Abstract

Performance of organic oils in solar thermal collection is limited due to their low thermal conductivity when they are compared to molten salt solutions. Extraction of organic oils from plants can be locally achieved. The purpose of this study was to investigate the effect of use of copper nanoparticles in some base local heat transfer fluids (HTFs). Addition of volume fraction of 1.2% of the copper nanoparticles to oil-based heat transfer fluids improved their thermal conductivity as deduced from the thermal heat they conducted from solar radiation. The oil-based copper nanofluids were obtained by preparation of a colloidal solution of the nanoparticles. Impurities were added to increase the boiling point of the nano-heat transfer fluids. Stabilizers were used to keep the particles suspended in the oil-based fluids. The power output of the oil-based copper nano-heat transfer fluids was in the range of 475.4 W to 1130 W. The heat capacity of the steam in the heat exchanger was 93.7% dry and had a thermal capacity of 5.71 × 103 kJ. The heat rate of flow of the oil-based copper nano-heat transfer fluids was an average of 72.7 Js−1·kg−1 to 89.1 Js−1·kg−1. The thermal efficiency for the oil-based copper nano-heat transfer fluids ranged from 0.85 to 0.91. The average solar thermal solar intensity was in the range 700 Wm−2 to 1180 Wm−2. The heat exchanger used in this study was operating at 4.15 × 103 kJ and a temperature of 500.0°C. The heat transfer fluids entered the exchanger at an average temperature of 381°C and exited at 96.3°C and their heat coefficient ranged between 290.1 Wm−2°C and 254.1 Wm−2°C. The average temperatures of operation ranged between 394.1°C and 219.7°C with respective temperature efficiencies ranging between 93.4% and 64.4%. It was established that utilization of copper nanoparticles to enhance heat transfer in oil-based local heat transfer fluids can mitigate energy demand for meeting the world’s increasing energy uses, especially for areas inaccessible due to poor land terrain.

1. Introduction

Solar thermal collectors are used for solar thermal collection and some of their various applications include heating and cooling of houses, drying agriculture food materials, and water desalination processes. The heat collected by the oil-based nanofluids passing through the absorber was exchanged between the oil-based nano-HTFs and a secondary fluid in the heat exchanger. It was noted that when Darcy number and porosity diminishes, the crash between the fluid flow and the pores of the permeable screen increased [1], and in this manner the passing fluids gave more space to contact with the permeable media which have inward heat generation for heat transfer. Table 1 shows the acronyms, abbreviations, and subscripts used in this study.

The particles enhance certain properties of the fluid such as thermal conductivity and further study can reveal the nature of the observed enhanced conductivity. In this study, the copper nanoparticles in oil base gave a large volume-to-surface-area ratio for thermal transfer. The copper nanoparticles were prepared using chemical reduction procedure [2]. The particles of copper of size 28.55 nm were obtained. It was established that nanoparticles can be prepared in one-step process such as in the case of one-step synthesis system of preparing carbon/water nanofluid by use of plasma arch welding equipment [3]. Carbon nanotube nanoparticles can achieve thermal conductivity of 3000 W/mK and 2000 aspect ratio. Suspended nanoparticles enhanced the intended thermal conduction which led to superior performance due to their low momentum and improved mobility. The heat transfer mechanism in nanoparticle fluid-based substances takes place by micro convention mechanism. The stabilizing agents were used to ensure that the nanoparticles did not sediment; hence, the system did not clog. For instance, multi-walled carbon nanotubes suspended in engine oil increase conductivity 20,000 times [4]. It was observed that increasing the buoyancy ratio resulted in an increase in the local Nusselt number augments while the increase of Lewis number had an opposite influence on the Nusselt number as the convective heat transfer rate index [5].

A nanoparticle suspension can also be made in a two-step process involving synthesis of the particle powder and the dispersal of the particles in a fluid base [6]. This process is mostly used for industrial application. In Kenya, there are various types of seeds such as castor oil seeds, sunflower, coconuts, etc., whose oil is locally extracted. In this study, some local heat transfer oils were used as base for copper nanoparticles for the purpose of enhancing their thermal conductivity. Investigation of the use of the extracted oils with copper nanoparticles suspension for solar heat transfer was conducted. Oil-based copper nano-heat transfer fluids conveyed the heat from thermal collectors to a secondary fluid, in the heat exchanger, which vaporized to steam and drove a turbine. The availability of oil base for copper nanoparticles makes the nano-heat transfer fluids more affordable for power generation. Oils can be extracted affordably from raw material sources such as seeds using local technology. Heat transfer fluids used in parabolic trough collectors can reach temperatures of 400°C making the technology the most mature for solar thermal power generation [7]. In Mojave Desert, thermal oil flowing through a solar collector reaches temperatures of 393°C, and water conducts thermal heat from the oil and turns to steam that drives turbines for electrical power generation [8]. Improvement in performance of oil-based copper nano-thermal transfer fluid plays a crucial role in enhancing the efficiency and producing thermal systems of higher performances [9]. Characterization of nanoparticles can be done by FESEM and XRD tests. The mass fraction range of fluids with nanoparticles and thermal conductivity in various temperature ranges conforms to standards such as the ASTM D2717-95.

Adding of copper particles to heat transfer fluids improved their efficiency of heat conduction [10]. Studies show that oil-based copper nano-heat transfer fluids can achieve efficiencies of 97.45% at 30°C and 48.92% at 80°C at nanoparticle concentrations of 0.02 [11]. Solar power technologies investment costs continue to reduce and in some instances the cost is competitive compared to fossil fuel costs [12]. Further research on third-generation heat transfer fluids is aimed at producing heat transfer temperatures in the operation range of 800°C [13]. Thermal conductivity measurements are done against a range of temperatures and the concentration. It was observed that nanoparticle concentration was enhanced with the number of particles per cubic centimeter of the heat transfer fluid and temperature [4].

In a study of heat transfer fluids, Syltherm 800 was observed to undergo thermal losses due to low heat capacity [9]. Transmission Electron Microscope is used to study the particle size and the structure. In the hand book by Franz and Kai [14], high aspect ratios of 10 : 1 to 20 : 1 were obtained. In related work, Sivashanmugam [15], nanoparticles obtained high aspect ratios of the nanoparticles produced.

2. Materials and Methods

2.1. Preparation of Oil-Based Copper Nano-Heat Transfer Fluid

The method used for producing the copper nanoparticles was the continuous flow microfluidic microreactor for synthesis of copper particles [6]. The prevention of the copper nanoparticles from aggregation was done by producing lipophilic copper particles [16] where the copper nanoparticles were prepared and modified by O,O-di-n-cetyldithiophosphoric acid. The volume fraction used for making the colloidal fluid was 1.2%. The surface modification was achieved by the organic ligands which prevented clustering of the nanoparticles. A volume of 1.0 × 10−4 m3 of methylbenzene was added to 2.0 × 10−1 m3 of the respective oils before preparation of the copper nanoparticles colloidal fluids.

2.2. Solar Thermal Collection

A volume of 2.0 × 10−1 m3 of the oil-based copper nano-heat transfer fluids was passed through the parabolic trough solar collector of area of 32 m2 which was connected to a heat exchanger [17]. The transfer of solar thermal heat to form steam took place in the heat exchanger [18]. The steam expanded in the turbine and propelled the blades. The steam turbine was coupled to a 1500 W generator that converted the mechanical energy into electrical power. The hot oil-based copper nano-heat transfer fluids flowed through coiled copper tubes in the heat exchanger. The water on the pressurized shell side conducted the solar thermal heat from the hot oil-based copper nano-heat transfer fluids and turned into steam. The solar power intensity was measured using the solar power intensity meter. During the solar thermal collection, the solar power intensities ranged between 700 Wm−2 and 1180 Wm−2.

2.3. Measurement of Mass Flow Rate

Mass flow rate was measured by use of Transit Time Flow Meter at intervals of five minutes. The mass flow rate of heat exchanger was measured using digital flow meters and rheometers. The volume control valve was adjusted to allow maximum volume of 15 kgh−1 of water to be discharged during high demand and a minimum amount to flow of 5 kgh−1 of steam during off-peak demand.

The pressurized steam on the shell side of the heat exchanger was caused by the hot nano-heat transfer fluids. The viscosity was measured using a viscometer which was located at the entrance and exit of solar collector and the exchanger.

Viscosity, , of fluids was obtained by use ofwhere is the volume rate flow and represents length of the tube while represents the Prandtl number.

2.4. Measurement of Efficiency

The total amount of heat absorbed by the oil-based copper nano-heat transfer fluids was determined from mass flow rate at ambient temperature flow, temperature change, and specific heat capacities of the oil-based copper nano-heat transfer fluids. The measurement flow rate and temperature drop were measured using digital oil flow meters and thermocouples, respectively, located at the entry and exit of fluid to and from the heat exchanger.

Equations (1) and (2) were used to determine efficiency of oil-based copper nano-heat transfer fluids.

The mean temperature efficiency of oil-based copper nano-heat transfer fluids was determined by use of

To determine the energy efficiency, , the following equation was used:

The efficiency of conversion of solar power by the receiver in which the oil-based copper nano-heat transfer fluids flowed was determined by use of the following equation [19]where is heat output rate from the oil-based copper nano-heat transfer fluids and is the solar power intensity.

Addition of copper nanoparticles increased the efficiency of nanofluids by 10% compared to when the base fluid did not have the nanoparticles [20].

2.5. Heat Transfer Units

The size of heat exchanger corresponded to the number of transfer of heat units. The number of transfer of heat units was obtained using the following equation [21].where refers to smaller capacity heat rate, UA refers to overall conductance, A refers to total area of heat transfer (m2), and U refers to overall coefficient of heat transfer (W/m2°C). The overall conductance was determined from the product of overall heat coefficients for the different nanofluids and the heat transfer area.

Fluid heat capacity ratio, ω, was obtained by use of the following equation [22]where represents lower capacity of heat of duo streams or lower heat capacity rate and higher heat capacity. In the inner copper tube of the heat exchanger, hot nano-heat transfer fluids’ temperature was reduced by the stream of water flowing in the shell of exchanger and the overall nanofluid coefficient during operation was determined by use of

The magnitudes of U accounted for all other factors that affected the thermal performance.

The overall heat transfer conductance, UA, was obtained by use of equation (6). Thermal conductivity of copper tube in the heat exchanger was 26 Wm−1·K−1 [23]. The magnitude of effectiveness of exchanger was obtained from the magnitude of thermal heat conducted from the nanofluids, by the water which flowed on the pressurized side of exchanger and was normalized with the maximum possible enthalpy change considering no heat losses.

The effectiveness, , of the heat exchanger was obtained by use of

The steam formed exited from the shell side of exchanger through the side outlet of the turbine. Heat transfer coefficients for the oil-based copper nano-heat transfer fluids were determined using documented details [24]. Area of baffles was 0.00038 m2, tube spacing was 0.04 m, and the oil-based copper nano-heat transfer fluid average velocity was 8.0 ms−1. Temperature efficiencies of the heat exchanger streams were also an important measure of performance of the exchanger. The oil-based nanofluids’ efficiency based on temperature was determined using the following equation [25].where is the hot fluid efficiency, is outlet fluid’s temperature at ambient temperature stream, is inlet hot stream temperature, is temperature of the inlet for hot stream, and is inlet fluid temperature at ambient temperature stream.

The temperature efficiency of the water at ambient temperature was determined using the following equation [26];where is temperature of outlet of water at ambient temperature stream, is water inlet temperature at ambient temperature stream, is temperature of outlet for hot stream and is temperature of inlet for hot stream.

Rate fluid hot fluid flux, , at the entrance and exit of heat exchanger was obtained usingwhere refers to heat flow rate, refers to heat magnitude, refers to specific capacity at constant mass, and is the temperature change.

3. Results and Discussion

3.1. Performance of Oil-Based Copper Nano-Heat Transfer Fluids

The oil-based copper nanofluids conducted solar thermal heat energy which was in turn conducted away by the water flowing through the pressurized side of the shell of exchanger. Copper nanoparticles impurities which were added increased boiling point of the fluids to between 363.2°C of nano-castor oil heat transfer fluid and 447.5°C for the unused copper nano-heat transfer fluid. The viscosity of the oil-based copper nanofluids is as shown in Figure 1. This was at a temperature of 351°C, solar power intensity of 832 Wm−2, and a pressure of 4.2 × 105 Pa. The viscosity decreased with the increase in the solar power intensity. The fluids were kept under pressure to increase the flash points. The heat transfer number of exchanger was obtained as 1.20. Avocado oil-based copper nanofluid had the least viscosity and conducted more heat compared to the other nanofluids since it took more time to move over the 5 m length of the solar collector. The change in viscosity of the oil-based nanofluids was 0.01% when compared to the viscosity of the respective engine oil heat transfer fluids.

Figure 2 shows the efficiency with which the oil-based copper nano-heat transfer fluids transmitted the solar thermal heat they conducted to water for steam formation. The unused engine oil-based nanofluid achieved the highest efficiency of 0.827 compared to castor-oil-based nanofluid which achieved the lowest efficiency of 0.612. The castor oil degraded more with increase in temperature compared to the engine oil. The unused copper nanofluid had the highest efficiency of conducting solar thermal heat which was conducted by water to form steam in the heat exchanger.

Figure 3 shows the power output of the oil-based copper nano-heat transfer fluids at a power intensity of 1100 Wm−2 and at a pressure of 1.6 × 105 Nm−2. The unused engine oil-based copper nanofluid produced the highest amount of power. The castor oil copper nanofluid produced the lowest power because it became degraded faster compared to other nanofluids in this study. There was presence of black carbon particles in the oil-based copper nano-heat transfer fluids. In terms of intensity, unused engine oil had the least black carbon color intensity and the castor oil had the highest intensity of the black color intensity at operation temperatures above 150°C. Stability of copper nano-heat transfer fluids deteriorated faster and more intensely beyond 389.6°C. The power output produced by the respective heat transfer fluids is as shown in Figure 3. Beyond the said temperature, the power output reduced to less than 50 W for the unused oil-based nanofluid to less than 20 W for the castor-oil-based heat transfer fluid.

The solar power intensity was in the range 938.4 Wm−2 to 1100.4 Wm−2. The water which flowed on the pressurized side of shell of exchanger conducted more heat as the pressure was increased and it turned into steam. Engine oil-based nano-copper fluids conducted more thermal heat compared to the plant-based copper nanofluids used in this study. This was because the engine oils were synthetic in nature and degraded at higher temperatures of operation. The unused engine showed presence of carbon particles at a temperature of 410°C. Oil-based copper nano-heat transfer fluids under pressure in collector conducted a higher amount of solar thermal heat as compared to when no pressurization of the collector was done. In this study, the heat transfer was enhanced by addition of nanoparticles to the base fluids while in other studies the heat transfer was enhanced by use of fins of different types with considerations of variable thermal physical and geometric parameters [27]. The studies intend to lay a basis for geometrical modifications of extended surfaces based on the cost and availability of space for optimum heat transfer.

The heat conducted by the copper nanofluids was larger with respect to solar power intensity falling on the collector area as shown in Figure 4. The amount of heat collected was due to the increased boiling points and the presence of the copper nano-suspended particles in the solar thermal heat conducting nanofluids. The heat conducted by nanofluids had the effect of the thermal conductivity of the nanofluids increasing threefold in the study conditions given. Turbulence within the nanosuspension and through the copper metallic receiver to the surroundings accounted for energy losses. Although the receiver was coated with a thin film of solar absorptance of 0.95, some losses were experienced at higher temperatures of operation which were between 150°C and 400°C.

The effectiveness of each of the streams was an average of 0.87 for the oil-based copper nano-heat transfer fluids flow (tube side) and an average of 0.94 for the hot water under pressure.

The percentage heat losses for the hot oil-based copper nano-heat transfer fluids occurred at an average temperature of 273.8°C and at an average pressure of 1.2 × 105 Nm−2. The percentage losses are as shown in Table 2. Higher temperatures of the copper nano-based fluids caused an increase in percentage losses of the fluids as shown in Table 2.

Table 3 shows the temperature efficiencies of the oil-based copper nano-heat transfer fluids at an average temperature of 153.9°C, pressure of 6.1 × 105 Nm−2, and a solar power intensity of an average of 1067.4 Wm−2. The efficiencies increased with magnitude of the heat conducted by the oil-based copper nano-heat transfer fluids. The temperature efficiencies of the oil-based copper nano-heat transfer fluids increased with increase in solar power intensity. The unused oil-based nanofluid achieved the highest temperature of 93.4% at a temperature of operation of 394.1°C whereas the castor-oil-based heat transfer fluid achieved temperature efficiency of 64.4% at a temperature of operation of 219°C.

The temperature efficiency of the oil-based copper nano-heat transfer fluids increased with the temperatures of operation. Increase in solar power intensity led to increase in the operational temperatures of the oil-based copper nano-heat transfer fluids. Temperature efficiencies were an indicator of performance of the oil-based copper nano-heat transfer and hence unused engine oil-based nanofluid performed the best while the castor-oil-based nanofluid performed the worst out of the five studied copper particles oil-based nanofluids. The heat coefficient for the oil-based copper nano-heat transfer fluids and their corresponding steam flow rates are as shown in Table 4. However, Al2O3 nanofluid showed highest enhancement in heat transfer coefficient because of higher specific heat as compared to other studied nanofluids [28]. The flow of steam from turbine increased with respect to thermal heat coefficient in addition to higher temperatures of operation and the stability of the oil-based nano-heat transfer fluid.

The heat loss coefficient increased with amount of heat conducted by the oil-based copper nano-heat transfer fluids. The solar power intensity was an average solar power intensity of 953.7 Wm−2. The heat coefficient was proportional to the solar power intensity. The steam flow rate increased with the heat coefficient of the oil-based copper nanofluids. During the cloudy and diffuse solar radiation periods, there was reduced mass flow rate of the steam and hence lower heat coefficients for the oil-based nano-heat transfer fluids.

Figure 5 shows that increase in solar power intensity led to increased amount of heat conducted by the copper nanofluids. The heat conducted was three times the amount conducted when the fluids have no nanoparticles.

Figure 6 shows that steam flow rate of exchanger increased with respect to rising magnitudes of pressures of operation. Pressure increased the boiling point of the water. The steam from the exchanger entered the exchanger at an average temperature of 381.3°C and exited at an average of 96.3°C and it was fed back to the collector. The nano-heat transfer fluids required to be replaced after three days due to the effect of degradation which increased with increasing operation temperatures.

4. Conclusion

Solar thermal collection by use of local copper nanofluids can be used to provide power for off-grid areas with solar power intensities of between 900 Wm−2 and 1100 Wm−2. The 1.2% concertation of the copper nanoparticles increased the thermal conductivity significantly as was seen from the amounts of heat conducted by the oil-based nano-heat transfer fluids. The power produced was an average of 1130 W. The steam flow rates realized in this study were between 7.49 kg/s and 3.69 kg/s that can be scaled up and be utilized in process heat industries, where agricultural food processing, mining, power generation, etc. are in high demand. The colloidal suspensions of local oil-based copper nanofluids conducted solar thermal heat from solar thermal radiation in the range of 20 Kj/s to 80 Kj/s during clear sky conditions. The performance of the oil-based fluids was enhanced threefold by use of copper nanoparticles. The impurities were used to increase the boiling points of the nanofluids. Stabilizing the heat transfer fluids at temperatures beyond 380°C was a challenge due to degradation of the oil-based fluids. Industrialization of third-world countries without environmental pollution requires enhancement of nano-heat transfer fluids that operate at higher temperatures with minimal degradation. Significant long-term oil-based nanofluid settlement and the decreased rates of flow require effective surfactants to minimize blockage of system passages. The use of effective nanofluid stabilizers is recommended without compromising the thermal conductivity of the HTF. The atomic level interactions between the base fluid and the nanoparticles which leads to enhanced thermal conductivity of the oil-based heat transfer fluids require further investigation.

Data Availability

Data are available from the author upon request.

Conflicts of Interest

The author declares no conflicts of interest.

Acknowledgments

University of Embu is appreciated for providing the laboratory space, equipment, and apparatus for the study.