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International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705
www.rsisinternational.org Page 56
Enhancement of Heat Transfer in Heat Pipes using
Al2O3/Benzene Based Nano-coolants
Bharti Yadav1
, Ashutosh Samadhiya2
, Deepak Kumar Yadav3
1
M. Tech Scholar, Mechanical Department, RAMA University, Kanpur, Uttar Pradesh, India
2
Assistant Professor, Mechanical Engineering Department, RAMA University, Kanpur, Uttar Pradesh, India
3
Assistant Professor, Mechanical Engineering Department, Naraina College of Engineering & Technology, Kanpur
Abstract— Nowadays, the world is experiencing many
challenges in solving heat transfer issues in various engineering
systems. However, limited approaches are available to solve
such challenges. To increase heat transfer, many researchers
found that the Nanofluid is one of the feasible coolant which
increase the working efficiency of many engineering devices.
Electronic equipment dissipates enormous amount of heat
while in operation which directly affect the work efficiency. To
increase the efficiency it is mandatory to remove the heat by
using proper coolant. Hence, the heat pipes are employed in
electronic devices to remove the heat. To enhance the heat
transfer in heat pipe nano-coolants may be used. In this
present work, thermophysical properties of different types of
base fluids with Aluminium oxide (Al2O3) Nanoparticles have
been investigated with different concentrations of
Nanoparticles (1-5 % by volume) at 300K temperature. The
effective thermal conductivity of Nanofluids is compared with
the base fluid and the results show enhancement in thermal
conductivity. The thermal conductivity of Nanofluid is
increased up to 3% at 300K with 1 % by volume concentration
of nanoparticles and 15% at 5% by volume of concentration as
compared to Benzene (C6H6) base fluid.
Keywords- Heat Transfer, nano-fluid, Heat pipe,
Thermophysical properties.
I. INTRODUCTION
n a recent years, the amount of heat dissipated by the
industries, high speed engines, transportation applications,
manufacturing, microelectronic and defense applications has
drastically increased which adversely affect the working
efficiency of the instruments. In Cheol Bang et al [1]
reported that the Nanofluids have poor heat transfer
performance as compared to pure water in natural
convection. Farooq U et al [2] investigated on the two layers
vertical channels with Non-Newtonian fluid having different
properties as compared to clear fluid at each layer. Heat
transfer characteristics in double tube heat exchanger are
water increased with the increase in the mass flow rate and
also with Dean Number. Fairly stable Nanofluid is prepared
by Madusree Kole et al [4] using prolonged ultrasonication
(>60 hrs) process and thermal conductivity of Nanofluid is
investigated. Moreover, stable Cu-distilled water Nanofluid
and at different inclination of wick heat pipe was also
prepared [5].
In addition, Cluster formation and the role of interfacial layer
on the effective thermal conductivity ofCu- gear oil Nanofluid
is studied in the past [6]. Viscosity of ZnO-ethylene glycol
(EG) is changed from Newtonian to Non-Newtonian at higher
concentrations and hence the viscosity of ZnO-EG was found
to be independent of ZnO Nanoparticles [7]. The nucleate
pool boiling heat transfer characteristics and critical heat flux
(CHF) of Nano-fluid was also investigated [8, 14]. When the
concentration of nanoparticles increases, CHF also increases,
which means CHF depends on Nanoparticles and not on
Nanofluid [9]. Enhancement of carbon dioxide (CO2)
absorption in methanol-based Nanofluid is examined by Jae
Won Lee et al[10]and also it was perceived that the PH
variation is associated with the absorption of CO2. Arttu
Meriläinen et [11]reported that small, spherical and smooth
particles are better in enhancing heat transfer with reasonable
pressure losses. In hollow fiber membrane contactor,
absorption performance of carbon nanotube (CNT) based
Nano-fluid is higher than silica based Nano-fluid and
absorption efficiency of Nano-fluids decrease with increasing
in temperature [12]. Agarwal et al [13] investigated Kerosene-
alumina Nano- fluid for thrust chamber cooling in a
semicryogenic rocket engine. Different types of Non-
Newtonian Nanofluid is prepared and enhancement in thermal
conductivity is measured experimentally [15]. Rheological
behavior of Nanofluid is examined by Xiaoke Li et al [16] and
thermal conductivity of heterogeneous mixture having
continuous and a discontinuous phase was investigated by
Hamilton R.L. et al [17]. Further, cooling of transformer using
Nanofluid was reported by Dondapati et al [18].Conventional
heat transfer fluids have extremely poor the present work
the heat transfer enhancement using Nanofluid in heat pipe is
considered.
II.PROBLEM SPECIFICATION AND RESULTS
In the present study the effective thermal conductivity of
Nanofluids is investigated by using various theoretical and
experimental correlations. First of all, thermal conductivity of
six base fluid at 250
C and 0.8 Mpa pressure has been
evaluated and compared with each other. The investigated
thermal conductivity of the different base fluids is shown in
the table [2].
I
International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705
www.rsisinternational.org Page 57
The figure [1] shows that the thermal conductivity of benzene
base fluid is higher than other base fluids. The thermal
conductivity of benzene is found to be 0.14781W/m-K.
The thermal conductivity Aluminium dioxide is 36 W/m-K.
1 to 5% by volume of Nanoparticle is mixed in benzene,
Toluene, 1-octene, Ethylbenzene, Cyclohexane and 1-
Nonene base fluids. Effective Thermal Conductivity is
calculated by using different correlations available in the
literature [19].
keff effective thermal conductivity( W/m.K)
kp Thermal conductivity of particle(W/m.K)
k Thermal conductivity if base fluid(W/m.K)
Φ Concentration of nanoparticles(in %)
T Temperature (K)
Table 1 Different Theoretical and Experimental correlations of Thermal conductivity
Model Reference Year Correlation Relevant information
Theoretical Maxwell [19] 1881

Liquid and Solid Suspension
Spherical Particles
Hamilton
and Crosser
[19]
1962
=4.97Φ2
+2.72Φ+1
Where  100 , n  3
Spherical and Non-Spherical
Particles Micro-dimension
Wasp [19] 1977

Various Particle shape
Lu and Lin
[19]
1996
for:k 10,a  2.25,b  2.27
for :k  ∞,a  3.00,b  4.51
Xue [19] 2005
( )
( )
 Nanospheres with interfacial shell
Experimental
Li and
Peterson [19]
2006
Al2O3/Water Nanofluids
CuO/Water Nanofluids
Timofeeva et
al [19]
2007 1+3Φ) Al2O3/Water Nanofluids
Duangthongs
u and
Wongwises
[19]
2009 = a + bΦ
a 1.0225,b  0.0272at :T 15C
a 1.0204,b  0.0249at:T  25Ca
1.0139,b  0.0250at:T  35C
Godson et al
[19]
2010
EG/Water Nanofluids
Ag/Water Nanofluids
III.THERMAL CONDUCTIVITY OF BASE FLUID
Base Fluid Thermal Conductivity
Benzene(C6H6) 0.14781
Toluene(C7H8) 0.13391
I-Octane(C8H18) 0.12928
Ethyl benzene(C6H10) 0.12947
Cylohexane(C6H12) 0.1261
Nonene(C9H18) 0.11832
Figure 1.Comparison of thermal conductivity of different type of Base fluids
International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705
www.rsisinternational.org Page 58
The variation in Keff at different concentration of Nanoparticle
Is shown in figure 2 by Maxwell correlation [19].Similarly
Hamilton and Crosser correlation is also used to find the Keff of
the Nanofluid in the figure 3[19].
IV.THEORETICAL CORRELATION
Variation in keff at different concentration of Al2O3 Nanoparticle
Figure 2.Variation in keff at different concentration of Al2O3 nano particles by
Maxwell Correlations
Figure 3.Variation in keff at different concentration of Al2O3 nano particles by
correlation Hamilton and Crosser correlation
Figure 4.Variation in keff at different concentration of Al2O3 nano particles by
correlation Wasp correlation
Figure 5.Variation in keff at different concentration of Al2O3 nano particles by
correlation Lu and Lin correlation
0.11
0.12
0.13
0.14
0.15
0.16
0.17
0.18
0 0.02 0.04 0.06
Benzene+Aluminium Oxide
Toluene+Aluminium Oxide
I-Octene+Aluminium Oxide
Ethyl Benzene+Aluminium Oxide
Cyclo Hexane+Aluminium Oxide
I-Nonene+Aluminium Oxide
0.11
0.12
0.13
0.14
0.15
0.16
0.17
0.18
0 0.02 0.04 0.06
Benzene+Aluminium Oxide
Toluene+Aluminium Oxide
I-Octene+Aluminium Oxide
Ethyl Benzene+Aluminium Oxide
Cyclo Hexane+Aluminium Oxide
I-Nonene+Aluminium Oxide
0.11
0.12
0.13
0.14
0.15
0.16
0.17
0.18
0 0.02 0.04 0.06
Benzene+Aluminium Oxide
Toluene+Aluminium Oxide
I-Octene+Aluminium Oxide
Ethyl Benzene+Aluminium Oxide
Cyclo Hexane+Aluminium Oxide
I-Nonene+Aluminium Oxide
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0 0.02 0.04 0.06
BEZENE+ALUMINIUM OXIDE
TOLUENE+ALUMINIUM OXIDE
OCTANE+ALUMINIUM OXIDE
ETHYL BENZENE+ALUMINIUM OXIDE
CYCLOHEXANE+ALUMINIUM OXIDE
NONENE+ALUMINIUM OXIDE
International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705
www.rsisinternational.org Page 59
Figure 6.Variation in keff at different concentration of Al2O3 nano particles
by correlation Xue correlation
V. EXPERIMENTAL CORRELATIONS
Figure 7.Variation in keff at different concentration of Al2O3 nano particles by
correlation Li and Peterson correlation
Figure 8.Variation in keff at different concentration of Al2O3 nano particles
by correlation Timofeeva correlation
Figure 9.Variation in keff at different concentration of Al2O3 nano particles by
correlation Duangthongs u and Wongwises correlation.
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0 0.02 0.04 0.06
BENZENE+ALUMINIUM OXIDE
TOLUENE+ALUMINIUM OXIDE
OCTANE+ALUMINIUM OXIDE
ETHYLBENZENE+ALUMINIUM OXIDE
CYCLOHEXANE+ALUMINIUM OXIDE
NONENE+ALUMINIUM OXIDE
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0 0.02 0.04 0.06
BENZENE+ALUMINIUM OXIDE
TOLUENE+ALUMINIUM OXIDE
I-OCTENE+ALUMINIUM OXIDE
ETHYL BENZENE+ALUMINIUM OXIDE
CYCLO HEXANE+ALUMINIUM OXIDE
I-NONENE+ALUMINIUM OXIDE
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0 0.02 0.04 0.06
BENZENE+ALUMINIUM OXIDE
TOLUENE+ALUMINIUM OXIDE
I-OCTENE+ALUMINIUM OXIDE
ETHYL BENZENE+ALUMINIUM OXIDE
CYCLO HEXANE+ALUMINIUM OXIDE
I-NONENE+ALUMINIUM OXIDE
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0 0.02 0.04 0.06
BENZENE+ALUMINIUM OXIDE
TOLUENE+ALUMINIUM OXIDE
OCTANE+ALUMINIUM OXIDE
ETHYLBENZENE+ALUMINIUM OXIDE
CYCLOHEXANE+ALUMINIUM OXIDE
NONENE+ALUMINIUM OXIDE
International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705
www.rsisinternational.org Page 60
Figure 10 .Variation in keff at different concentration of Al2O3 nano particles
by correlation Godson correlation.
TABLE III. Thermal Effectiveness at Different Concentration
of Nanoparticles
NAME Φ Keff(W/m-K)
Maxwell 0.01 0.152234
0.05 0.170848
Hamilton&Crosser 0.01 0.152234
0.05 0.170848
Wasp 0.01 0.152234
0.05 0.170848
Lu and Lin 0.01 0.151169
0.05 0.165277
Xue 0.01 0.150795812
0.05 0.163362198
Li and Peterson 0.01 0.1493376
0.05 0.1538547
Timofeeva et al 0.01 0.1522443
0.05 0.1699815
Duangthongsu and
wongwises
0.01 0.150862128
0.05 0.151009347
Godson et al 0.01 0.14197032
0.05 0.14770062
In the table 2, four experimental correlations are also given which
represent the approximately same value of Keff. Li and Peterson
[19] gave two different correlation which are shown in the table
2.The first correlation is used for Al2O3/Water Nanofluids and
second correlation is used for CuO/Water Nanofuids . The first
correlation (Al2O3/Water) has been consideration with the
C6H6/TiO2 Nanofliud which is displayed in the figure 8. Figure 9
shows experimental correlation which is given by Timofeeva etal
[19] . Duangthongsu and Wongwises correlation , large
deflection is shown in figure 10 compared to all figure .
Similarly, Godson et al also gave the same result in figure 11.
The calculated value of Keff by those correlation of C6H6/TiO2
Nanofliud is given in the table 3. In table 3 Keff at 1% and at 5%
is shown, which shown which shown that the value of Keff
increases at higher concentration of Nanoparticles. As the
concentration increases the thermal conductivity also increases.
V. CONCLUSIONS
Our analytical results show that addition of TiO 2 nanoparticles
in Benzene base fluid increases the thermal effectiveness of the
Nanofluid. At 1% by volume , addition of Titanium Dioxide
Nanoparticles the thermal effectiveness of Nanofluid is increased
by 3% similarly, it has been seen that at 5% by volume 15% of
thermal effectiveness of Nanofluid is increased. Experimental
correlations are also given on which thermal effectiveness of
Nanofluid is found which give simpler result as theoretical one.
REFERENCES
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performance and phenomena of Al203-water nano-fluid from a
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[3]. Huminic, G., & Huminic, A. (2011). Heat transfer characteristics
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[4]. Kole, M., & Dey, T.K. (2012). Effect of prolonged ultrasonication
on the thermal conductivity of ZnO-ethylene glycol nanofluids.
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[5]. Kole, M., & Dey, T. K. (2013) Thermal performance of screen
mesh wick heat pipes using water-based copper nanofluids.
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[6]. Kole, M., & Dey, T. K. (2011). Role of interfacial layer and
clustering on the effective thermal conductivity of CuO-gear oil
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[7]. Kole, M., & Dey, T. K. (2012). Thermophysical and pool Boiling
characteristics of ZnO-ethylene glycol nanofliud. International
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[8]. Kole, M., & Dey , T. K. (2012). Investigations on the pool boiling
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0
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0.04
0.06
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0.1
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TOLUENE+ALUMINIUM OXIDE
OCTENE+ALUMINIUM OXIDE
ETHYLBENZENE+ALUMINIUM OXIDE
CYCLOHEXANE+ALUMINIUM OXIDE
NONENE+ALUMINIUM OXIDE
International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705
www.rsisinternational.org Page 61
[10]. Lee, J. W., Jung, J.-Y., Lee, S.-G., & Kang, Y. T. (2011). CO2
bubble absorption enhancement in methanol-based nanofluids.
International Journal of Refrigeration, 34(8), 1727–1733
[11]. Meriläinen, A., Seppälä, A., Saari, K., Seitsonen, J., Ruokolainen,
J., Puisto, S., … Ala-Nissila, T. (2013). Influence of particle size
and shape on turbulent heat transfer characteristics and pressure
losses in water-based nanofluids. International Journal of Heat
and Mass Transfer, 61, 439–448.
[12]. Golkhar, A., Keshavarz, P., & Mowla, D. (2013). Investigation of
CO2 removal by silica and CNT nanofluids in microporous hollow
fiber membrane contactors. Journal of Membrane Science, 433,
17–24.
[13]. Agarwal, D. K., Vaidyanathan, A., & Sunil Kumar, S. (2013).
Synthesis and characterization of kerosene–alumina nanofluids.
Applied Thermal Engineering, 60(1-2), 275–284.
[14]. Soltani, S., Etemad, S. G., & Thibault, J. (2010). Pool boiling heat
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Enhancement of Heat Transfer in Heat Pipes using Al2O3/Benzene Based Nano-coolants

  • 1. International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705 www.rsisinternational.org Page 56 Enhancement of Heat Transfer in Heat Pipes using Al2O3/Benzene Based Nano-coolants Bharti Yadav1 , Ashutosh Samadhiya2 , Deepak Kumar Yadav3 1 M. Tech Scholar, Mechanical Department, RAMA University, Kanpur, Uttar Pradesh, India 2 Assistant Professor, Mechanical Engineering Department, RAMA University, Kanpur, Uttar Pradesh, India 3 Assistant Professor, Mechanical Engineering Department, Naraina College of Engineering & Technology, Kanpur Abstract— Nowadays, the world is experiencing many challenges in solving heat transfer issues in various engineering systems. However, limited approaches are available to solve such challenges. To increase heat transfer, many researchers found that the Nanofluid is one of the feasible coolant which increase the working efficiency of many engineering devices. Electronic equipment dissipates enormous amount of heat while in operation which directly affect the work efficiency. To increase the efficiency it is mandatory to remove the heat by using proper coolant. Hence, the heat pipes are employed in electronic devices to remove the heat. To enhance the heat transfer in heat pipe nano-coolants may be used. In this present work, thermophysical properties of different types of base fluids with Aluminium oxide (Al2O3) Nanoparticles have been investigated with different concentrations of Nanoparticles (1-5 % by volume) at 300K temperature. The effective thermal conductivity of Nanofluids is compared with the base fluid and the results show enhancement in thermal conductivity. The thermal conductivity of Nanofluid is increased up to 3% at 300K with 1 % by volume concentration of nanoparticles and 15% at 5% by volume of concentration as compared to Benzene (C6H6) base fluid. Keywords- Heat Transfer, nano-fluid, Heat pipe, Thermophysical properties. I. INTRODUCTION n a recent years, the amount of heat dissipated by the industries, high speed engines, transportation applications, manufacturing, microelectronic and defense applications has drastically increased which adversely affect the working efficiency of the instruments. In Cheol Bang et al [1] reported that the Nanofluids have poor heat transfer performance as compared to pure water in natural convection. Farooq U et al [2] investigated on the two layers vertical channels with Non-Newtonian fluid having different properties as compared to clear fluid at each layer. Heat transfer characteristics in double tube heat exchanger are water increased with the increase in the mass flow rate and also with Dean Number. Fairly stable Nanofluid is prepared by Madusree Kole et al [4] using prolonged ultrasonication (>60 hrs) process and thermal conductivity of Nanofluid is investigated. Moreover, stable Cu-distilled water Nanofluid and at different inclination of wick heat pipe was also prepared [5]. In addition, Cluster formation and the role of interfacial layer on the effective thermal conductivity ofCu- gear oil Nanofluid is studied in the past [6]. Viscosity of ZnO-ethylene glycol (EG) is changed from Newtonian to Non-Newtonian at higher concentrations and hence the viscosity of ZnO-EG was found to be independent of ZnO Nanoparticles [7]. The nucleate pool boiling heat transfer characteristics and critical heat flux (CHF) of Nano-fluid was also investigated [8, 14]. When the concentration of nanoparticles increases, CHF also increases, which means CHF depends on Nanoparticles and not on Nanofluid [9]. Enhancement of carbon dioxide (CO2) absorption in methanol-based Nanofluid is examined by Jae Won Lee et al[10]and also it was perceived that the PH variation is associated with the absorption of CO2. Arttu Meriläinen et [11]reported that small, spherical and smooth particles are better in enhancing heat transfer with reasonable pressure losses. In hollow fiber membrane contactor, absorption performance of carbon nanotube (CNT) based Nano-fluid is higher than silica based Nano-fluid and absorption efficiency of Nano-fluids decrease with increasing in temperature [12]. Agarwal et al [13] investigated Kerosene- alumina Nano- fluid for thrust chamber cooling in a semicryogenic rocket engine. Different types of Non- Newtonian Nanofluid is prepared and enhancement in thermal conductivity is measured experimentally [15]. Rheological behavior of Nanofluid is examined by Xiaoke Li et al [16] and thermal conductivity of heterogeneous mixture having continuous and a discontinuous phase was investigated by Hamilton R.L. et al [17]. Further, cooling of transformer using Nanofluid was reported by Dondapati et al [18].Conventional heat transfer fluids have extremely poor the present work the heat transfer enhancement using Nanofluid in heat pipe is considered. II.PROBLEM SPECIFICATION AND RESULTS In the present study the effective thermal conductivity of Nanofluids is investigated by using various theoretical and experimental correlations. First of all, thermal conductivity of six base fluid at 250 C and 0.8 Mpa pressure has been evaluated and compared with each other. The investigated thermal conductivity of the different base fluids is shown in the table [2]. I
  • 2. International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705 www.rsisinternational.org Page 57 The figure [1] shows that the thermal conductivity of benzene base fluid is higher than other base fluids. The thermal conductivity of benzene is found to be 0.14781W/m-K. The thermal conductivity Aluminium dioxide is 36 W/m-K. 1 to 5% by volume of Nanoparticle is mixed in benzene, Toluene, 1-octene, Ethylbenzene, Cyclohexane and 1- Nonene base fluids. Effective Thermal Conductivity is calculated by using different correlations available in the literature [19]. keff effective thermal conductivity( W/m.K) kp Thermal conductivity of particle(W/m.K) k Thermal conductivity if base fluid(W/m.K) Φ Concentration of nanoparticles(in %) T Temperature (K) Table 1 Different Theoretical and Experimental correlations of Thermal conductivity Model Reference Year Correlation Relevant information Theoretical Maxwell [19] 1881  Liquid and Solid Suspension Spherical Particles Hamilton and Crosser [19] 1962 =4.97Φ2 +2.72Φ+1 Where  100 , n  3 Spherical and Non-Spherical Particles Micro-dimension Wasp [19] 1977  Various Particle shape Lu and Lin [19] 1996 for:k 10,a  2.25,b  2.27 for :k  ∞,a  3.00,b  4.51 Xue [19] 2005 ( ) ( )  Nanospheres with interfacial shell Experimental Li and Peterson [19] 2006 Al2O3/Water Nanofluids CuO/Water Nanofluids Timofeeva et al [19] 2007 1+3Φ) Al2O3/Water Nanofluids Duangthongs u and Wongwises [19] 2009 = a + bΦ a 1.0225,b  0.0272at :T 15C a 1.0204,b  0.0249at:T  25Ca 1.0139,b  0.0250at:T  35C Godson et al [19] 2010 EG/Water Nanofluids Ag/Water Nanofluids III.THERMAL CONDUCTIVITY OF BASE FLUID Base Fluid Thermal Conductivity Benzene(C6H6) 0.14781 Toluene(C7H8) 0.13391 I-Octane(C8H18) 0.12928 Ethyl benzene(C6H10) 0.12947 Cylohexane(C6H12) 0.1261 Nonene(C9H18) 0.11832 Figure 1.Comparison of thermal conductivity of different type of Base fluids
  • 3. International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705 www.rsisinternational.org Page 58 The variation in Keff at different concentration of Nanoparticle Is shown in figure 2 by Maxwell correlation [19].Similarly Hamilton and Crosser correlation is also used to find the Keff of the Nanofluid in the figure 3[19]. IV.THEORETICAL CORRELATION Variation in keff at different concentration of Al2O3 Nanoparticle Figure 2.Variation in keff at different concentration of Al2O3 nano particles by Maxwell Correlations Figure 3.Variation in keff at different concentration of Al2O3 nano particles by correlation Hamilton and Crosser correlation Figure 4.Variation in keff at different concentration of Al2O3 nano particles by correlation Wasp correlation Figure 5.Variation in keff at different concentration of Al2O3 nano particles by correlation Lu and Lin correlation 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0 0.02 0.04 0.06 Benzene+Aluminium Oxide Toluene+Aluminium Oxide I-Octene+Aluminium Oxide Ethyl Benzene+Aluminium Oxide Cyclo Hexane+Aluminium Oxide I-Nonene+Aluminium Oxide 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0 0.02 0.04 0.06 Benzene+Aluminium Oxide Toluene+Aluminium Oxide I-Octene+Aluminium Oxide Ethyl Benzene+Aluminium Oxide Cyclo Hexane+Aluminium Oxide I-Nonene+Aluminium Oxide 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0 0.02 0.04 0.06 Benzene+Aluminium Oxide Toluene+Aluminium Oxide I-Octene+Aluminium Oxide Ethyl Benzene+Aluminium Oxide Cyclo Hexane+Aluminium Oxide I-Nonene+Aluminium Oxide 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0 0.02 0.04 0.06 BEZENE+ALUMINIUM OXIDE TOLUENE+ALUMINIUM OXIDE OCTANE+ALUMINIUM OXIDE ETHYL BENZENE+ALUMINIUM OXIDE CYCLOHEXANE+ALUMINIUM OXIDE NONENE+ALUMINIUM OXIDE
  • 4. International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705 www.rsisinternational.org Page 59 Figure 6.Variation in keff at different concentration of Al2O3 nano particles by correlation Xue correlation V. EXPERIMENTAL CORRELATIONS Figure 7.Variation in keff at different concentration of Al2O3 nano particles by correlation Li and Peterson correlation Figure 8.Variation in keff at different concentration of Al2O3 nano particles by correlation Timofeeva correlation Figure 9.Variation in keff at different concentration of Al2O3 nano particles by correlation Duangthongs u and Wongwises correlation. 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0 0.02 0.04 0.06 BENZENE+ALUMINIUM OXIDE TOLUENE+ALUMINIUM OXIDE OCTANE+ALUMINIUM OXIDE ETHYLBENZENE+ALUMINIUM OXIDE CYCLOHEXANE+ALUMINIUM OXIDE NONENE+ALUMINIUM OXIDE 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0 0.02 0.04 0.06 BENZENE+ALUMINIUM OXIDE TOLUENE+ALUMINIUM OXIDE I-OCTENE+ALUMINIUM OXIDE ETHYL BENZENE+ALUMINIUM OXIDE CYCLO HEXANE+ALUMINIUM OXIDE I-NONENE+ALUMINIUM OXIDE 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0 0.02 0.04 0.06 BENZENE+ALUMINIUM OXIDE TOLUENE+ALUMINIUM OXIDE I-OCTENE+ALUMINIUM OXIDE ETHYL BENZENE+ALUMINIUM OXIDE CYCLO HEXANE+ALUMINIUM OXIDE I-NONENE+ALUMINIUM OXIDE 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0 0.02 0.04 0.06 BENZENE+ALUMINIUM OXIDE TOLUENE+ALUMINIUM OXIDE OCTANE+ALUMINIUM OXIDE ETHYLBENZENE+ALUMINIUM OXIDE CYCLOHEXANE+ALUMINIUM OXIDE NONENE+ALUMINIUM OXIDE
  • 5. International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VII, July 2017 | ISSN 2321–2705 www.rsisinternational.org Page 60 Figure 10 .Variation in keff at different concentration of Al2O3 nano particles by correlation Godson correlation. TABLE III. Thermal Effectiveness at Different Concentration of Nanoparticles NAME Φ Keff(W/m-K) Maxwell 0.01 0.152234 0.05 0.170848 Hamilton&Crosser 0.01 0.152234 0.05 0.170848 Wasp 0.01 0.152234 0.05 0.170848 Lu and Lin 0.01 0.151169 0.05 0.165277 Xue 0.01 0.150795812 0.05 0.163362198 Li and Peterson 0.01 0.1493376 0.05 0.1538547 Timofeeva et al 0.01 0.1522443 0.05 0.1699815 Duangthongsu and wongwises 0.01 0.150862128 0.05 0.151009347 Godson et al 0.01 0.14197032 0.05 0.14770062 In the table 2, four experimental correlations are also given which represent the approximately same value of Keff. Li and Peterson [19] gave two different correlation which are shown in the table 2.The first correlation is used for Al2O3/Water Nanofluids and second correlation is used for CuO/Water Nanofuids . The first correlation (Al2O3/Water) has been consideration with the C6H6/TiO2 Nanofliud which is displayed in the figure 8. Figure 9 shows experimental correlation which is given by Timofeeva etal [19] . Duangthongsu and Wongwises correlation , large deflection is shown in figure 10 compared to all figure . Similarly, Godson et al also gave the same result in figure 11. The calculated value of Keff by those correlation of C6H6/TiO2 Nanofliud is given in the table 3. In table 3 Keff at 1% and at 5% is shown, which shown which shown that the value of Keff increases at higher concentration of Nanoparticles. As the concentration increases the thermal conductivity also increases. V. CONCLUSIONS Our analytical results show that addition of TiO 2 nanoparticles in Benzene base fluid increases the thermal effectiveness of the Nanofluid. At 1% by volume , addition of Titanium Dioxide Nanoparticles the thermal effectiveness of Nanofluid is increased by 3% similarly, it has been seen that at 5% by volume 15% of thermal effectiveness of Nanofluid is increased. Experimental correlations are also given on which thermal effectiveness of Nanofluid is found which give simpler result as theoretical one. REFERENCES [1]. Bang, I. C., & Heung Chang , S. (2005). Boiling heat transfer performance and phenomena of Al203-water nano-fluid from a plain surface in a pool. International Journal of Heat and Mass Transfer, 48(12), 2407-2419. [2]. Farooq, U., Hayat, T., Alsaedi, A., & Liao, S. (2014). Heat and mass transfer of two-layer flows of third-grads nano-fluids in a vertical channel. Applied Mathematics and Computation, 242, 528-540. [3]. Huminic, G., & Huminic, A. (2011). Heat transfer characteristics in double tube helical heat exchanges using nanofluids International Journal of Heat and Mass Transfer, 54(19-20), 4280- 4287. [4]. Kole, M., & Dey, T.K. (2012). Effect of prolonged ultrasonication on the thermal conductivity of ZnO-ethylene glycol nanofluids. Thermachimica Acta, 535, 58-65. [5]. Kole, M., & Dey, T. K. (2013) Thermal performance of screen mesh wick heat pipes using water-based copper nanofluids. Applied Thermal Engineering, 50(1), 763-770. [6]. Kole, M., & Dey, T. K. (2011). Role of interfacial layer and clustering on the effective thermal conductivity of CuO-gear oil nanofluids. Experiment Thermal and Fluid Science, 35(7), 1490- 1495. [7]. Kole, M., & Dey, T. K. (2012). Thermophysical and pool Boiling characteristics of ZnO-ethylene glycol nanofliud. International Journal of Thermal Sciences , 62, 61-70. [8]. Kole, M., & Dey , T. K. (2012). Investigations on the pool boiling heat transfer and critical heat flux of ZnO-ethylene glycol nanofluids. Applied Thermal Engineering, 37,112-119. [9]. Sharma, V. L., Buongiorno, J., McKrell, T. J., & Hu, L. W.(2013). Ft Experimental investigation of transient critical heat flux of water-based zinc-oxide nanofluid. International Journal of Heat and mass transfer, 61,425-431. 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0 0.02 0.04 0.06 BENZENE+ALUMINIUM OXIDE TOLUENE+ALUMINIUM OXIDE OCTENE+ALUMINIUM OXIDE ETHYLBENZENE+ALUMINIUM OXIDE CYCLOHEXANE+ALUMINIUM OXIDE NONENE+ALUMINIUM OXIDE
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