. Improving the cooling efficiency (only above the optimum temperature) of the radiator improves the performance of the engine. Most of the researches in this field are concentrating on improving the heat transfer rate by means of altering the properties of the coolant by adding some nanoparticles. A typical radiatorusedinautomobilesis shown in figure 1. This paper discusses the comparative analysis of theoretical and software methods of designing radiators. 2. EXPERIMENTAL SCHEME The outlet of the radiator is connectedtotheoil storagetank. The oil storage tank is connected to the heater.Thisinturnis connected to the inlet of the radiator. For the flow purpose the centrifugal pump is used and for connection purposethe rubber hoses are used. The research work involves the analysis of cooling performance of radiator by introducing different nanoparticles and also by altering their usual design. The proposed approach follows the following layout Fig - 2: CAD Drawn Experimental Layout The coolant enters the radiatorinhotcondition.Theradiator distributes the hot coolant into its branchedtubeswherethe coolant transfers its heat to the surroundings through the fins. The coolant leaves the radiator at a temperature just above the optimum temperature. This coolant is stored in the oil storage tank. From the storage tank the oil is taken through the engine’s coolant jackets (here the engine is replaced by heater coils). As a resultthecoolantcarriesaway the excess heat from the engine. This coolant in hot condition is taken to the radiator and the cycle continues.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 826 This research work involves altering the property of the coolant by introducingthe nanoparticlesintothecoolantand analysing the corresponding heat transfer rate. In addition this work also includes altering the design of the radiator. 3. LITERATURE REVIEW Numerical methods are being studied to make the computerized analysis of components. Numerical investigation on the spiral radiator to study flow characteristics and thermal performance by means of local element by element analysis utilizing ε-NTU method has been carried out. Experiments were performed and the results after comparison with the theoretical values were found to be promising. From the experimental data, a correlation among the important dimensionless numbers has been obtained using GARCH tool [2]. A research work mentioned the radiator thermal analysis consist sizing and rating of heat exchanger. It is also showed that the radiator size mainly depends on heat rejection requirement. Further thermal analysis of radiator is shown theoretically using ε- NTU method and its validation by simulation approach [3]. The radiator is modelled by two methods, one is finite difference method and the other is thermal resistance concept. In the performance evaluation, a radiator is installed into a test setup and the various parameters including mass flow rate of coolant, inlet coolant temperature etc. are varied [4]. It is declared that the efficiency of the radiator has been increased through a variety of methods, out of which radiator fan is the most used one to improving the efficiency of radiator by modification of radiator fan and radiator tube [5]. The conventional radiator size is rectangular which is difficult for circular fan to cover whole surface area. It creates lower velocity zones at corners giving less heat transfer [6]. An experimental performance analysis found that the power consumed by fan is 2 to 5% of power produced by engine. It is proposed to have circular heat exchanger for car radiators for maximum efficiency [7]. A work investigated on parameters which influence radiator performance at high coolant temperature that is 105O C and its effect on the effectiveness at variable fan speed. A literature review has also been done and ways were identified how to enhance radiator performance [8]. A study dealt with enhancement of heat transfer for both laminar and turbulent flow conditions [9]. A work described use of nanofluid based coolant in engine cooling system and its effect on cooling capacity. It is found that nano-fluid having higher thermal conductivity than base coolant like 50%/50% water and ethylene glycol. 4. HEAT EXCHANGER DESIGN PARAMETERS 4.1 LMTD METHOD It is a simple matter to use the Log Mean Temperature Difference (LMTD) method of heat exchanger analysiswhen the fluid inlet temperatures are known and the outlet temperatures are specified or readily determined from the energy balance expressions, as follows The value of ΔTlm for the exchanger maythen bedetermined. 4.2 NTU METHOD If only the inlet temperatures are known, use of the LMTD method requires a cumbersome iterative procedure. It is therefore preferable to use an alternative approach termed the effectiveness–NTU (or NTU) method. For cross flow with single pass and both fluids unmixed we have Effectiveness of a single pass crossflow heat exchanger with both fluids unmixed Generally, To find Cmax and Cmin from ch and cc qmax = Cmin(T1-t1) Then the graph can be used to predict the value of ‘U’ 5. CASE STUDIES The two case studies on automobile radiators have been taken from a standard text book [11] that is dealt as
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 827 radiators of cross flow type. For both case studies, the calculations are done using ε – NTU method. Case study 1 deals with the design calculation while case study 2 deals with performance evaluation. 5.1 CASE STUDY 1 Problem statement An automobile radiator may be viewed as a cross-flow heat exchanger with both fluids unmixed. Water,whichhasa flow rate of 0.05 kg/s, enters the radiator at 400 K and is to leave at 330 K. The water is cooled by air that enters at 0.75 kg/s and 300 K. If the overall heat transfer coefficient is 200 W/m2∙K, what is the required heat transfer surface area? Table - 1: Data for Case study 1 Hot fluid Cold Fluid Common Parameters T1 = 400 K T2 = 330 K ṁh = 0.05 Kg/s t1 = 300 K ṁC = 0.75 Kg/s U = 200 W/m2∙K A = ? q = ? t2 = ? Fig - 3: Case 1 Statement Design calculation Heat capacity rates: T = (T1+ T2)/2 T = (400+ 330)/2 = 365 K Let us assume t ≈ 310 K From Thermophysical Properties of Saturated Water Table, for T = 365 K we have cp = 4.209 KJ/Kg∙K From Thermophysical Properties of Gases at Atmospheric Pressure Table, for t ≈ 300 K we have cp = 1.007 KJ/Kg∙K ṁC·cpc = 0.75 X 1.007 = 0.75525 KW/K (Cmax) ṁh·cph = 0.05 X 4.209 = 0.21045 KW/K (Cmin) Heat transfer rate: qmax = Cmin∙(T1 – t1) qmax = 0.21045 X (400-300) = 21.045 KW q = (ṁh·cph) · (ΔT) = (ṁh·cph) · (T1-T2) q = (0.21045) X (400-330) = 14.73 KW For t2 determination: q = (ṁC·cpc) · (Δt) = (ṁC·cpc)·(t2-t1) 14.7315 = (0.75525) X(t2 – 300) t2 = 319.51 K Since the problem has been solved using the assumed value of t2 (i.e. t2 = 320 K), the iterations should be carried out for the accurate value of t2. On iterating, the solution converges within four iterations and the actual value of t2 is foundto be 319.4904 K which is almost same as the assumed value. t2 = 319.49 K For NTU determination From Effectiveness of a single pass, cross-flow heat exchanger with both fluids unmixed graph, for (Cmin/Cmax) = 0.27865 and ε = 0.7, we have NTU ≈ 1.5 But, Thus, A = 1.58 m2 Result t2 = 319.5 K q = 14.73 KW A = 1.58 m2
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 828 Results from software (Case study 1) Fig - 4: Software Result for Case 1 [HX Combine] 5.2 CASE STUDY 2 Problem statement Hot air for a large-scale drying operation is to be produced by routing the air over a tube bank (unmixed), while products of combustion are routed through the tubes. The surface area of the cross flow heat exchanger is A = 25 m2, and for the proposed operatingconditions,themanufacturer specifies an overall heat transfer coefficient of U = 35 W/m2∙K. The air and the combustion gases may each be assumed to have a specific heat of cp = 1040 J/Kg∙K.Consider conditions for which combustion gases flowing at 1 Kg/s enter the heat exchanger at 800 K, while air at 5 Kg/s has an inlet temperature of 300 K. What are the air and gas outlet temperatures? Table - 2: Data for Case study 2 Hot fluid Cold Fluid Common Parameters T1 = 800 K ṁh = 1 Kg/s cph = 1040 J/Kg∙K t1 = 300 K ṁC = 5 Kg/s cpc = 1040 J/Kg∙K U = 35 W/m2∙K A = 25 m2 q = ? T2 = ? t2 = ? Fig - 5: Case 2 Statement Design Calculation Heat capacity rates: ṁC·cpc = 5 X 1040 = 5200 W/K (Cmax) ṁh·cph = 1 X 1040 = 1040 W/K (Cmin) For NTU determination: Cmin/Cmax = 1040/5200=0.2 NTU =UA/Cmin Contours showing the quality of temperature distribution High Heat Flux Area Low Heat Flux Area Heat Capacity Rates
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 829 NTU = (35 X 25)/1040 =0.841 Heat transfer rate: qmax = Cmin∙(T1 – t1) qmax = 1040 X (800 – 300) = 520 KW From the Effectiveness of a single pass, cross-flow heat exchanger with both fluids unmixed graph ε ≈ 0.57 q = ε X Cmin X (T1-t1) q = 0.57 X 1040 X (800-300) = 296.4 KW For t2 determination: q = (ṁC·cpc) · (Δt) = (ṁC·cpc) · (t2-t1) 296400 = (5200) ∙ (t2 – 300) t2 = 357 K For T2 determination: q = (ṁh·cph) · (ΔT) = (ṁh·cph) · (T1-T2) 296400 = (1040)∙(800 – T2) T2 = 515K Result q = 296.4 KW t2 = 357 K T2 = 515K Results from software (Case study 2) Fig - 6: Software Result for Case 2 [HX Combine]
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 11 | Nov -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 830 6. RESULT Table - 2: Comparison of results Case Studies Parameters Design Calculation Result Software Result 1 q (KW) 14.73 15.90 A (m2) 1.58 1.6 t2 (K) 319.51 319.8 ε 0.7 0.71 2 q (KW) 296.40 285.60 T2 (K) 515 530.3 t2 (K) 357 353.9 ε 0.57 0.54 It has been seen that the software results are almostsame as that of the manually calculated results. On comparing software results with that of design calculation results it is obvious that the errors in software method is negligible and the software method can be used to design a radiator with considerable accuracy. 7. DISCUSSIONS Thus this work has made a study and analysis of the thermal behavior of the automobile radiators usingtheLMTDandε – NTU methods of designing radiators for various parameters of mass flow rates of coolant and air with its specific geometrical parameters. The performance enhancement of automobile radiators is found to be accomplished mainly by altering the convective heat transfer coefficient. The presence of case studies and comparing their results with the software generated results has proved an easier way of designing radiators which saves the time of the designer. In addition the case studies reveal that ε – NTU method is the most reliable method of designing radiators which are of cross flow type heat exchangers. ACKNOWLEDGEMENT This work has been taken up by the recommendation from the Gem Equipments (P) Ltd, Coimbatore, India who are specialists in Design, Engineering and Fabrication of cooling towers, air dryers and industrial chillers. The authors gratefully acknowledge the encouragement received from Mr. C. Ravi Selvan, Director, Gem Equipments. REFERENCES [1]. Prashant Reddy Kasu, Narendra Babu Ganesh, Karri Sunil Kumar and Kandru Naga Siva (2017) “Analysis of Heat Dissipation in Radiator of SI Engine”, International Research Journal of Engineering and Technology, Volume: 04 Issue: 05 [2]. Akhilnandh Ramesh (2015) “Heat Transfer Studies on Air Cooled Spiral Radiator with Circumferential Fins”, Procedia Engineering 127, 333 – 339 [3]. Amrutkar PS and Patil SR (2012)“Automotive Radiator Sizing and Rating – Simulation Approach”, IOSR Journal of Mechanical and Civil Engineering [4]. Binit Kumar Jha,NeelamKhandelwal,Prateek Singh, Nishtha Chaudhary and Tuba Shamin (2015) “Analysis of Automobile Radiator Test Rig Using Different Coolants”, International Conference on Science, Technology and Management [5]. Channankaiah D. Arunpandiyan (2016) “A Review of AutomotiveRadiatorPerformance”,International Journal for Innovative Research in Science & Technology, Volume 2, Issue 10 [6]. Chavan DK and Tasgaonkar GS, (2014) “Thermal Optimization of Fan Assisted Heat Exchanger (Radiator) by Design Improvements”, International Journal of Modern Engineering Research (IJMER),Vol.1, Issue 1 [7]. Chavan D. K and Tasgaonkar G. S, (2013) “Study, Analysis and Design of Automobile Radiator (Heat Exchanger) Proposed with Cad Drawings and Geometrical Model oftheFan”,International Journal of Mechanical andProductionEngineeringResearch and Development, Vol. 3, Issue 2 [8]. Devendra Vashist, Sunny Bhatia and Ashish Kalra (2014) “Some Studies on the Performance of Automotive Radiator at Higher Coolant Temperature”, Journal of Basic and Applied Engineering Research, Volume 1, Number 3 [9]. Kishore PS (2001) “Experimental and theoretical studies of convective momentum and heat transfer in tubes with twisted tape inserts”, Ph.D. Thesis, Andhra University, Visakhapatnam, India [10]. Leong KY (2010) “Performance Investigation of an Automotive Car Radiator Operated with Nanofluid- Based Coolants (Nanofluid as a Coolant in a Radiator)”, Applied Thermal Engineering, 30 [11]. Incropera FP et al., (2007) “Fundamentals of Heat and Mass Transfer”, John wiley & sons publications, 6th edition