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Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
www.ijera.com 17|P a g e
Modeling and Fluid Flow Analysis of Wavy Fin Based
Automotive Radiator
Vishwa Deepak Dwivedi, Ranjeet Rai
Scholar of Master of Technology, Mechanical Engineering Department, UCER, ALLAHABAD
Assistant Professor, Mechanical Engineering Department, UCER, ALLAHABAD
Highlights
 Modeling of Wavy fin based Heavy vehicle automotive radiator.
 CFX simulation of cross flow heat transfer of nanofluids in circular tubes.
 Compare the cooling capacity by estimating temperature distribution of nanofluid as coolant to
water/EG as base fluid alone.
Abstract:
In continuous technological development, an automotive industry has increased the demand for high efficiency
engines. A high efficiency engines in not only based on its performance but also for better fuel economy and
less emission rate.
Radiator is one of the important parts of the internal combustion engine cooling system. The manufacturing cost
of the radiator is 20 percent of the whole cost of the engine. So improving the performance and reducing cost of
radiators are necessary research. For higher cooling capacity of radiator, addition of fins is one of the
approaches to increase the cooling rate of the radiator. In addition, heat transfer fluids at air and fluid side such
as water and ethylene glycol exhibit very low thermal conductivity. As a result there is a need for new and
innovative heat transfer fluids, known as “Nano fluid” for improving heat transfer rate in an automotive radiator.
Recently there have been considerable research findings highlighting superior heat transfer performances of
nanofluids about 15-25% of heat transfer enhancement can be achieved by using types of nanofluids. With these
specific characteristics, the size and weight of an automotive car radiator can be reduced without affecting its
heat transfer performance.
An automotive radiator (Wavy fin type) model is modeled on modeling software CATIA V5 and performance
evaluation is done on pre-processing software ANSYS 14.0. The temperature and velocity distribution of
coolant and air are analyzed by using Computational fluid dynamics environment software CFX. Results have
shown that the rate of heat transfer is better when nano fluid (Si C + water) is used as coolant, than the
conventional coolant.
Keywords: Automotive radiator, Nanofluid, Wavy fin and circular tube geometry, performance parameters.
I. Introduction
As a type of compact heat exchanger, plate fin
heat exchangers are used in a wide variety of
applications. Typical among these are automobile
radiators, air conditioning evaporators and
condensers, charge air coolers, electronic cooling
devices and cryogenic exchangers to meet the
demand for saving energy and resources. To reduce
the size and weight of heat exchangers, various
augmented surfaces have been developed to improve
the air side heat transfer performances. Typical fin
geometries are plain fins, wavy fins, offset fins,
perforated fins, pin fins and louvered fins. For the
complex geometries, which are usually set up in a
cross flow arrangement, with wavy fin geometry in a
compact automotive radiator. Heat exchangers are
used either individually or as components of a large
thermal system, in a wide variety of commercial,
industrial and household applications, e.g. power
generation, refrigeration, ventilating and air-
conditioning systems, process, manufacturing,
aerospace industries, electronic chip cooling as well
as in environmental engineering. The improvements
in the performance of the heat exchangers have
attracted many researchers for a long time as they are
of great technical, economical, and not the least,
ecological importance.
Incessant technological development in
automotive industries has required for high efficiency
engines. A high efficiency engine is not only based
on the performance of radiator but also depends on
better fuel economy and less emission rate. Reducing
the vehicle weight by optimizing design and size of a
radiator is a capital feature. Addition of fins is one of
the approaches to increase the heat transfer rate of
radiator, provides greater heat transfer area and
enhances the air convective heat transfer coefficient.
The typical tube geometry uses in the compact
RESEARCH ARTICLE OPEN ACCESS
Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
www.ijera.com 18|P a g e
automotive radiator, are flat, circular and elliptical in
shape.
The conventional method of increasing the
cooling rate is to use extended heat transfer surfaces
for exchanging heat with a heat transfer fluid.
However, this approach requires an undesirable
increase in the size of the thermal management
system. In addition, the inherently poor thermo
physical properties of conventional heat transfer
fluids such as water, ethylene glycol (EG) or engine
oil (EO) greatly limit the cooling performance. Thus,
conventional methods for increasing heat dissipation
are not suitable to meet the demand of these high
technology industries. There is therefore, a need to
develop advanced cooling techniques and innovative
heat transfer fluids with better heat transfer
performance. At room temperature, metallic solids
possess an order-of-magnitude higher thermal
conductivity than fluids. This new class of heat
transfer fluids (nanofluids) is engineered by
dispersing nanometer-sized (one billionth of a meter)
solid particles, rods or tubes in traditional heat
transfer fluids. Thus, nanofluids have attracted great
interest from the research community due to their
potential benefits and applications in numerous
important fields such as microelectronics,
transportation, manufacturing, medical, and HVAC.
The purpose of the paper is to predict the flow
behaviour and temperature distribution of a Wavy fin
tube cooling units with nanofluids (Si C based fluid)
and to calculate and compare the loss in temperature
in conventional and nanofluids (Si C based fluid) as
coolant in the radiator model with CFX analysis.
Fig.1 Geometry of wavy fin
Nomenclature
A Total heat transfer area
C Heat capacity rate
cp Specific heat
Dh Hydraulic diameter
Fh Fin height
Fp Fin pitch
H Heat transfer coefficient
K Thermal conductivity
Ld Fin length
Q Heat transfer rate
ṁ Mass flow rate
Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
www.ijera.com 19|P a g e
Greek symbols
Ρ Density, kg/m3
σ Minimum free flow
area
ν Viscosity, m2
/s
Abbreviations
a Air
f Fin
i Inlet
o Outlet
bf Basefluid
nf Nanofluid
np Nanoparticles
II. Mathematical Modeling
2.1 Problem geometry
The Heavy vehicle automotive radiator is a type of compact heat exchanger, is made of four major
components as coolant inlet tank, outlet tank, pressure cap and core. The main subcomponents of the core are
tubes and fins. Circular tubes are more effective for automotive engine applications due to their low drag
compared with elliptical tubes.
The design is a circular tube and wavy fin based automotive radiator which is designed for getting high cooling
rate with nanofluids. There is no. of circular tubes which are arranged in parallel design use for the support of
fins as well as contain the necessary volume of coolant.
Fig.2 Isometric view of Wavy fin based compact radiator on CATIA
Fig.3 Front view of wavy fin and circular tubes on CATIA
T Fin thickness
T Temperature
u Fluid velocity
U
Si C
Overall heat transfer coefficient
Silicon Carbide
Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
www.ijera.com 20|P a g e
2.2 The governing equations
The governing equations are assumed to be steady state for in compressible fluid and the fluid inside the tube
has Newtonian behaviour. The density of the water and ethylene glycol-based nanofluids is almost constant
under pressure. Ambient temperature and an air velocity through the air cooled exchanger are assumed to
constant. Inlet velocity and temperature of the circular tube is uniform. Thermal equilibrium is established
between the Nanoparticles and the base fluid. The wall resistance and fouling factors are taken as negligible.
The following assumptions have been made for analysis:
1) Properties of nanofluid as well as air assumed to be constant.
2) Steady state process.
3) All the heat rejected from nanofluid absorbed by air flow through radiator.
2.2.1 Calculation of heat transfer rate (for conventional fluids)
Heat transfer rate on air side;
Q = ha A ∆T = ha A (Th2-Th1)
Heat transfer rate on water side;
Q = m cp ∆T = m cp (T2-T1)
Mass of water through each tube;
ṁ = ρ A V
Volume (V) = l× 𝑏 × 𝑤
Pressure loss on tube;
(4∆T) =
4𝑓𝑙 𝑣2
2𝑔
Friction factor =
0.079
𝑅𝑒0.25
Reynolds number (Re) =
𝑉𝐷
𝜈
2.2.2 Calculation of heat transfer rate (for nanofluid)
Heat transfer rate for nanofluid
Q = h nf A ∆T = h nf A (Tc2-Tc1)
Heat transfer coefficient for nanofluid
Nu =
𝑕 𝑒𝑥𝑝 𝑑 𝑕 𝑦
𝑘
=
𝑚 𝑐 𝑝 (𝑇 𝑖𝑛 −𝑇𝑜𝑢𝑡 )
𝐴(𝑇1−𝑇2)
Nu = Re0.8
Pr0.3
(Dittus - Boelter Equation)
If friction factor will be consider;
Nu =
𝑓
8
𝑅𝑒−1000 𝑃𝑟
1+12.7(
𝑓
8
)0.5(𝑃𝑟
2
3−1)
(Gnielinsky Equation)
Friction factor (f) = (0.79lnRe-1.69)-2
III. Input parameters
The radiator which is considered is mounted on the present heavy vehicles diesel engine is, cross flow
compact heat exchanger with unmixed fluids. Radiator consists of 644 circular tubes whose diameter is 0.35cm
(Air side) and 0.37 cm (coolant side), make of brass and 346 continuous fins of 0.25 mm thick, made of
aluminum alloy whose thermal conductivity is considered as 177 W/m K. For designing and performance
analyses of compact automotive radiator (Wavy fin type) using nanofluid as coolant (Si C + water) whose
thermal conductivity is 350 W/m K. The following parameters are given as;
Table 1: Fluid parameters and Normal Operating conditions:
S. No. Description Air Coolant
1. Fluid mass rate 20 Kg/s 6 Kg/s
2. Fluid inlet temperature 35 ℃ 95 ℃
3. Core Width 60 cm
4. Core height 60 cm
5. Core depth 1.7 cm
Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
www.ijera.com 21|P a g e
Table 2: Specification of Wavy fin parameters:
S. No. Description Fin Dimension
1. Fin pitch (Fp) 2 mm
2. Fin height (Fh) 8 mm
3. Fin length (Ld) 36.6 mm
4. Fin variation (2A) 1.5 mm
5. Louver length (L) 10.8 mm
IV. Simulation process
For implementing the analysis, pre-processing software ANSYS 14.0 is used for the compact heat
exchanger. This software is useful in analyzing the fluid properties at operating temperatures is estimating the
velocity and temperature distribution of coolant and air of cross flow automotive radiator.
Numerical simulation approach is adopted using the theory of three-dimensional computational fluid dynamics
and flow direction is studied with the help of CFX. With this approach, it was able to generate three dimensional
patterns for temperature and pressure of coolant and air, inside and outside the radiator respectively.
As the model analysis is difficult with available resources, 625 tubes model is reduced to 16 tubes model which
gives the same result, in the specific ratio. The radiator model is imported from CATIA to ANSYS through a
neutral file format STEP. Imported model contains only single volume of radiator with fins. For the analysis of
the radiator model, we need volume of coolant and air flow. Coolant volume is created by selecting all the inner
surfaces of the radiator where the coolant flows.
Continuum type of air and coolant are set to fluid and radiator is set to solid. Inlet and outlet areas of coolant
(inside the radiator) and air (outside the radiator) have been assigned which are further used in CFX.
Fig.4 Meshing of a section of radiator on ANSYS
Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
www.ijera.com 22|P a g e
V. Results and Discussion
The simulation results obtained show reasonable variation in the temperature as expected. A drop in
temperature of the coolant from 375 K to 342 K.
Fig.5 The variation of coolant (Si C) temperature in K
Fig.6 The variation of coolant (water) temperature in K
The loss in temperature across the tube length for the water as coolant and nano fluid as coolant are shown
below. Where the drop in temperature with water as coolant is from 375 to 349 i.e. 26℃ and with nano fluid as
coolant, it is 375 to 342 i.e. 33℃. So by this it has been shown that heat transfer of nano fluid is better than that
of water as coolant in compact radiator.
Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
www.ijera.com 23|P a g e
Fig.9 Loss in temperature of coolant with nanofluid and water
Fig.8 Air flow variation through the radiator
As heat transfer rate is more in tubes when coolant just enters. As the air flow rate is very less in between the
tubes, heat transfer rate is less in the centre tubes when compared to that of end tubes.
Due to friction in the tubes, there will be loss of pressure across the tubes. As there are number of tubes and in
each tube input pressure and output pressure vary from each other, we get a graph of pressure variation along
the tube length.
340
345
350
355
360
365
370
375
380
0 0.1 0.2 0.3 0.4
Coolanttemperature(K)
Tube length (m)
nano fluid
water
Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
www.ijera.com 24|P a g e
Fig.9 Pressure distribution of the coolant through tube length
Fig.10 Contours of pressure distribution of coolant through tube
Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
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Fig.11 Loss in pressure of coolant
VI. Conclusion
The fluid flow and heat transfer analysis of the
automotive radiator with nano fluid is successfully
carried out. The variations in the pressure,
temperature and velocity in the direction of coolant
flow and air flow is analyzed. The study forms a
foundation for the fluid flow analysis of an
automotive radiator with nano fluid. With the
computational time and available resources, the
results obtained are to be satisfied. It is obtained that
temperature drop of conventional coolant is 26℃
and for nanofluid as coolant, is 33℃ and pressure
drop of 528 Pa in the coolant. So when compared for
conventional coolant (water), the heat transfer rate is
higher when nanofluid is used as coolant on same
radiator model.
As we can find that we can reduce the size of
the radiator by using nanofluid as coolant to obtain
higher cooling capacity by which we can optimize
the size, weight and cost of automotive vehicles in
recent years.
Based on results and comparisons, following
conclusions are obtained;
 Cooling capacity increases with increase in
mass flow rate of air and coolant.
 Reduction in cooling capacity with the
increase in inlet air temperature while cooling
capacity increases with the increase in inlet
coolant temperature.
 The pressure drop also increases with the
increase in air and coolant mass flow rate
through radiator.
 About 5% increment in cooling capacity with
the use of nanofluid as coolant in Wavy fin
heat exchanger as compared to Conventional
coolant.
However, a continued study in various aspects
for a better design of the radiator are
suggested as;
 Experimental set up will be prepared for
different fin geometry and comparison of this
result will be done with experimental data.
References
[1.] Gunnasegaran, shuaib N.H., Abdul Jalala,
M.F. and Sandhita {2012} „Numerical
Study of Fluid Dynamic and Heat Transfer
in a Compact Heat Exchanger Using
Nanofluids‟, ISRN Mechanical Engineering
, Vol.2012, Article ID 585496.
[2.] K.Y. Leong, R. Saidur, S.N. Kazi and A. H.
Mamun, {2010} „Performance investigation
of an automotive car radiator operated with
nanofluid – based coolants (nanofluid as a
coolant in a radiator)‟, Applied Thermal
Engineering, Vol. 30, pp. 2685-2692.
[3.] R. Tarodiya, J. Sarkar and J. V. Tirkey
{2012} „Preformance of flat fin tube
automotive radiator using nanofluids as
coolants, Emerging trends in mechanical
engineering ETME 422-429.
[4.] R. Strandberg and D.K. Das {2010}
„Finned tube performance evaluation with
nanofluids and conventional heat transfer
fluids‟, International Journal Thermal
Sciences, Vol. 49, pp. 580-588.
[5.] R. S. Vajjha, D.K. Das, and P. K.
Namburu, P.K.{2010} „Numerical Study of
fluid dynamic and heat transfer
performance of Al2O3 and Cu O nanofluids
in the flat tubes of a radiator‟, International
Journal Heat fluid Flow, Vol. 31, pp. 613-
621.
0
100
200
300
400
500
600
0 0.1 0.2 0.3 0.4
Pressure(Pa)
Tube length (m)
nano fluid
Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26
www.ijera.com 26|P a g e
[6.] Deepak Chintakayal and Rajamanickam C
S {2013} „CFD analysis of fluid flow and
heat transfer of an automotive radiator with
nanofluid‟, Auto Vertical, L& T IES.
[7.] Adnan M. Hussein, R. K. Bakar, K.
Kadirgama and K.V. Sharma {2014} „Heat
transfer enhancement using nanofluids in
an automotive cooling system‟,
International communications in heat and
mass transfer Vol. 53, pp. 195-202.
[8.] Vahid Delavari and Seyed Hassan
Hashemabadi {2014} „CFD simulation of
heat transfer enhancement of Al2O3/water
and Al2O3/ethylene glycol nanofluids in a
car radiator‟ Applied Thermal Engineering,
Vol. 73, pp. 378-388.

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Modeling and Fluid Flow Analysis of Wavy Fin Based Automotive Radiator

  • 1. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 17|P a g e Modeling and Fluid Flow Analysis of Wavy Fin Based Automotive Radiator Vishwa Deepak Dwivedi, Ranjeet Rai Scholar of Master of Technology, Mechanical Engineering Department, UCER, ALLAHABAD Assistant Professor, Mechanical Engineering Department, UCER, ALLAHABAD Highlights  Modeling of Wavy fin based Heavy vehicle automotive radiator.  CFX simulation of cross flow heat transfer of nanofluids in circular tubes.  Compare the cooling capacity by estimating temperature distribution of nanofluid as coolant to water/EG as base fluid alone. Abstract: In continuous technological development, an automotive industry has increased the demand for high efficiency engines. A high efficiency engines in not only based on its performance but also for better fuel economy and less emission rate. Radiator is one of the important parts of the internal combustion engine cooling system. The manufacturing cost of the radiator is 20 percent of the whole cost of the engine. So improving the performance and reducing cost of radiators are necessary research. For higher cooling capacity of radiator, addition of fins is one of the approaches to increase the cooling rate of the radiator. In addition, heat transfer fluids at air and fluid side such as water and ethylene glycol exhibit very low thermal conductivity. As a result there is a need for new and innovative heat transfer fluids, known as “Nano fluid” for improving heat transfer rate in an automotive radiator. Recently there have been considerable research findings highlighting superior heat transfer performances of nanofluids about 15-25% of heat transfer enhancement can be achieved by using types of nanofluids. With these specific characteristics, the size and weight of an automotive car radiator can be reduced without affecting its heat transfer performance. An automotive radiator (Wavy fin type) model is modeled on modeling software CATIA V5 and performance evaluation is done on pre-processing software ANSYS 14.0. The temperature and velocity distribution of coolant and air are analyzed by using Computational fluid dynamics environment software CFX. Results have shown that the rate of heat transfer is better when nano fluid (Si C + water) is used as coolant, than the conventional coolant. Keywords: Automotive radiator, Nanofluid, Wavy fin and circular tube geometry, performance parameters. I. Introduction As a type of compact heat exchanger, plate fin heat exchangers are used in a wide variety of applications. Typical among these are automobile radiators, air conditioning evaporators and condensers, charge air coolers, electronic cooling devices and cryogenic exchangers to meet the demand for saving energy and resources. To reduce the size and weight of heat exchangers, various augmented surfaces have been developed to improve the air side heat transfer performances. Typical fin geometries are plain fins, wavy fins, offset fins, perforated fins, pin fins and louvered fins. For the complex geometries, which are usually set up in a cross flow arrangement, with wavy fin geometry in a compact automotive radiator. Heat exchangers are used either individually or as components of a large thermal system, in a wide variety of commercial, industrial and household applications, e.g. power generation, refrigeration, ventilating and air- conditioning systems, process, manufacturing, aerospace industries, electronic chip cooling as well as in environmental engineering. The improvements in the performance of the heat exchangers have attracted many researchers for a long time as they are of great technical, economical, and not the least, ecological importance. Incessant technological development in automotive industries has required for high efficiency engines. A high efficiency engine is not only based on the performance of radiator but also depends on better fuel economy and less emission rate. Reducing the vehicle weight by optimizing design and size of a radiator is a capital feature. Addition of fins is one of the approaches to increase the heat transfer rate of radiator, provides greater heat transfer area and enhances the air convective heat transfer coefficient. The typical tube geometry uses in the compact RESEARCH ARTICLE OPEN ACCESS
  • 2. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 18|P a g e automotive radiator, are flat, circular and elliptical in shape. The conventional method of increasing the cooling rate is to use extended heat transfer surfaces for exchanging heat with a heat transfer fluid. However, this approach requires an undesirable increase in the size of the thermal management system. In addition, the inherently poor thermo physical properties of conventional heat transfer fluids such as water, ethylene glycol (EG) or engine oil (EO) greatly limit the cooling performance. Thus, conventional methods for increasing heat dissipation are not suitable to meet the demand of these high technology industries. There is therefore, a need to develop advanced cooling techniques and innovative heat transfer fluids with better heat transfer performance. At room temperature, metallic solids possess an order-of-magnitude higher thermal conductivity than fluids. This new class of heat transfer fluids (nanofluids) is engineered by dispersing nanometer-sized (one billionth of a meter) solid particles, rods or tubes in traditional heat transfer fluids. Thus, nanofluids have attracted great interest from the research community due to their potential benefits and applications in numerous important fields such as microelectronics, transportation, manufacturing, medical, and HVAC. The purpose of the paper is to predict the flow behaviour and temperature distribution of a Wavy fin tube cooling units with nanofluids (Si C based fluid) and to calculate and compare the loss in temperature in conventional and nanofluids (Si C based fluid) as coolant in the radiator model with CFX analysis. Fig.1 Geometry of wavy fin Nomenclature A Total heat transfer area C Heat capacity rate cp Specific heat Dh Hydraulic diameter Fh Fin height Fp Fin pitch H Heat transfer coefficient K Thermal conductivity Ld Fin length Q Heat transfer rate ṁ Mass flow rate
  • 3. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 19|P a g e Greek symbols Ρ Density, kg/m3 σ Minimum free flow area ν Viscosity, m2 /s Abbreviations a Air f Fin i Inlet o Outlet bf Basefluid nf Nanofluid np Nanoparticles II. Mathematical Modeling 2.1 Problem geometry The Heavy vehicle automotive radiator is a type of compact heat exchanger, is made of four major components as coolant inlet tank, outlet tank, pressure cap and core. The main subcomponents of the core are tubes and fins. Circular tubes are more effective for automotive engine applications due to their low drag compared with elliptical tubes. The design is a circular tube and wavy fin based automotive radiator which is designed for getting high cooling rate with nanofluids. There is no. of circular tubes which are arranged in parallel design use for the support of fins as well as contain the necessary volume of coolant. Fig.2 Isometric view of Wavy fin based compact radiator on CATIA Fig.3 Front view of wavy fin and circular tubes on CATIA T Fin thickness T Temperature u Fluid velocity U Si C Overall heat transfer coefficient Silicon Carbide
  • 4. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 20|P a g e 2.2 The governing equations The governing equations are assumed to be steady state for in compressible fluid and the fluid inside the tube has Newtonian behaviour. The density of the water and ethylene glycol-based nanofluids is almost constant under pressure. Ambient temperature and an air velocity through the air cooled exchanger are assumed to constant. Inlet velocity and temperature of the circular tube is uniform. Thermal equilibrium is established between the Nanoparticles and the base fluid. The wall resistance and fouling factors are taken as negligible. The following assumptions have been made for analysis: 1) Properties of nanofluid as well as air assumed to be constant. 2) Steady state process. 3) All the heat rejected from nanofluid absorbed by air flow through radiator. 2.2.1 Calculation of heat transfer rate (for conventional fluids) Heat transfer rate on air side; Q = ha A ∆T = ha A (Th2-Th1) Heat transfer rate on water side; Q = m cp ∆T = m cp (T2-T1) Mass of water through each tube; ṁ = ρ A V Volume (V) = l× 𝑏 × 𝑤 Pressure loss on tube; (4∆T) = 4𝑓𝑙 𝑣2 2𝑔 Friction factor = 0.079 𝑅𝑒0.25 Reynolds number (Re) = 𝑉𝐷 𝜈 2.2.2 Calculation of heat transfer rate (for nanofluid) Heat transfer rate for nanofluid Q = h nf A ∆T = h nf A (Tc2-Tc1) Heat transfer coefficient for nanofluid Nu = 𝑕 𝑒𝑥𝑝 𝑑 𝑕 𝑦 𝑘 = 𝑚 𝑐 𝑝 (𝑇 𝑖𝑛 −𝑇𝑜𝑢𝑡 ) 𝐴(𝑇1−𝑇2) Nu = Re0.8 Pr0.3 (Dittus - Boelter Equation) If friction factor will be consider; Nu = 𝑓 8 𝑅𝑒−1000 𝑃𝑟 1+12.7( 𝑓 8 )0.5(𝑃𝑟 2 3−1) (Gnielinsky Equation) Friction factor (f) = (0.79lnRe-1.69)-2 III. Input parameters The radiator which is considered is mounted on the present heavy vehicles diesel engine is, cross flow compact heat exchanger with unmixed fluids. Radiator consists of 644 circular tubes whose diameter is 0.35cm (Air side) and 0.37 cm (coolant side), make of brass and 346 continuous fins of 0.25 mm thick, made of aluminum alloy whose thermal conductivity is considered as 177 W/m K. For designing and performance analyses of compact automotive radiator (Wavy fin type) using nanofluid as coolant (Si C + water) whose thermal conductivity is 350 W/m K. The following parameters are given as; Table 1: Fluid parameters and Normal Operating conditions: S. No. Description Air Coolant 1. Fluid mass rate 20 Kg/s 6 Kg/s 2. Fluid inlet temperature 35 ℃ 95 ℃ 3. Core Width 60 cm 4. Core height 60 cm 5. Core depth 1.7 cm
  • 5. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 21|P a g e Table 2: Specification of Wavy fin parameters: S. No. Description Fin Dimension 1. Fin pitch (Fp) 2 mm 2. Fin height (Fh) 8 mm 3. Fin length (Ld) 36.6 mm 4. Fin variation (2A) 1.5 mm 5. Louver length (L) 10.8 mm IV. Simulation process For implementing the analysis, pre-processing software ANSYS 14.0 is used for the compact heat exchanger. This software is useful in analyzing the fluid properties at operating temperatures is estimating the velocity and temperature distribution of coolant and air of cross flow automotive radiator. Numerical simulation approach is adopted using the theory of three-dimensional computational fluid dynamics and flow direction is studied with the help of CFX. With this approach, it was able to generate three dimensional patterns for temperature and pressure of coolant and air, inside and outside the radiator respectively. As the model analysis is difficult with available resources, 625 tubes model is reduced to 16 tubes model which gives the same result, in the specific ratio. The radiator model is imported from CATIA to ANSYS through a neutral file format STEP. Imported model contains only single volume of radiator with fins. For the analysis of the radiator model, we need volume of coolant and air flow. Coolant volume is created by selecting all the inner surfaces of the radiator where the coolant flows. Continuum type of air and coolant are set to fluid and radiator is set to solid. Inlet and outlet areas of coolant (inside the radiator) and air (outside the radiator) have been assigned which are further used in CFX. Fig.4 Meshing of a section of radiator on ANSYS
  • 6. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 22|P a g e V. Results and Discussion The simulation results obtained show reasonable variation in the temperature as expected. A drop in temperature of the coolant from 375 K to 342 K. Fig.5 The variation of coolant (Si C) temperature in K Fig.6 The variation of coolant (water) temperature in K The loss in temperature across the tube length for the water as coolant and nano fluid as coolant are shown below. Where the drop in temperature with water as coolant is from 375 to 349 i.e. 26℃ and with nano fluid as coolant, it is 375 to 342 i.e. 33℃. So by this it has been shown that heat transfer of nano fluid is better than that of water as coolant in compact radiator.
  • 7. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 23|P a g e Fig.9 Loss in temperature of coolant with nanofluid and water Fig.8 Air flow variation through the radiator As heat transfer rate is more in tubes when coolant just enters. As the air flow rate is very less in between the tubes, heat transfer rate is less in the centre tubes when compared to that of end tubes. Due to friction in the tubes, there will be loss of pressure across the tubes. As there are number of tubes and in each tube input pressure and output pressure vary from each other, we get a graph of pressure variation along the tube length. 340 345 350 355 360 365 370 375 380 0 0.1 0.2 0.3 0.4 Coolanttemperature(K) Tube length (m) nano fluid water
  • 8. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 24|P a g e Fig.9 Pressure distribution of the coolant through tube length Fig.10 Contours of pressure distribution of coolant through tube
  • 9. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 25|P a g e Fig.11 Loss in pressure of coolant VI. Conclusion The fluid flow and heat transfer analysis of the automotive radiator with nano fluid is successfully carried out. The variations in the pressure, temperature and velocity in the direction of coolant flow and air flow is analyzed. The study forms a foundation for the fluid flow analysis of an automotive radiator with nano fluid. With the computational time and available resources, the results obtained are to be satisfied. It is obtained that temperature drop of conventional coolant is 26℃ and for nanofluid as coolant, is 33℃ and pressure drop of 528 Pa in the coolant. So when compared for conventional coolant (water), the heat transfer rate is higher when nanofluid is used as coolant on same radiator model. As we can find that we can reduce the size of the radiator by using nanofluid as coolant to obtain higher cooling capacity by which we can optimize the size, weight and cost of automotive vehicles in recent years. Based on results and comparisons, following conclusions are obtained;  Cooling capacity increases with increase in mass flow rate of air and coolant.  Reduction in cooling capacity with the increase in inlet air temperature while cooling capacity increases with the increase in inlet coolant temperature.  The pressure drop also increases with the increase in air and coolant mass flow rate through radiator.  About 5% increment in cooling capacity with the use of nanofluid as coolant in Wavy fin heat exchanger as compared to Conventional coolant. However, a continued study in various aspects for a better design of the radiator are suggested as;  Experimental set up will be prepared for different fin geometry and comparison of this result will be done with experimental data. References [1.] Gunnasegaran, shuaib N.H., Abdul Jalala, M.F. and Sandhita {2012} „Numerical Study of Fluid Dynamic and Heat Transfer in a Compact Heat Exchanger Using Nanofluids‟, ISRN Mechanical Engineering , Vol.2012, Article ID 585496. [2.] K.Y. Leong, R. Saidur, S.N. Kazi and A. H. Mamun, {2010} „Performance investigation of an automotive car radiator operated with nanofluid – based coolants (nanofluid as a coolant in a radiator)‟, Applied Thermal Engineering, Vol. 30, pp. 2685-2692. [3.] R. Tarodiya, J. Sarkar and J. V. Tirkey {2012} „Preformance of flat fin tube automotive radiator using nanofluids as coolants, Emerging trends in mechanical engineering ETME 422-429. [4.] R. Strandberg and D.K. Das {2010} „Finned tube performance evaluation with nanofluids and conventional heat transfer fluids‟, International Journal Thermal Sciences, Vol. 49, pp. 580-588. [5.] R. S. Vajjha, D.K. Das, and P. K. Namburu, P.K.{2010} „Numerical Study of fluid dynamic and heat transfer performance of Al2O3 and Cu O nanofluids in the flat tubes of a radiator‟, International Journal Heat fluid Flow, Vol. 31, pp. 613- 621. 0 100 200 300 400 500 600 0 0.1 0.2 0.3 0.4 Pressure(Pa) Tube length (m) nano fluid
  • 10. Vishwa Deepak Dwivedi Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 1), January 2015, pp.17-26 www.ijera.com 26|P a g e [6.] Deepak Chintakayal and Rajamanickam C S {2013} „CFD analysis of fluid flow and heat transfer of an automotive radiator with nanofluid‟, Auto Vertical, L& T IES. [7.] Adnan M. Hussein, R. K. Bakar, K. Kadirgama and K.V. Sharma {2014} „Heat transfer enhancement using nanofluids in an automotive cooling system‟, International communications in heat and mass transfer Vol. 53, pp. 195-202. [8.] Vahid Delavari and Seyed Hassan Hashemabadi {2014} „CFD simulation of heat transfer enhancement of Al2O3/water and Al2O3/ethylene glycol nanofluids in a car radiator‟ Applied Thermal Engineering, Vol. 73, pp. 378-388.