Milad Jalali^{1}, Farhad Hekmatipour^{2}* and Vikash Agrawal^{1}*
^{1}School of Physics, Southeast University, China
^{2}International faculty DSTU, Department of Natural sciences, Don State Technical University, Russia
*Corresponding author: Vikash Agrawal, School of Physics, Southeast University, China Farhad Hekmatipour, Department of Natural sciences, Don State Technical University, Russia
Submission: April 05, 2021;Published: April 20, 2021
ISSN: 2576-8847
Volume 15 Issue 1
The effects of using copper oxide-thermal oil on convective heat transfer and pressure drop in a downward flow in an inclined microfin tube are investigated experimentally in this research project. The flow regime and wall temperature are laminar and constant, respectively. The effects of nanofluid, Graetz number, Prandtl number, negative and positive inclination angles, on convective heat transfer augment moderately as nanoparticles mass concentration increases. Correlations are advisable to anticipate Nusselt number and Darcy friction factor in upward and downward single-phase flow in microfin tube under constant wall temperature and laminar flow in inclined plain and finned tubes. The maximum aberration is lower than 21% which is acceptable to predict experimental data. In this paper, we found that the heat ratio matches the pumping ratio. It turns out that, if the increment of pressure drop is more than heat transfer enhancement, it will not be appropriate to use CuO-thermal oil, negative inclination angles and microfin tube. The maximum FOM was 64%, which, was calculated with 1.5% nanoparticles mass concentration and inclination angle 60º at Prandtl number 349 in microfin tube.
Keywords: Nanofluid; Pressure drop; Convective heat transfer; Upward and downward flow; Friction factor; Laminar flow
The improvement of thermal conductivity and convective heat transfer can be influential on the declination of heat losses and fuel consumption in heat exchangers in industrial applications such as microelectronics, petrochemical, oil and gas, and air-conditioning. Indeed, if advanced methods are applied to improve convective heat transfer, the greenhouse gases emitted by manufacturers and buildings will decrease dramatically in the future. Therefore, we can prevent or at least hinder global warming. Over the last 100 years of investigation, several mechanical methods have been applied to enhance convective heat transfer in inclined tubes. The prediction of mixed convection heat transfers in vertical [1-3], horizontal [4-6] and inclined tubes [7-9]. It is reported that the inclination angle may be effective on the enhancement of combined free and natural convection heat transfer in inclined tubes [1-3,7-9]. It is shown that mixed convection heat transfer augments with the increase in inclination angle and the best results can be achieved at an angle of 60º [7].
Due to the low thermal conductivity of normal fluids, e.g., water, glycol solution, and oil; the main convection heat transfer and Nusselt number are shown to be really low. It is acceptable to add nanoparticles to the based fluid since nanoparticles help to improve the efficacy of fluids. Indeed, the thermal-rheological properties of fluid may enhance significantly when nanoparticles are added to the base fluids. During the three last decades, most of the investigations were focused on improvement of thermal conductivity and convective heat transfer of nanofluids in different tubes [10-21]. It is obvious that the application of nanofluids as working fluids is useful in industrial applications since the use of nanofluids can be influential on the enhancement of thermal conductivity. Since the augmentation of thermal conductivity affects the improvement of convection heat transfer, it can reduce the heat losses in heat exchangers in cooling and heating systems [10-21]. According to the thermal rheological properties of nanofluids, many researchers have applied nanofluids to determine the amount of convective
heat transfer and the behaviour of nanofluids in different
circumstances as predicted. Most of these researchers used
nanofluid sand mechanical methods such as twisted tapes [22-
25], helical tubes [26-28], microfin tubes [29,30], and annulus
tubes [31,32]. The results of these investigations showed that the
convective heat transfer improves substantially when mechanical
methods and nanofluids are applied. It can be seen that twisted
tape is more effective than other mechanical methods due to
intensified creation of vortex flow in the tube and the declination
of the boundary layer [22-25]. Despite, a dramatic increase in
pressure drops and Darcy friction factor, when it is used twisted
tapes and nanofluid are observed.
These studies continue to determine the effect of using
a nanofluid and inclined tube on the improvement of mixed
convection heat transfer after nanofluids were introduced
as working fluid in different studies [33-37]. The results of
investigations illustrated that heat transfer can be improved by
adding nanoparticles to the base fluid and inclination angles.
It was reported that maximum mixed convection heat transfer
occurs at an angle of 30º and 60º [33,34]. It is also mentioned
that reverse flow can be effective on the augmentation of heat
transfer in inclined tubes [33-39].
The forced convection heat transfer is used in industrial
applications since the use of mixed convection heat transfer is not
economical. To determine the influence of adding nanoparticle to
base fluid and positive inclination angles on forced convection in
inclined plain and microfin tubes, this research is done to obtain
new correlations which are capable of predicting Darcy friction
factor and forced convection heat transfer in inclined tubes. The
wall temperature of the pipe is stable, and the flow rate is low
enough to certify that the flow regime stays laminar.
Nanofluid characteristics
In this experimental research, the average size of CuO nanoparticles and purity are 40nm and 99%, respectively. SEM (Scanning Electron Microscope) image of the nanoparticles is depicted in Figure 1. The shape of copper oxide nanoparticles was irregular. An ultrasonic UPS400 machine with a frequency of 24kHz and the power of 400W was applied to make a homogeneous product and a relatively stable nanofluid. The procurement of several thermal oil- copper oxide nanoparticle suspensions with the weight concentrations of 0.5%, 1%, and 1.5% was performed using a precise laboratory measurement. The nanofluids were fixed for 216 hours, the nanoparticles sedimentation started from 216hr and these particles were settled down totally for 14 days. Thermo-physical characteristics of the thermal oil and copper oxide nanoparticles are shown in Tables 1 & 2, respectively. Akhavan-Behabadi et al. [40] have described the thermophysical characteristics of nanofluids utilized in this paper.
Figure 1:SEM image of the copper oxide nanoparticles.
Experimental facilities
To perform the measurements of convective heat transfer and pressure drop of nanofluids, the assemblage of the experimental facility was set up and a schematic image of the experimental facility is presented in Figure 2. The circulation of flow has a different part including a test tube, pre-cooler, storage tank, heat exchanger, gear pump, flow meter, differential manometer, thermocouples, and flow control systems. The specification of tubes and the characteristics of nanofluids utilized in the experimental analysis are mentioned in Tables 1 & 2. In the experimental analysis, inclined, smooth and microfin pipes were employed and the comparison between the two kinds is pointed in Table 3. The gap time needed for the flow to change to steadystate was approximately 15 minutes and the gap time required for noting experimental data was 30 minutes.
Table 1:Thermo-physical characteristics of the Heat Transfer Oil (HTO).
Table 2:Thermo-physical characteristics of CuO nanoparticles.
Table 3:Specification of the circular and microfin pipes.
Figure 2:Schematic of the test setup.
The test tube is located in a steam tank that holds pipe wall temperature at 98 ºC. The glass- fiber insulation was applied to decrease the heat losses from the steam tank. Two stages were embedded to cool down the nanofluids. Initially, cooling water and a copper coil embedded in storage tank were used to decrease the temperature of nanofluids. To reduce the temperature of nanofluid flow, the shell and tube heat exchanger were utilized to reach 15 ºC temperature. By use of gear pump, cool nanofluid in the storage tank was circulated throughout the mainline. The gear pump use to produce a constant velocity. To adjust the flow rate in the mainline, a bypass line was embedded to alter the flow rate. Change of flow rate was done using a globe valve and some of the flow was strayed into the storage tank. The flow rate was kept always in the laminar regime. In the test section, four thermocouples were joined at specified intervals to measure the tube-wall temperature. Besides, two thermocouples were fitted inside and outside of the test section to measure the temperatures inside and outside of the surface.
Instruments
The measurement of the nanofluid temperature in the test
section inlet and outlet was made by using two RTD PT 100
adhered to thermometers which were utilized with the
accuracy of ±0.1 ℃. The assemblage of the RTD sensors was
done to sense the center temperature of the fluid at the inlet and
outlet temperature. The position of four K-type thermocouples
with the SU-105 KPR sensor had 100mm intervals T1 (100mm),
T2 (200mm), T3 (300mm), and T4 (400mm) to measure the temperature of wall tubes. The thermocouples were welded on
the outer wall tubes to prevent the effects of steam and nanofluid
on thermocouples.
The preliminary calculations showed that due to the low
thermal resistance of the copper tube wall compared to the
convective one, the temperature gradient in the tube wall is
negligible. The temperature of T1, to T4 are 98.1, 97.8, 98.0, and
98.1, respectively, which shows that the tube wall temperature is
almost constant.
The measurement of pressure drop was done by using A PMD-
75 pressure transmitter with an accuracy of ±0.075%. The flow
rate was measured by a 1000ml scaled separation funnel. The
measurement of flow rate was done with the filling funnel time
and by using a digital timer with an accuracy of 0.01s. Measuring
analytic uncertainty of convective heat transfer and pressure
drop was done according to the method of uncertainty in
experimental results [41,42] and it was obtained, using the data
in Table 4. Accordingly, the maximum aberration of the mean
convective heat transfer coefficient, the Nusselt number and
the figure of merit were 6.8%, 6.5%, and 6.7% respectively. The
formulation used to measure analytical uncertainty is presented
in the Appendix.
Table 4:Specification of the instruments.
The estimation of the heat transfer coefficient of nanofluid flow and pressure drop is calculated as follows, respectively:
'The calculation of the microfin hydraulic diameter tube is done [43] using the following rule:
(3)
Due to the anticipation of experiments and the acquisition of inaccurate Darcy friction factor and convective heat transfer Nusselt number of thermal oil in the horizontal circular pipe, a comparison between experiments’ outcome and prediction of Sider-Tate [44] and Hagen- Poiseuile [45] models, respectively has been provided. Figure 3 shows the contrast between empirical data and prediction numerical models. The difference (disagreement) between empirical data and the prediction of heat transfer and pressure drop models are approximately 13% and 11%, respectively. The aberration of empirical data and classical models are suitable.
Figure 3:Comparison of the experimental data with the classic equations: (a) Nusselt number Darcy; (b) friction factor.
Pressure drop
Plain tube: Hydraulic development-length which is extremely effective on the shape of flow and flow regime is acquired from 𝐿_{e}<0.058𝑅𝑒_{d}. 𝑑. The maximum hydraulic development length is 0.399m. The results for Darcy friction factor of copper oxidethermal oil nanofluid flow in upward and downward flow in the inclined plain tube is plotted in Figure 4. The increment of Graetz number, nanoparticle mass concentration and inclination angle can be influential on the growth of Darcy friction factor. The declination of the boundary layer and surge in Darcy friction factor is due to nanoparticles’ Brownian motion and formation of vortex flow in inclined plain tube. Another reason is the expansion of velocity profile and wall stress sharing. The influence of changing density and the increment of mass concentration on the improvement of heat transfer is accepted. Therefore, the increment of Darcy friction factor ratio is calculated to be approximately 48%. The lack of classical correlation causes the inability to anticipate the result of Darcy friction factor of nanofluid in inclined plain tube. To predict the influence of using nanofluid and positive inclination angle on Darcy friction factor in a plain tube, a new correlation is introduced based on empirical information which is acquired from experiments. Indeed, most of the correlations are presented based on Rayleigh number and Richardson number; although, this equation is obtained based on Graetz number. This is because it is popular to use forced convection in industrial usages. The advisable correlation is demonstrated to estimate the friction factor of copper oxide-thermal oil flow in an inclined plain tube. It is as follows:
(4)
Figure 4:The influence of using CuO nanoparticles on the Darcy friction factor of the nanofluid flow in the inclined plain pipes based on the Darcy friction factor(α= 270, 330 300, 0, 30, 60, 90).
The equation evaluates for 0<𝜑<1.5%, 0<𝜃<90 & 270<𝜃<0, 200<𝑅𝑒<800, 320<𝑃𝑟_{nf}<402, 1080<𝐺𝑧<3600. The terms, positive inclination angle, nanoparticle mass concentration, Reynolds number, dynamic viscosity ratio is acquired by Darcy friction factor of copper oxide-thermal oil nanofluid. The comparison between experimental results and predicted results based on Eq. 4 is presented in Figure 5. It is seen that the maximum deflection of experimental results is almost 20%. Thus, the advisable equation can be used for anticipation of experimental Darcy friction factor. This useful correlation can be useful because of nanoparticles’ mass concentration. Graetz number, positive inclination angle, and dynamic viscosity ratio are applied to introduce an equation. The classical correlations are not eligible to predict the result of using nanoparticles and inclination angle in plain tube. Therefore, it is important to introduce a new equation in upward and downward single-phase flow in the inclined plain tubes.
Figure 5:Comparison of the experimental Darcy friction factor of the nanofluid flow with the prediction of Eq. (4) inside inclined plain pipe (α= 270, 330 300, 0, 30, 60, 90).
Microfin tube: In order to determine the hydraulic development-length which is extremely effective on the shape of flow and flow regime, hydraulic development-length is acquired from 𝐿e<0.058𝑅𝑒d𝑑. The maximum hydraulic development-length calculated to be 0.41m. The result of Darcy friction factor of copper oxide-thermal oil nanofluid flow in upward and downward flow in inclined microfin tube is plotted in Figure 6. The increment of Graetz number, nanoparticle mass concentration and inclination angle can be influential on the growth of Darcy friction factor. The decrease of the boundary layer and the increment of Darcy friction factor are happened because of the creation of the nanoparticle Brownian motion and formation of vortex flow in the inclined microfin tube. Another reason may be the expansion of velocity profile and sharing wall stress. The influence of changing density on the increment of mass concentration and the improvement of heat transfer is accepted. Therefore, the increment of Darcy friction factor is approximately 64%.
Figure 6:The influence of using CuO nanoparticles on the Darcy friction factor of the nanofluid flow in the inclined microfin pipes based on the Darcy friction factor (α=270, 330 300, 0, 30, 60, 90).
There is no classical correlation to anticipate the result of Darcy friction factor nanofluid in inclined microfin tube. To predict the influence of using nanofluid and positive inclination angle on Darcy friction factor in microfin tube, a new correlation is introduced based on empirical information and that is acquired from experiments. Indeed, most of the correlations presented are based on Rayleigh number and Richardson number; although, this equation is obtained based on Graetz number. This is because it is popular to use forced convection in industrial usages. The advisable correlation is demonstrated to estimate the friction factor of copper oxide-thermal oil flow in an inclined microfin tube. It is as follows:
(5)
The equation evaluates for 0<𝜑<1.5%, 0<𝜃<90, 270<𝜃<0, 200<𝑅𝑒<800, 300<𝑃𝑟_{nf} <402, 1080<𝐺𝑧<3600. The use of positive inclination angle, nanoparticle mass concentration, Reynolds number, dynamic viscosity ratio is acquired by Darcy friction factor of copper oxide-thermal oil nanofluid. The comparison between experimental results and predicted results based on Eq. 5 is presented in Figure 5. It is seen that the maximum deflection of experimental results is almost 21%. Thus, the advisable equation can be used for the anticipation of the experimental Darcy friction factor. This is a workable equation because of gaining weight concentration, Graetz number, positive inclination angle, and the dynamic viscosity ratio. The lack of workable classical equations is proven since they do not predict the result of using nanoparticles and inclination angle in microfin tube. Hence, it is weighty to introduce equations in upward and downward single-phase flow in the inclined microfin tubes.
Heat transfer
Plain tube: The estimation of thermal development-length of nanofluid should be presented due to the determination of the flow regime and flow shape. The estimation is conducted utilizing thermally development-length 𝐿_{e}<0.058𝑅𝑒𝑃𝑟. The minimum value of thermally development-length is Although it is confirmable that the use of nanofluid and plain pipe can be effective on convective heat transfer, the effects of negative inclination angle, nanofluid and plain tube on heat transfer are not determined in prior literature. Figure 5 shows that maximum Nusselt number is obtained into nanoparticle mass concentration 1.5%, the inclination angle of 30º, and Graetz number. The adjustment of angles and nanoparticles Brownian motion can affect flow shape or it can build the vortex flow. This is because the boundary flow decreases in upward and downward single-phase flow in inclined plain pipes. By using empirical data, an equation is introduced to predict the effects of nanofluids, positive inclination angle on convective heat transfer in inclined pipes as follows
(6)
The correlation evaluates for 0<𝜑< 1.5%, 0<𝜃<90, 270<𝜃<0, 200<𝑅𝑒<800, 300<𝑃𝑟_{nf} <405, 1100<𝐺𝑧<3800. The comparison between the empirical results with estimated Eq. (6) is shown in Figure 7. The maximum aberration of the experimental information is almost 20%. The inaccuracy of the correlation is acceptable to be used for the anticipation of convective heat transfer in upward and downward single-phase flow in inclined plain pipes.
Figure 7:Comparison of the experimental Darcy friction factor of the nanofluid flow with the prediction of Eq. (5) inside inclined microfin pipe (α= 270, 330 300, 0, 30, 60, 90).
Figure 8:The influence of using CuO nanoparticles on the Nusselt number of the nanofluid in downward singlephase flow in inclined plain pipes (α= 270, 330 300, 0, 30, 60, 90).
Figure 9:Comparison of the experimental forced convective heat transfer of the nanofluid flow with the prediction of Eq. (6) in inclined plain pipe (α= 270, 330 300, 0, 30, 60, 90).
Microfin tube: The estimation of thermal development-length of nanofluid should be presented due to the determination of the flow regime and flow shape. The estimation is conducted using thermal development-length 𝐿e<0.058𝑅𝑒𝑃𝑟. The minimum value of thermally development-length is 42m. The effects of nanofluid, microfin pipe, negative inclination angle on heat transfer is not determined in prior literature. Figure 10 shows that the maximum Nusselt number in nanoparticle mass concentration to be 1.5%, inclination angle of 30º, and Graetz number. The adjustment of angles and nanoparticles Brownian motion can affect flow shape or it can build the vortex flow. It is recognizable by changing the angle of tube and fluid in inclination that the boundary flow will change in upward and downward single-phase flow in the inclined microfin pipes. Using practical data, an equation is offered to show the effects of nanofluids, positive inclination angle on convective heat transfer in inclined pipes. It is as follows:
(7)
The correlation were obtained for <𝜑<1.5%, 0<𝜃<90, 270<𝜃<0, 200<𝑅𝑒<800, 300<𝑃𝑟_{n}_{f} <405, 1100<𝐺𝑧<3800. The comparison between the empirical results and estimated Eq. (7) is shown in Figure 11. The maximum aberration of the experimental information is almost 21%. The inaccuracy of the correlation is acceptable to use for anticipation of convective heat transfer in upward and downward single-phase flow in inclined microfin pipes.
Figure 10:The influence of using CuO nanoparticles on the Nusselt number of the nanofluid in downward single-phase flow in inclined microfin pipes (α= 270, 330 300, 0, 30, 60, 90).
Figure 11:Comparison of the experimental forced convective heat transfer of the nanofluid flow with the prediction of Eq. (7) in inclined plain pipe (α= 270, 330 300, 0, 30, 60, 90).
Figure of merit
Accompanying convective heat transfer with the boom in pressure drop should be acquired due to introducing the effects of the augmentation of pressure drop on heat transfer enhancement, the FOM is introduced here [46,47]:
(8)
The FOM is introduced to estimate empirical information, which is acceptable to be suggested for industrial uses. The FOM defines the ratio of increasing convective heat transfer with experimental pumping power. The impact of nanofluid and positive inclination angles in inclined plain, finned pipes on convective heat transfer and pressure drop are presented at the same time. If the FOM to be more than a unit, the impact of nanofluids, positive inclination angle, plain and finned pipe will be useful. Figure 12 & 13 illustrate the combination of nanofluid, finned tube, and the positive inclination angle, enhance the convective heat transfer in plain and microfin tube about 63% and 59%, respectively, which can be seen at nanoparticles’ mass concentration which is 1.5% and inclination angles of 300º and 60º. The FOM in microfin tube is lower than the plain tube since Darcy friction factor and pressure drop in microfin tube are more than the plain tube. Another reason may be the attenuation of nanoparticles’ Brownian motion in finned tube. This is because vortex flow, which is created in microfin tube has a significant role in improving convective heat transfer in microfin tube and the reduction of the boundary layer. As a result, the effect of nanofluid on heat transfer attenuates in finned tubes [48].
Figure 12:The FOM of HTO-CuO nanofluid flow in inclination tubes based on base fliud in plain tube and Eq. (8): a) plain tube b) microfin tube.
The adaptation of Darcy friction factor of nanofluid in upward and downward single-phase flow in inclined plain and microfin tube is small. This is due to the anti-friction characteristics of copper oxide. The friction factor declines due to the replacement of the friction mode from the sliding mode to the rolling mode. The roller impact has already been defined in the literature [8].
The influence of copper oxide-thermal oil nanofluid on
convective heat transfer and pressure drop in upward and
downward single-phase flow in inclined microfin tube is
investigated empirically in this article. The limited area of
nanoparticle mass concentration and positive inclination
angle take values from 0% to 1.5%, 0º to 90º and 270º to 0º,
respectively. The result of experimental research in upward
and downward single-phase flow in inclined tubes shows that
convective heat transfer and pressure drop augment with a surge
in the nanoparticles mass concentration of 0% to 1.5%, Prandtl
number of 300 to 405, and Graetz number from 1080 to 3800.
New correlations are introduced to anticipate the influence
of nanofluid under constant wall temperature, upward and
downward flow on heat transfer and pressure drop in inclined
finned tube. The results of the equations are acceptable due to
the maximum deflection of experimental results. The maximum
deflection is lower than 21%. The augmentation of heat transfer
and pressure drop is due to the declination of the boundary layer,
the increment of constant velocity and nanoparticle Brownian
motion. This will be influential on the forming of vortex and share
wall stress. Therefore, the convective heat transfer and pressure
drop are increased due to using nanofluid, the downward and
upward single-phase flow in inclined plain and microfin tubes.
In order to define the effects of nanofluid and positive
inclination angle which are useful in industrial usages, the
accompaniment of heat transfer enhancement with the boom in
pressure drop is performed. The results of computation illustrate
that utilization of nanofluid, positive inclination angles and
microfin tube have positive effects on heat transfer while pressure
drop rises slightly.
Based on Holman [32,33], if the parameter R depends on variables V1 to Vn which can be gauged with an uncertainty of UV1 to UVn, the overall uncertainty of R is:
From the definition of the performance index, Eq. (8), it can be concluded that:
© 2021 Farhad H, Vikash A. This is an open access article distributed under the terms of the Creative Commons Attribution License , which permits unrestricted use, distribution, and build upon your work non-commercially.